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Volumn 39, Issue 22, 2006, Pages

PT-symmetric quantum theory defined in a Krein space

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EID: 33646889323     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/22/L04     Document Type: Article
Times cited : (26)

References (31)
  • 1
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in non-Hermitian Hamiltonians having symmetry
    • 10.1103/PhysRevLett.80.5243 0031-9007
    • Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonians having symmetry Phys. Rev. Lett. 80 5243-6 (Preprint physics/9712001)
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.24 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 2
    • 0033435556 scopus 로고    scopus 로고
    • PT-symmetric quantum mechanics
    • 10.1063/1.532860 0022-2488
    • Bender C M, Boettcher S and Meisinger P N 1999 PT-symmetric quantum mechanics J. Math. Phys. 40 2201-29 (Preprint quant-ph/9809072)
    • (1999) J. Math. Phys. , vol.40 , Issue.5 , pp. 2201-2229
    • Bender, C.M.1    Boettcher, S.2    Meisinger, P.N.3
  • 3
    • 85007504154 scopus 로고    scopus 로고
    • Should symmetric quantum mechanics be interpreted as nonlinear?
    • 1402-9251
    • Znojil M 2002 Should symmetric quantum mechanics be interpreted as nonlinear? J. Nonlin. Math. Phys. 9 (Suppl 2) 122-133 (Preprint quant-ph/0103054)
    • (2002) J. Nonlin. Math. Phys. , vol.9 , Issue.2 SUPPL. , pp. 122-133
    • Znojil, M.1
  • 4
    • 0035920075 scopus 로고    scopus 로고
    • Spectral equivalences, Bethe ansatz equations, and reality properties in -symmetric quantum mechanics
    • 0305-4470 305
    • Dorey P, Dunning C and Tateo R 2001 Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 34 5679-704 (Preprint hep-th/0103051)
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.28 , pp. 5679-5704
    • Dorey, P.1    Dunning, C.2    Tateo, R.3
  • 6
    • 0001464467 scopus 로고    scopus 로고
    • Variational ansatz for PT-symmetric quantum mechanics
    • 10.1016/S0375-9601(99)00468-5 0375-9601 A
    • Bender C M, Cooper F, Meisinger P and Savage V M 1999 Variational ansatz for -symmetric quantum mechanics Phys. Lett. A 259 224-31 (Preprint quant-ph/9907008)
    • (1999) Phys. Lett. , vol.259 , Issue.3-4 , pp. 224-231
    • Bender, C.M.1    Cooper, F.2    Meisinger, P.3    Savage, V.M.4
  • 7
    • 0034259223 scopus 로고    scopus 로고
    • Conjecture on the interlacing of zeros in complex Sturm-Liouville problems
    • 10.1063/1.1288247 0022-2488
    • Bender C M, Boettcher S and Savage V M 2000 Conjecture on the interlacing of zeros in complex Sturm-Liouville problems J. Math. Phys. 41 6381-7 (Preprint math-ph/0005012)
    • (2000) J. Math. Phys. , vol.41 , Issue.9 , pp. 6381-6387
    • Bender, C.M.1    Boettcher, S.2    Savage, V.M.3
  • 8
    • 0037155037 scopus 로고    scopus 로고
    • Space of state vectors in symmetrical quantum mechanics
    • 0305-4470 315
    • Japaridze G S 2002 Space of state vectors in symmetrical quantum mechanics J. Phys. A: Math. Gen. 35 1709-18 (Preprint quant-ph/0104077)
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.7 , pp. 1709-1718
    • Japaridze, G.S.1
  • 9
    • 0035841302 scopus 로고    scopus 로고
    • Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics
    • 10.1142/S0217732301005333 0217-7323 A
    • Bagchi B, Quesne C and Znojil M 2001 Generalized continuity equation and modified normalization in PT-symmetric quantum mechanics Mod. Phys. Lett. A 16 2047-57 (Preprint quant-ph/0108096)
    • (2001) Mod. Phys. Lett. , vol.16 , Issue.31 , pp. 2047-2057
    • Bagchi, B.1    Quesne, C.2    Znojil, M.3
  • 10
    • 5444251091 scopus 로고    scopus 로고
    • A Krein space approach to PT-symmetry
    • 10.1023/B:CJOP.0000044012.95629.b2 0011-4626
    • Langer H and Tretter C 2004 A Krein space approach to PT-symmetry Czech. J. Phys. 54 1113-20
    • (2004) Czech. J. Phys. , vol.54 , Issue.10 , pp. 1113-1120
    • Langer, H.1    Tretter, C.2
  • 11
    • 0001687992 scopus 로고    scopus 로고
    • Complex extension of quantum mechanics
    • 10.1103/PhysRevLett.89.270401 0031-9007 270401
    • Bender C M, Brody D C and Jones H F 2002 Complex extension of quantum mechanics Phys. Rev. Lett. 89 270401 (Preprint quant-ph/0208076)
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.27 , pp. 270401
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 12
    • 2342567013 scopus 로고    scopus 로고
    • Complex extension of quantum mechanics
    • 10.1103/PhysRevLett.92.119902 0031-9007 119902
    • Bender C M, Brody D C and Jones H F 2004 Complex extension of quantum mechanics Phys. Rev. Lett. 92 119902 (erratum)
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.11 , pp. 119902
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 13
    • 0037458771 scopus 로고    scopus 로고
    • Calculation of the hidden symmetry operator in PT-symmetric quantum mechanics
    • 0305-4470 312
    • Bender C M, Meisinger P N and Wang Q 2003 Calculation of the hidden symmetry operator in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 36 1973-83
    • (2003) J. Phys. A: Math. Gen. , vol.36 , Issue.7 , pp. 1973-1983
    • Bender, C.M.1    Meisinger, P.N.2    Wang, Q.3
  • 14
    • 45849155751 scopus 로고    scopus 로고
    • Scalar quantum field theory with cubic interaction
    • 10.1103/PhysRevLett.93.251601 0031-9007 251601
    • Bender C M, Brody D C and Jones H F 2004 Scalar quantum field theory with cubic interaction Phys. Rev. Lett. 93 251601 (Preprint hep-th/0402011)
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.25 , pp. 251601
    • Bender, C.M.1    Brody, D.C.2    Jones, H.F.3
  • 15
    • 3142574837 scopus 로고    scopus 로고
    • Semiclassical calculation of the operator in PT-symmetric quantum mechanics
    • 10.1016/j.physleta.2004.05.063 0375-9601 A
    • Bender C M and Jones H F 2004 Semiclassical calculation of the operator in -symmetric quantum mechanics Phys. Lett. A 328 102-9 (Preprint hep-th/0405113)
    • (2004) Phys. Lett. , vol.328 , Issue.2-3 , pp. 102-109
    • Bender, C.M.1    Jones, H.F.2
  • 16
    • 0035981958 scopus 로고    scopus 로고
    • Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
    • 10.1063/1.1418246 0022-2488
    • Mostafazadeh A 2002 Pseudo-Hermiticity versus PT symmetry: the necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian J. Math. Phys. 43 205-14 (Preprint math-ph/0107001)
    • (2002) J. Math. Phys. , vol.43 , Issue.1 , pp. 205-214
    • Mostafazadeh, A.1
  • 17
    • 27844491901 scopus 로고    scopus 로고
    • Application of pseudo-Hermitian quantum mechanics to a -symmetric Hamiltonian with a continuum of scattering states
    • 102108
    • Mostafazadeh A 2005 Application of pseudo-Hermitian quantum mechanics to a -symmetric Hamiltonian with a continuum of scattering states J. Math. Phys. 46 102108 (Preprint quant-ph/0506094)
    • (2005) J. Math. Phys. , vol.46
    • Mostafazadeh, A.1
  • 18
    • 17044399715 scopus 로고    scopus 로고
    • Pseudo-Hermitian description of PT-symmetric systems defined on a complex contour
    • 0305-4470 011
    • Mostafazadeh A 2005 Pseudo-Hermitian description of PT-symmetric systems defined on a complex contour J. Phys. A: Math. Gen. 38 3213-34 (Preprint quant-ph/0410012)
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.14 , pp. 3213-3234
    • Mostafazadeh, A.1
  • 19
    • 1942539293 scopus 로고    scopus 로고
    • Quasi-Hermiticity in infinite-dimensional Hilbert spaces
    • 10.1016/j.physleta.2004.03.044 0375-9601 A
    • Kretschmer R and Szymanowski L 2004 Quasi-Hermiticity in infinite-dimensional Hilbert spaces Phys. Lett. A 325 112-7 (Preprint quant-ph/0305123)
    • (2004) Phys. Lett. , vol.325 , Issue.2 , pp. 112-117
    • Kretschmer, R.1    Szymanowski, L.2
  • 20
    • 33645153895 scopus 로고    scopus 로고
    • Nonlinear pseudo supersymmetry in the framework of -fold supersymmetry
    • 0305-4470 014
    • González-López A and Tanaka T 2006 Nonlinear pseudo supersymmetry in the framework of -fold supersymmetry J. Phys. A: Math. Gen. 39 3715-23 (Preprint quant-ph/0602177)
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.14 , pp. 3715-3723
    • González-López, A.1    Tanaka, T.2
  • 22
    • 0001536576 scopus 로고
    • Quasi-Hermitian operators in quantum mechanics and the variational principle
    • 10.1016/0003-4916(92)90284-S 0003-4916
    • Scholtz F G, Geyer H B and Hahne F J W 1992 Quasi-Hermitian operators in quantum mechanics and the variational principle Ann. Phys. 213 74-101
    • (1992) Ann. Phys. , vol.213 , Issue.1 , pp. 74-101
    • Scholtz, F.G.1    Geyer, H.B.2    Hahne, F.J.W.3
  • 24
    • 33646886363 scopus 로고
    • On invariant subspaces of commutative families of operators in a space with an indefinite metric
    • Azizov T Y 1976 On invariant subspaces of commutative families of operators in a space with an indefinite metric Ukrain. Mat. Z. 28 293-299 (in Russian)
    • (1976) Ukrain. Mat. Z. , vol.28 , pp. 293-299
    • Azizov, T.Y.1
  • 25
    • 0542393957 scopus 로고
    • Renormalization of gauge theories
    • 10.1016/0003-4916(76)90156-1 0003-4916
    • Becchi C, Rouet A and Stora R 1976 Renormalization of gauge theories Ann. Phys. 98 287-321
    • (1976) Ann. Phys. , vol.98 , Issue.2 , pp. 287-321
    • Becchi, C.1    Rouet, A.2    Stora, R.3
  • 26
    • 33847554785 scopus 로고
    • Manifestly covariant canonical formulation of Yang-Mills theories, physical state subsidiary conditions and physical S-matrix unitarity
    • 10.1016/0370-2693(78)90765-7 0370-2693 B
    • Kugo T and Ojima I 1978 Manifestly covariant canonical formulation of Yang-Mills theories, physical state subsidiary conditions and physical S-matrix unitarity Phys. Lett. B 73 459-62
    • (1978) Phys. Lett. , vol.73 , Issue.4-5 , pp. 459-462
    • Kugo, T.1    Ojima, I.2
  • 27
    • 0002814026 scopus 로고
    • Local covariant operator formalism of non-Abelian gauge theories and quark confinement problem
    • 0375-9687
    • Kugo T and Ojima I 1979 Local covariant operator formalism of non-Abelian gauge theories and quark confinement problem Prog. Theor. Phys. Suppl. 66 1-130
    • (1979) Prog. Theor. Phys. Suppl. , vol.66 , pp. 1-130
    • Kugo, T.1    Ojima, I.2
  • 28
    • 33646885915 scopus 로고
    • On completeness and the basis property of the eigenvectors and associated vectors of J-selfadjoint operators of class (h)
    • 0197-6788
    • Azizov T Y 1980 On completeness and the basis property of the eigenvectors and associated vectors of J-selfadjoint operators of class (h) Sov. Math. Dokl. 22 193-5 (Engl. Transl.)
    • (1980) Sov. Math. Dokl. , vol.22 , pp. 193-195
    • Azizov, T.Y.1
  • 30
    • 25444497232 scopus 로고    scopus 로고
    • Remarks on PT-pseudo-norm in PT-symmetric quantum mechanics
    • 0305-4470 014
    • Tai T D 2005 Remarks on PT-pseudo-norm in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 38 3665-78 (Preprint math-ph/0502009)
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.16 , pp. 3665-3678
    • Tai, T.D.1


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