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Volumn 62, Issue 4, 2008, Pages 489-515

PT -symmetric waveguides

Author keywords

Eigenvalue and eigenfunction asymptotics; Essential spectrum; J self adjointness; Non self adjointness; PT symmetry; Reality of the spectrum; Robin boundary conditions; Robin Laplacian; Waveguides

Indexed keywords


EID: 58149125411     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00020-008-1634-1     Document Type: Article
Times cited : (59)

References (28)
  • 1
  • 2
    • 34547309949 scopus 로고    scopus 로고
    • Making sense of non-Hermitian Hamiltonians
    • C. M. Bender, Making sense of non-Hermitian Hamiltonians, Rep. Prog. Phys. 70 (2007), 947-1018.
    • (2007) Rep. Prog. Phys , vol.70 , pp. 947-1018
    • Bender, C.M.1
  • 3
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in non-Hermitian Hamiltonians having PT symmetry
    • C. M. Bender and P. N. Boettcher, Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Rev. Lett. 80 (1998), no. 24, 5243-5246.
    • (1998) Phys. Rev. Lett , vol.80 , Issue.24 , pp. 5243-5246
    • Bender, C.M.1    Boettcher, P.N.2
  • 4
    • 33747072086 scopus 로고    scopus 로고
    • Discrete spectrum of a pair of non-symmetric waveguides coupled by a window
    • D. Borisov, Discrete spectrum of a pair of non-symmetric waveguides coupled by a window, Sbornik Mathematics 197 (2006), no. 4, 475-504.
    • (2006) Sbornik Mathematics , vol.197 , Issue.4 , pp. 475-504
    • Borisov, D.1
  • 7
    • 33746736897 scopus 로고    scopus 로고
    • Perturbation theory of PT-symmetric Hamiltonians
    • E. Caliceti, F. Cannata, and S. Graffi, Perturbation theory of PT-symmetric Hamiltonians, J. Phys. A 39 (2006), 10019-10027.
    • (2006) J. Phys. A , vol.39 , pp. 10019-10027
    • Caliceti, E.1    Cannata, F.2    Graffi, S.3
  • 8
    • 11844284804 scopus 로고    scopus 로고
    • Spectra of PT-symmetric operators and perturbation theory
    • E. Caliceti, S. Graffi, and J. Sjöstrand, Spectra of PT-symmetric operators and perturbation theory, J. Phys. A 38 (2005), 185-193.
    • (2005) J. Phys. A , vol.38 , pp. 185-193
    • Caliceti, E.1    Graffi, S.2    Sjöstrand, J.3
  • 9
    • 0035920075 scopus 로고    scopus 로고
    • Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics
    • P. Dorey, C. Dunning, and R. Tateo, Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics, J. Phys. A 34 (2001), 5679-5704.
    • (2001) J. Phys. A , vol.34 , pp. 5679-5704
    • Dorey, P.1    Dunning, C.2    Tateo, R.3
  • 10
    • 0002570054 scopus 로고
    • Curvature-induced bound states in quantum waveguides in two and three dimensions
    • P. Duclos and P. Exner, Curvature-induced bound states in quantum waveguides in two and three dimensions, Rev. Math. Phys. 7 (1995), 73-102.
    • (1995) Rev. Math. Phys , vol.7 , pp. 73-102
    • Duclos, P.1    Exner, P.2
  • 12
    • 0001122314 scopus 로고
    • Bound states in curved quantum waveguides
    • P. Exner and P. Šeba, Bound states in curved quantum waveguides, J. Math. Phys. 30 (1989), 2574-2580.
    • (1989) J. Math. Phys , vol.30 , pp. 2574-2580
    • Exner, P.1    Šeba, P.2
  • 13
    • 3242660616 scopus 로고    scopus 로고
    • On regular and singular perturbation of acoustic and quantum waveguides
    • R. Gadyl'shin, On regular and singular perturbation of acoustic and quantum waveguides, Comptes Rendus Mechanique 332 (2004), no. 8, 647-652.
    • (2004) Comptes Rendus Mechanique , vol.332 , Issue.8 , pp. 647-652
    • Gadyl'shin, R.1
  • 15
    • 0036849861 scopus 로고    scopus 로고
    • Density and current of a dissipative Schrödinger operator
    • H.-Ch. Kaiser, H. Neidhardt, and J. Rehberg, Density and current of a dissipative Schrödinger operator, J. Math. Phys. 43 (2002), 5325-5350.
    • (2002) J. Math. Phys , vol.43 , pp. 5325-5350
    • Kaiser, H.-C.1    Neidhardt, H.2    Rehberg, J.3
  • 16
  • 17
    • 0037269797 scopus 로고    scopus 로고
    • On one-dimensional dissipative Schrödinger-type operators, their dilation and eigenfunction expansions
    • -, On one-dimensional dissipative Schrödinger-type operators, their dilation and eigenfunction expansions, Math. Nachr. 252 (2003), 51-69.
    • (2003) Math. Nachr , vol.252 , pp. 51-69
    • Kaiser, H.-C.1    Neidhardt, H.2    Rehberg, J.3
  • 19
    • 48249145437 scopus 로고    scopus 로고
    • D. Krejčiřík, Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem, J. Phys. A: Math. Theor. 41 (2008), Article ID 244012.
    • D. Krejčiřík, Calculation of the metric in the Hilbert space of a PT-symmetric model via the spectral theorem, J. Phys. A: Math. Theor. 41 (2008), Article ID 244012.
  • 20
    • 33746765643 scopus 로고    scopus 로고
    • Closed formula for the metric in the Hilbert space of a PT-symmetric model
    • D. Krejčiřík, H Bíla, and M. Znojil, Closed formula for the metric in the Hilbert space of a PT-symmetric model, J. Phys. A 39 (2006), 10143-10153.
    • (2006) J. Phys. A , vol.39 , pp. 10143-10153
    • Krejčiřík, D.1    Bíla, H.2    Znojil, M.3
  • 22
    • 5444251091 scopus 로고    scopus 로고
    • A Krein space approach to PT-symmetry
    • H. Langer and Ch. Tretter, A Krein space approach to PT-symmetry, Czech. J. Phys. 54 (2004), 1113-1120.
    • (2004) Czech. J. Phys , vol.54 , pp. 1113-1120
    • Langer, H.1    Tretter, C.2
  • 23
    • 58149108528 scopus 로고    scopus 로고
    • V. P. Mikhailov, Partial differential equations, Nauka, Moscow, 1976, in Russian.
    • V. P. Mikhailov, Partial differential equations, Nauka, Moscow, 1976, in Russian.
  • 24
    • 33751040830 scopus 로고    scopus 로고
    • Krein-space formulation of PT symmetry, CPT-inner products, and pseudo-Hermiticity
    • A. Mostafazadeh, Krein-space formulation of PT symmetry, CPT-inner products, and pseudo-Hermiticity, Czech. J. Phys. 56 (2006), 919-933.
    • (2006) Czech. J. Phys , vol.56 , pp. 919-933
    • Mostafazadeh, A.1
  • 26
    • 0036025753 scopus 로고    scopus 로고
    • On the reality of the eigenvalues for a class of PT-symmetric oscillators
    • K. C. Shin, On the reality of the eigenvalues for a class of PT-symmetric oscillators, Commun. Math. Phys. 229 (2002), 543-564.
    • (2002) Commun. Math. Phys , vol.229 , pp. 543-564
    • Shin, K.C.1
  • 27
    • 84980087163 scopus 로고
    • On the essential spectrum of partial differential boundary problems
    • F. Wolf, On the essential spectrum of partial differential boundary problems, Comm. Pure Appl. Math. 12 (1959), 211-228.
    • (1959) Comm. Pure Appl. Math , vol.12 , pp. 211-228
    • Wolf, F.1
  • 28
    • 0035948190 scopus 로고    scopus 로고
    • PT-symmetric square well
    • M. Znojil, PT-symmetric square well, Phys. Lett. A 285 (2001), 7-10.
    • (2001) Phys. Lett. A , vol.285 , pp. 7-10
    • Znojil, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.