PT-symmetric supersymmetry in a solvable short-range model

International Journal of Modern Physics A

Volumn 21, Issue 10, 2006, Pages 2173-2190

  Bagchi, B ^a   Mallik, S ^a   Bila H ^b   Jakubsky V ^b   Znojil, M ^b   Quesne, C ^c  

^a UNIVERSITY OF CALCUTTA   (India)

^b NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Deep square well; PT symmetry; Shallow imaginary barrier; Supersymmetry

Indexed keywords

EID: 33646454731     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X0602951X     Document Type: Article

References (66)

1. E. Witten, Nucl. Phys. B 188, 513 (1981).
2. B. Bagchi, Supersymmetry in Quantum and Classical Mechanics (Chapman and Hall/CRC Press, London/Boca Raton, Florida, 2000).
3. F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 267 (1995);
4. See also papers in the dedicated issue of J. Phys. A: Math. Gen. 37, 10007-10458 (29 October 2004).
5. C. M. Bender and S. Boettcher, Phys. Rev. Lett. 24, 5243 (1998).
6. E. Delabaere and F. Pham, Phys. Lett. A 250, 25 (1998).
7. F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Gen. 31, 10105 (1998).
8. C. M. Bender, S. Boettcher and P. N. Meisinger, J. Math. Phys. 40, 2201 (1999).
9. F. M. Fernández, R. Guardiola, J. Ros and M. Znojil, J. Phys. A: Math. Phys. 32, 3105 (1999).
10. M. Znojil, What is PT symmetry? quant-ph/0103054v1.
11. A. Ramírez and B. Mielnik, Rev. Fis. Mex. 49(S2), 130 (2003).
12. C. M. Bender, D. C. Brody and H. F. Jones, Am. J. Phys. 71, 1095 (2003).
13. F. Cannata, G. Junker and J. Trost, Phys. Lett. A 246, 219 (1998).
14. A. Andrianov, F. Cannata, J. P. Dedonder and M. V. Ioffe, Int. J. Mod. Phys. A 14, 2675 (1999).
15. M. Znojil, F. Cannata, B. Bagchi and R. Roychoudhury, Phys. Lett. B 483, 284 (2000).
16. M. Znojil, J. Phys. A: Math. Gen. 35, 2341 (2002).
17. M. Znojil, Czech. J. Phys. 51, 420 (2001).
18. G. Lévai and M. Znojil, J. Phys. A: Math. Gen. 35, 8793 (2002).
19. M. Znojil, Nucl. Phys. B 662, 554 (2003).
20. M. Znojil, J. Phys. A: Math. Gen. 37, 9557 (2004).
21. B. Bagchi, S. Mallik and C. Quesne, Int. J. Mod. Phys. A 16, 2859 (2001).
22. B. Bagchi, S. Mallik and C. Quesne, Mod. Phys. Lett. A 17, 1651 (2002).
23. A. Mostafazadeh, A critique of PT-symmetric quantum mechanics, quantph/0310164.
24. C. M. Bender, D. C. Brody and H. F. Jones, Phys. Rev. Lett. 92, 119902 (2004).
25. V. Buslaev and V. Grecchi, J. Phys. A: Math. Gen. 26, 5541 (1993).
26. A. Mostafazadeh, J. Math. Phys. 43, 205 (2002).
27. A. Mostafazadeh, J. Math. Phys. 43, 2814, (2002);
28. A. Mostafazadeh, J. Math. Phys. ibid. 43, 3944 (2002).
29. M. Znojil, Phys. Lett. A 285, 7 (2001).
30. H. Langer and C. Tretter, Czech. J. Phys. 54, 1113 (2004).
31. M. Znojil, J. Math. Phys. 46, 062109 (2005).
32. M. Znojil and G. Lévai, Mod. Phys. Lett. A 16, 2273 (2001).
33. V. Jakubský and M. Znojil, Czech. J. Phys. 54, 1101 (2004).
34. D. Bessis, private communication to M. Znojil in 1992.
35. G. Alvarez, J. Phys. A: Math. Gen. 27, 4589 (1995).
36. P. Dorey, C. Dunning and R. Tateo, J. Phys. A: Math. Gen. 34, 5679 (2001).
37. K. C. Shin, Commun. Math. Phys. 229, 543 (2002).
38. M. Znojil, J. Phys. A: Math. Gen. 33, 4561 (2000).
39. G. Lévai and M. Znojil, J. Phys. A: Math. Gen. 33, 7165 (2000).
40. B. Bagchi and R. Roychoudhury, J. Phys. A: Math. Gen. 33, L1 (2000).
41. M. Znojil, J. Phys. A: Math. Gen. 33, L61 (2000).
42. M. Znojil, Rend. Circ. Mat. Palermo II Suppl. 66, 213 (2001).
43. B. Bagchi and C. Quesne, Phys. Lett. A 273, 285 (2000).
44. Z. Ahmed, Phys. Lett. A 282, 343 (2001).
45. Z. Ahmed, Phys. Lett. A 287, 295 (2001).
46. B. Bagchi and C. Quesne, Phys. Lett. A 300, 18 (2002).
47. B. Bagchi, S. Mallik and C. Quesne, Int. J. Mod. Phys. A 17, 51 (2002).
48. M. Znojil, Phys. Lett. A 259, 220 (1999).
49. A. Mostafazadeh and A. Batal, J. Phys. A 37, 11645 (2004).
50. M. Znojil, Rend. Circ. Mat. Palermo II Suppl. 72, 211 (2004).
51. C. M. Bender, private communication to M. Znojil in 2002.
52. C. M. Bender, D. C. Brody and H. F. Jones, Phys. Rev. Lett. 89, 270401 (2002).
53. A. Mostafazadeh, Czech. J. Phys. 54, 1125 (2004).
54. F. G. Scholtz, H. B. Geyer and F. J. W. Hahne, Ann. Phys. (N. Y.) 213, 74 (1992).
55. R. Kretschmer and L. Szymanowski, Czech. J. Phys. 54, 71 (2004).
56. R. Kretschmer and L. Szymanowski, Phys. Lett. A 325, 112 (2004).
57. E. Caliceti, F. Cannata, M. Znojil and A. Ventura, Phys. Lett. A 335, 26 (2005).
58. M. Znojil, J. Math. Phys. 45, 4418 (2004).
59. M. V. Berry, Czech. J. Phys. 54, 1039 (2004).
60. W. D. Heiss, Czech. J. Phys. 54, 1091 (2004).
61. C. M. Bender, J. Brod, A. Refig and M. E. Reuter, J. Phys. A: Math. Gen. 37, 10139 (2004).
62. C. M. Bender, Czech. J. Phys. 54, 1027 (2004).
63. H. F. Jones, Czech. J. Phys. 54, 1107 (2004).
64. B. Bagchi, C. Quesne and M. Znojil, Mod. Phys. Lett. A 16, 2047 (2001).
65. M. Znojil, F. Gemperle and O. Mustafa, J. Phys. A: Math. Gen. 35, 5781 (2002).
66. H. Bíla, Czech. J. Phys. 54, 1049 (2004).