On the pseudo-hermiticity of a class of PT-symmetric Hamiltonians in one dimension

Modern Physics Letters A

Volumn 17, Issue 30, 2002, Pages 1973-1977

  Mostafazadeh, Ali ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

Pseudo hermiticity; PT symmetry

Indexed keywords

ARTICLE; ELECTRIC POTENTIAL; HAMILTONIAN ANALYSIS; MATHEMATICAL ANALYSIS; NONLINEAR SYSTEM; SCALE UP; SPECTROSCOPY; STANDARD;

EID: 0037190620     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732302008472     Document Type: Article

References (14)

1. A. Mostafazadeh, J. Math. Phys. 43, 205 (2002).
2. A. Mostafazadeh, J. Math. Phys. 43, 2814 (2002).
3. A. Mostafazadeh, J. Math. Phys. 43, 3944 (2002).
4. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998); F. Cannata, G. Junker and J. Trost, Phys. Lett. A246, 219 (1998); C. M. Bender, S. Boettcher and P. N. Meisenger, J. Math. Phys. 40, 2201 (1999); P. Dorey, "The ODE/IM correspondence and PT-symmetric quantum mechanics", hep-th/0201108 and references therein.
5. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998); F. Cannata, G. Junker and J. Trost, Phys. Lett. A246, 219 (1998); C. M. Bender, S. Boettcher and P. N. Meisenger, J. Math. Phys. 40, 2201 (1999); P. Dorey, "The ODE/IM Correspondence and PT-symmetric Quantum Mechanics", hep-th/0201108 and references therein.
6. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998); F. Cannata, G. Junker and J. Trost, Phys. Lett. A246, 219 (1998); C. M. Bender, S. Boettcher and P. N. Meisenger, J. Math. Phys. 40, 2201 (1999); P. Dorey, "The ODE/IM Correspondence and PT-symmetric Quantum Mechanics", hep-th/0201108 and references therein.
7. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998); F. Cannata, G. Junker and J. Trost, Phys. Lett. A246, 219 (1998); C. M. Bender, S. Boettcher and P. N. Meisenger, J. Math. Phys. 40, 2201 (1999); P. Dorey, "The ODE/IM Correspondence and PT-symmetric Quantum Mechanics", hep-th/0201108 and references therein.
8. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998); F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998); F. Cannata, G. Junker and J. Trost, Phys. Lett. A246, 219 (1998); C. M. Bender, S. Boettcher and P. N. Meisenger, J. Math. Phys. 40, 2201 (1999); P. Dorey, "The ODE/IM Correspondence and PT-symmetric Quantum Mechanics", hep-th/0201108 and references therein.
9. Z. Ahmed, Phys. Lett. A290,19 (2001).
10. S. M. Klishevich and M. Plyushchay, Nucl. Phys. B628, 217 (2002).
11. Z. Ahmed, "Pseudo-hermiticity of Hamiltonians under gauge-like transformation: Real spectrum of non-Hermitian Hamiltonians", Phys. Lett. A, to appear.
12. A. Mostafazadeh, "Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians", Nucl. Phys. B, to appear, math-ph/0203041.
13. L. Solombrino, "Weak Pseudo-hermiticity and Antilinear Commutant", quant-ph/0203101.
14. A. Mostafazadeh, "On a Factorization of Symmetric Matrices and Antilinear Symmetries", math-ph/0203023.