Supersymmetry and the spontaneous breakdown of PT symmetry

Journal of Physics A: Mathematical and General

Volumn 34, Issue 28, 2001, Pages

  Dorey, Patrick ^a   Dunning, Clare ^b   Tateo, Roberto ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035920055     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/28/102     Document Type: Article

References (44)

1. 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 5679-703 (this issue)
2. (Dorey P, Dunning C and Tateo R 2001 Preprint hep-th/0103051)
3. Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonians having PT symmetry Phys. Rev. Lett. 80 4243-5246
4. (Bender C M and Boettcher S 1997 Preprint physics/9712001)
5. Bessis D and Zinn-Justin J, unpublished
6. Bender C M and Boettcher S and Meisinger P 1999 PT-symmetric quantum mechanics J. Math. Phys. 40 2201-29
7. (Bender C M and Boettcher S and Meisinger P 1998 Preprint quant-ph/9809072)
8. Delabaere E and Trinh D 2000 Spectral analysis of the complex cubic oscillator J. Phys. A: Math. Gen. 33 8771-96
9. Mezincescu G A 2000 Some properties of eigenvalues and eigenfunctions of the cubic oscillator with imaginary coupling constant J. Phys. A: Math. Gen. 33 4911-6
10. (Mezincescu G A 2000 Preprint quant-ph/0002056)
11. Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Supersymmetry without Hermiticity within PT symmetric quantum mechanics Phys. Lett. B 483 284-9
12. (Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Preprint hep-th/0003277)
13. Bender C M, Dunne G V, Meisinger P N and Simsek M 2001 Quantum complex Hénon-Heiles potentials Preprint quant-ph/0101095
14. Bender C M, Berry M, Meisinger P N, Van M Savage and Simsek M 2001 Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians J. Phys. A: Math. Gen. 34 L31-6
15. Bender C M and Wang Q 2001 Comment on a recent paper by Mezincescu J. Phys. A: Math. Gen. 34 3325-8
16. 2 (R) (reply to Comment by Bender and Wang) J. Phys. A: Math. Gen. 34 3329-32
17. Znojil M 2001 Conservation of pseudo-norm in PT symmetric quantum mechanics Preprint math-ph/0104012
18. Dorey P and Tateo R 1999 Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations J. Phys. A: Math. Gen. 32 L419-25
19. (Dorey P and Tateo R 1998 Preprint hep-th/9812211)
20. Bazhanov V V, Lukyanov S L and Zamolodchikov A B 2001 Spectral determinants for Schrödinger equation and Q-operators of conformal field theory J. Stat. Phys. 102 567-76
21. (Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1998 Preprint hep-th/9812247)
22. Dorey P and Tateo R 1999 On the relation between Stokes multipliers and the T-Q systems of conformal field theory Nucl. Phys. B 563 573-602
23. (Dorey P and Tateo R 1999 Preprint hep-th/9906219)
24. 2 potential J. Stat. Phys. 102 1029-47
25. (Suzuki J 2000 Preprint quant-ph/0003066)
26. Dorey P, Dunning C and Tateo R 2000 Ordinary differential equations and integrable models JHEP Proc. PRHEP-tmr 2000/034
27. (Dorey P, Dunning C and Tateo R 2000 Preprint hep-th/0010148)
28. Voros A 1983 The return of the quartic oscillator. The complex WKB method Ann. Inst. Henri Poincaré 39 211-338
29. Voros A 1999 Exact resolution method for general 1D polynomial Schrödinger equation J. Phys. A: Math. Gen. 32 5993-6007
30. Voros A 2000 J. Phys. A: Math. Gen. 33 5783-4 (corrigendum)
31. (Voros A 1999 Preprint math-ph/9903045)
32. Witten E 1981 Dynamical breaking of supersymmetry Nucl. Phys. B 188 513-54
33. Shifman M A 1995 Beginning supersymmetry (supersymmetry in quantum mechanics) (ITEP Lectures on Particle Physics and Field Theory vol 1) pp 301-44
34. Aoyama H, Sato M and Tanaka T 2001 General forms of a script N-fold supersymmetric family Phys. Lett. B 503 423-9
35. (Aoyama H, Sato M and Tanaka T 2000 Preprint quant-ph/0012065)
36. Turbiner A V 1988 Quasi-exactly-soluble problems and sl(2,R) algebra Commun. Math. Phys. 118 467-74
37. Klishevich S M and Plyushchay M S Nonlinear supersymmetry, quantum anomaly and quasi-exactly solvable systems Nucl. Phys. B 606 583-612
38. (Klishevich S M and Plyushchay M S 2000 Preprint hep-th/0012023)
39. Bender C M and Dunne G V 1996 Quasi-exactly solvable systems and orthogonal polynomials J. Math. Phys. 37 6-11
40. (Bender C M and Dunne G V 1995 Preprint hep-th/9511138)
41. Bender C M and Boettcher S 1998 Quasi-exactly solvable quartic potential J. Phys. A: Math. Gen. 31 L273-7
42. (Bender C M and Boettcher S 1998 Preprint physics/9801007)
43. Dorey P, Pillin M, Tateo R and Watts G M T 2001 One-point functions in perturbed boundary conformal field theories Nucl. Phys. B 594 625-59
44. (Dorey P, Pillin M, Tateo R and Watts G M T 2000 Preprint hep-th/0007077)