Generalized PT symmetry and real spectra

Journal of Physics A: Mathematical and General

Volumn 35, Issue 31, 2002, Pages

  Bender, Carl M ^a   Berry, M V ^b   Mandilara, Aikaterini ^a  

^a WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037047597     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/31/101     Document Type: Article

References (13)

1. Bender C M, Berry M V, Meisinger P N, Savage V M and Simsek M 2001 Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians J. Phys. A: Math. Gen. 34 L31-6
2. Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonians having PT symmetry Phys. Rev. Lett. 80 5243-6
3. Bender C M, Boettcher S and Meisinger P N 1999 PT-symmetric quantum mechanics J. Math. Phys. 40 2201-29
4. Bender C M and Wang Q 2001 Comment on a recent paper by Mezincescu J. Phys. A: Math. Gen. 33 3325-8
5. Berry M V and O'Dell D H J 1998 Diffraction by volume gratings with imaginary potentials J. Phys. A: Math. Gen. 33 2093-101
6. Delabaere E and Trinh D 2000 Spectral analysis of the complex cubic oscillator J. Phys. A: Math. Gen. 33 8771-96
7. Dorey P, Dunning C and Tateo R 2001a Spectral equivalences, Bethe ansatz equations, and reality properties in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 34 5679-704
8. Dorey P, Dunning C and Tateo R 2001b Supersymmetry and the spontaneous breakdown of PT symmetry J. Phys. A: Math. Gen. 34 L391-400
9. Japaridze G S 2002 Space of state vectors in PT-symmetric quantum mechanics J. Phys. A: Math. Gen. 35 1709-18
10. Mezincescu G A 2000 Some properties of the complex cubic oscillator with imaginary coupling constant J. Phys. A: Math. Gen. 33 4911-6
11. Mostafadazeh 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
12. Porter C E 1965 Statistical Theories of Spectra: Fluctuations (New York: Academic)
13. Robnik M and Berry M V 1986 False time-reversal violation and energy-level statistics: the role of antiunitary symmetry J. Phys. A: Math. Gen. 19 669-82