Supersymmetric biorthogonal quantum systems

Journal of Mathematical Physics

Volumn 48, Issue 9, 2007, Pages

  Curtright, Thomas ^a,b   Mezincescu, Luca ^a   Schuster, David ^a  

^a Department of Biology   (United States)

^b INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34848836343     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2191367     Document Type: Article

References (83)

1. C. Bender, " Introduction to PT-symmetric quantum theory., " Contemp. Phys. 46, 277-292 (2005); arXiv:quant-ph/0501052. This review provides a guide to the PT literature with emphasis on the contributions of the author and his collaborators.
2. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
3. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
4. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
5. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
6. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
7. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
8. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
9. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
10. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
11. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
12. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
13. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
14. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
15. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
16. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
17. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
18. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
19. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G.
20. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
21. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
22. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
23. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
24. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
25. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
26. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
27. M. Akta and R. Sever, " Supersymmetric solution of PT-/non-PT-symmetric and non-Hermitian Morse potential via Hamiltonian hierarchy method., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732304015993 19, 2871-2877 (2004); M. Akta and R. Sever, arXiv:hep-th/0404213; B. Bagchi and C. Quesne, " PT-symmetric non-polynomial oscillators and hyperbolic potential with two known real eigenvalues in a SUSY framework., " Mod. Phys. Lett. A 0217-7323 10.1142/S0217732302006734 17, 463-473 (2002); B. Bagchi and C. Quesne, arXiv:quant-ph/0201063; B. Bagchi, " CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C., " Int. J. Mod. Phys. A 0217-751X 10.1142/S0217751X05022901 20, 7107-7128 (2005); arXiv:hep-th/0412211; B. Bagchi, " PT-symmetric supersymmetry in a solvable short-range model., " arXiv:quant-ph/0503035; C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, " Variational ansatz for PT-symmetric quantum mechanics., " Phys. Lett. A 0375-9601 10.1016/S0375-9601(99)00468-5 259, 224-231 (1999); C. Bender, F. Cooper, P. Meisinger, and V. M. Savage, arXiv:quant-ph/9907008; C. A. Bender and K. A. Milton, " Model of supersymmetric quantum field theory with broken parity symmetry., " Phys. Rev. D 0556-2821 10.1103/PhysRevD.57.3595 57, 3595-3608 (1998); C. A. Bender and K. A. Milton, arXiv:hep-th/9710076; E. Caliceti, " Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry., " Phys. Lett. A 0375-9601 10.1016/j.physleta.2004.12.004 335, 26-30 (2005); E. Caliceti arXiv:math-ph/0406031; P. Dorey, C. Dunning, and R. Tateo, " Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics., " J. Phys. A 0305-4470 10.1088/0305-4470/34/28/305 34, 5679-5704 (2001); P. Dorey, C. Dunning, and R. Tateo, arXiv:hep-th/0103051; G. Faridfathi, R. Sever, and M. Akta, " Exponential type complex and non-Hermitian potentials in PT-symmetric quantum mechanics and Hamiltonian hierarchy method., " J. Math. Chem. 0259-9791 10.1007/s10910-005-6900-8 38, 533 (2005); arXiv:quant-ph/0407016; A. Khare and U. Sukhatme, " Analytically solvable PT-invariant periodic potentials., " arXiv:quant-ph/0402106; A. Khare and U. Sukhatme, " Periodic potentials and supersymmetry., " arXiv:quant-ph/0402206; A. Mostafazadeh, " Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians., " Nucl. Phys. B 0550-3213 10.1016/S0550-3213(02)00347-4 640, 419-434 (2002); A. Mostafazadeh, arXiv:math-ph/0203041; B. F. Samsonov, " SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians., " J. Phys. A 0305-4470 10.1088/0305-4470/38/21/L04 38, L397-L403 (2005); B. F. Samsonov, arXiv:quant-ph/0503075; A. Sinha and R. Roychoudhury, " Isospectral partners of a complex PT-invariant potential., " arXiv:quant-ph/0205124; A. Sinha and P. Roy, " New exactly solvable isospectral partners for PT symmetric potentials., " arXiv:quant-ph/ 0312085; M. Znojil, " PT symmetry and supersymmetry., " IoP Conf. Ser. 173, 629-632 (2003) (" Group 24: Phys. and Math. Aspects of Symmetries., " IoP, Bristol, 2003, edited by, P. Gazeau,) arXiv:hep-th/0209062; M. Znojil, " PT-symmetric regularizations in supersymmetric quantum mechanics., " J. Phys. A 37, 10209-10222 (2004); M. Znojil, arXiv:hep-th/0404145.
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43. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
44. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
45. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
46. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
47. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
48. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
49. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
50. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
51. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
52. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
53. B. Birnir, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.3160390102 39, 1-49 (1986); P. Deift, unpublished (ca. 1985); M. G. Gasymov, Funct. Anal. Appl. 0016-2663 14, 11-15 (1980); D. C. McGarvey, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(62)90038-0 4, 366-410 (1962); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90105-8 11, 564-569 (1965); M. G. Gasymov, J. Math. Anal. Appl. 0022-247X 10.1016/0022-247X(65)90033-8 12, 187-234 (1963); L. A. Pastur and V. A. Tkachenko, Funct. Anal. Appl. 0016-2663 10.1007/BF01077617 22, 156-158 (1988); F. S. Rofe-Beketov, Sov. Math. Dokl. 0197-6788 4, 1563-1566 (1963); K. C. Shin, J. Math. Phys. 0022-2488 10.1063/1.1366328 42, 2513-2530 (2001); K. C. Shin, Math. Nachr. 0025-584X 261-262, 171-175 (2003); K. C. Shin, J. Math. Anal. Appl. 0022-247X 10.1016/j.jmaa.2004.06.024 299, 19 (2004); K. C. Shin, J. Phys. A 0305-4470 10.1088/0305-4470/37/34/007 37, 8287-8292 (2004); K. C. Shin, arXiv:math-ph/0007006; K. C. Shin, arXiv:math-ph/0308032; K. C. Shin, arXiv:math.SP/0312254; K. C. Shin, arXiv:math-ph/0404015; V. A. Tkachenko, Sov. Math. Dokl. 0197-6788 5, 413-415 (1964); O. A. Veliev, Sov. Math. Dokl. 0197-6788 250, 1292-1296 (1980); O. A. Veliev and M. Toppamuk Duman, J. Math. Anal. Appl. 265, 76-90 (2002).
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