메뉴 건너뛰기




Volumn 371, Issue 1989, 2013, Pages

Hermitian hamiltonian equivalent to a given non-hermitian one: Manifestation of spectral singularity

Author keywords

Continuous spectrum; Pseudo hermitian hamiltonians; Spectral singularity; Supersymmetric quantum mechanics

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; QUANTUM THEORY; SCATTERING PARAMETERS; SUPERSYMMETRY;

EID: 84875453827     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2012.0044     Document Type: Article
Times cited : (14)

References (29)
  • 1
    • 72649084319 scopus 로고    scopus 로고
    • Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model
    • doi:10.1103/PhysRevB.80.165125
    • Longhi S. 2009 Spectral singularities in a non-Hermitian Friedrichs-Fano-Anderson model. Phys. Rev. B 80, 165125. (doi:10.1103/PhysRevB. 80.165125).
    • (2009) Phys. Rev. B , vol.80 , pp. 165125
    • Longhi, S.1
  • 2
    • 76249127920 scopus 로고    scopus 로고
    • Spectral singularities and Bragg scattering in complex crystals
    • doi:10.1103/PhysRevA.81.022102
    • Longhi S. 2010 Spectral singularities and Bragg scattering in complex crystals. Phys. Rev. A 81, 022102. (doi:10.1103/PhysRevA.81.022102).
    • (2010) Phys. Rev. A , vol.81 , pp. 022102
    • Longhi, S.1
  • 3
    • 67650882549 scopus 로고    scopus 로고
    • Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions
    • doi:10.1088/1751- 8113/42/12/125303
    • Mostafazadeh A, Mehri-Dehnavi H. 2009 Spectral singularities, biorthonormal systems and a two-parameter family of complex point interactions. J. Phys. A 42, 125303. (doi:10.1088/1751- 8113/42/12/125303).
    • (2009) J. Phys. A , vol.42 , pp. 125303
    • Mostafazadeh, A.1    Mehri-Dehnavi, H.2
  • 4
    • 70349513783 scopus 로고    scopus 로고
    • Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides
    • doi:10.1103/PhysRevA.80.032711
    • Mostafazadeh A. 2009 Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides. Phys. Rev. A 80, 032711. (doi:10.1103/PhysRevA.80.032711).
    • (2009) Phys. Rev. A , vol.80 , pp. 032711
    • Mostafazadeh, A.1
  • 5
    • 66749184063 scopus 로고    scopus 로고
    • Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies
    • doi:10.1103/PhysRevLett.102.220402
    • Mostafazadeh A. 2009 Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies. Phys. Rev. Lett. 102, 220402. (doi:10.1103/PhysRevLett.102.220402).
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 220402
    • Mostafazadeh, A.1
  • 6
    • 80052580378 scopus 로고    scopus 로고
    • Spectral singularities of a general point interaction
    • doi:10.1088/1751-8113/44/37/375302
    • Mostafazadeh A. 2011 Spectral singularities of a general point interaction. J. Phys. A Math. Theor. 44, 375302. (doi:10.1088/1751-8113/44/37/ 375302).
    • (2011) J. Phys. A Math. Theor , vol.44 , pp. 375302
    • Mostafazadeh, A.1
  • 7
    • 80052262470 scopus 로고    scopus 로고
    • Spectral singularities of a complex spherical barrier potential and their optical realization
    • doi:10.1016/j.physleta.2011.07.052
    • Mostafazadeh A. 2011 Spectral singularities of a complex spherical barrier potential and their optical realization. Phys. Lett. A 375, 3387-3391. (doi:10.1016/j.physleta.2011.07.052).
    • (2011) Phys. Lett. A , vol.375 , pp. 3387-3391
    • Mostafazadeh, A.1
  • 8
    • 80051604323 scopus 로고    scopus 로고
    • Semiclassical analysis of spectral singularities and their applications in optics
    • doi:10.1103/PhysRevA.84.023809
    • Mostafazadeh A. 2011 Semiclassical analysis of spectral singularities and their applications in optics. Phys. Rev. A 84, 023809. (doi:10.1103/PhysRevA. 84.023809).
    • (2011) Phys. Rev. A , vol.84 , pp. 023809
    • Mostafazadeh, A.1
  • 9
    • 79960670051 scopus 로고    scopus 로고
    • Optical spectral singularities as threshold resonances
    • doi:10.1103/PhysRevA.83.045801
    • Mostafazadeh A. 2011 Optical spectral singularities as threshold resonances. Phys. Rev. A 83, 045801. (doi:10.1103/PhysRevA.83.045801).
    • (2011) Phys. Rev. A , vol.83 , pp. 045801
    • Mostafazadeh, A.1
  • 10
    • 77955240459 scopus 로고    scopus 로고
    • Spectral singularities for non-Hermitian onedimensional Hamiltonians: Puzzles with resolution of identity
    • doi:10.1063/1.3422523
    • Andrianov AA, Cannata F, Sokolov AV. 2010 Spectral singularities for non-Hermitian onedimensional Hamiltonians: puzzles with resolution of identity. J. Math. Phys. 51, 052104. (doi:10.1063/1.3422523).
    • (2010) J. Math. Phys. , vol.51 , pp. 052104
    • Andrianov, A.A.1    Cannata, F.2    Sokolov, A.V.3
  • 11
    • 78649640336 scopus 로고    scopus 로고
    • SUSY transformations with complex factorization constants: Application to spectral singularities
    • doi:10.1088/1751-8113/43/40/402006
    • Samsonov BF. 2010 SUSY transformations with complex factorization constants: application to spectral singularities. J. Phys. A 43, 402006. (doi:10.1088/1751-8113/43/40/402006).
    • (2010) J. Phys. A , vol.43 , pp. 402006
    • Samsonov, B.F.1
  • 12
    • 80052955967 scopus 로고    scopus 로고
    • Scattering cross-section resonance originating from a spectral singularity
    • doi:10.1088/1751-8113/44/39/392001
    • Samsonov BF. 2011 Scattering cross-section resonance originating from a spectral singularity. J. Phys. A 44, 392001. (doi:10.1088/1751-8113/44/39/ 392001).
    • (2011) J. Phys. A , vol.44 , pp. 392001
    • Samsonov, B.F.1
  • 13
    • 70349546370 scopus 로고    scopus 로고
    • On the concept of spectral singularities
    • Guseinov GSH. 2009 On the concept of spectral singularities. Pramana J. Phys. 73, 587-603. (http://www.ias.ac.in/pramana/v73/p587/fulltext.pdf).
    • (2009) Pramana J. Phys. , vol.73 , pp. 587-603
    • Guseinov, G.S.H.1
  • 14
    • 18744381334 scopus 로고    scopus 로고
    • SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians
    • DOI 10.1088/0305-4470/38/21/L04, PII S0305447005959660
    • Samsonov BF. 2005 SUSY transformations between diagonalizable and non-diagonalizable Hamiltonians. J. Phys. A 38, L397-L403. (doi:10.1088/0305- 4470/38/21/L04). (Pubitemid 40669837)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.21
    • Samsonov, B.F.1
  • 15
    • 23844508156 scopus 로고    scopus 로고
    • Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations
    • DOI 10.1088/0305-4470/38/34/L02, PII S0305447005015052
    • Samsonov BF. 2005 Spectral singularities of non-Hermitian Hamiltonians and SUSY transformations. J. Phys. A 38, L571-L579. (doi:10.1088/0305-4470/38/ 34/L02). (Pubitemid 41168979)
    • (2005) Journal of Physics A: Mathematical and General , vol.38 , Issue.34
    • Samsonov, B.F.1
  • 18
    • 0001687992 scopus 로고    scopus 로고
    • Complex extension of quantum mechanics
    • doi:10.1103/PhysRevLett.89.270401
    • Bender CM, Brody DC, Jones HF. 2002 Complex extension of quantum mechanics. Phys. Rev. Lett. 89, 270401. (doi:10.1103/PhysRevLett.89.270401).
    • (2002) Phys. Rev. Lett , vol.89 , pp. 270401
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 19
    • 0035981741 scopus 로고    scopus 로고
    • Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo- Hermiticity and the presence of antilinear symmetries
    • doi:10.1063/1. 1489072
    • Mostafazadeh A. 2002 Pseudo-Hermiticity versus PT-symmetry III: equivalence of pseudo- Hermiticity and the presence of antilinear symmetries. J. Math. Phys. 43, 3944. (doi:10.1063/1. 1489072).
    • (2002) J. Math. Phys. , vol.43 , pp. 3944
    • Mostafazadeh, A.1
  • 20
    • 33746700219 scopus 로고    scopus 로고
    • Non-Hermitian quantum mechanics of non-diagonalizable Hamiltonians: Puzzles with self-orthogonal states
    • DOI 10.1088/0305-4470/39/32/S20, PII S0305447006191179, S20
    • Sokolov AV, Andrianov AA, Cannata F. 2006 Non-Hermitian quantum mechanics of nondiagonalizable Hamiltonians: puzzles with self-orthogonal states. J. Phys. A: Math. Gen. 39, 10207. (doi:10.1088/0305-4470/39/32/S20). (Pubitemid 44159647)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.32 , pp. 10207-10227
    • Sokolov, A.V.1    Andrianov, A.A.2    Cannata, F.3
  • 21
    • 34248594954 scopus 로고    scopus 로고
    • Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians, I, General properties
    • doi:10.1016/j.nuclphysb.2007.03.016
    • Andrianov AA, Cannata F, Sokolov AV. 2007 Non-linear supersymmetry for non-Hermitian, non-diagonalizable Hamiltonians. I. General properties. Nucl. Phys. B 773, 107-136. (doi:10.1016/j.nuclphysb.2007.03.016).
    • (2007) Nucl. Phys. B , vol.773 , pp. 107-136
    • Andrianov, A.A.1    Cannata, F.2    Sokolov, A.V.3
  • 22
    • 84980076125 scopus 로고
    • Some non-selfadjoint operators
    • doi:10.1002/cpa.3160130405
    • Schwartz J. 1960 Some non-selfadjoint operators. Commun. Pure Appl. Math. 13, 609-639. (doi:10.1002/cpa.3160130405).
    • (1960) Commun. Pure Appl. Math. , vol.13 , pp. 609-639
    • Schwartz, J.1
  • 23
    • 0001536576 scopus 로고
    • Quasi-Hermitian operators in quantum mechanics and the variational principle
    • doi:10.1016/0003-4916(92)90284-S
    • Scholtz FG, Geyer HB, Hahne FJW. 1992 Quasi-Hermitian operators in quantum mechanics and the variational principle. Ann. Phys. NY 213, 74-101. (doi:10.1016/0003-4916(92)90284-S).
    • (1992) Ann. Phys. NY , vol.213 , pp. 74-101
    • Scholtz, F.G.1    Geyer, H.B.2    Hahne, F.J.W.3
  • 24
    • 0038083038 scopus 로고    scopus 로고
    • Exact PT-symmetry is equivalent to Hermiticity
    • doi:10.1088/0305-4470/36/25/312
    • Mostafazadeh A. 2003 Exact PT-symmetry is equivalent to Hermiticity. J. Phys. A: Math. Gen. 36, 7081-7092. (doi:10.1088/0305-4470/36/25/312).
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 7081-7092
    • Mostafazadeh, A.1
  • 25
    • 0037363149 scopus 로고    scopus 로고
    • Pseudo-Hermiticity and generalized PT- and CPT-symmetries
    • DOI 10.1063/1.1539304
    • Mostafazadeh A. 2003 Pseudo-Hermiticity and generalized PT- and CPT-symmetries. J. Math. Phys. 44, 974-989. (doi:10.1063/1.1539304). (Pubitemid 36446121)
    • (2003) Journal of Mathematical Physics , vol.44 , Issue.3 , pp. 974-989
    • Mostafazadeh, A.1
  • 26
    • 0040072192 scopus 로고
    • Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics
    • doi:10.1063/1. 3651222
    • Bagrov VG, Samsonov BF. 1995 Darboux transformation, factorization, and supersymmetry in one-dimensional quantum mechanics. Theor. Math. Phys. 104, 356-367. (doi:10.1063/1. 3651222).
    • (1995) Theor. Math. Phys , vol.104 , pp. 356-367
    • Bagrov, V.G.1    Samsonov, B.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.