PT-symmetric regularizations in supersymmetric quantum mechanics

Journal of Physics A: Mathematical and General

Volumn 37, Issue 43, 2004, Pages 10209-10222

  Znojil, Miloslav ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744225405     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/43/013     Document Type: Conference Paper

References (66)

1. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
2. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 24 5243 Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201
3. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 24 5243 Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201
4. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
5. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
6. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
7. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
8. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
9. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Robnik M and Berry M V 1986 J. Phys. A: Math. Gen. 19 669 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Mostafazadeh A 2003 J. Phys. A: Math. Gen. 36 7081 Bender C M, Brody D C and Jones H F 2003 Am. J. Phys. 71 1095
10. Witten E 1981 Nucl. Phys. B 188 513
11. Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (New York: Chapman and Hall) Cooper F, Khare A and Sukhatme 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific)
12. Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (New York: Chapman and Hall) Cooper F, Khare A and Sukhatme 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific)
13. Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (New York: Chapman and Hall) Cooper F, Khare A and Sukhatme 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific)
14. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Mostafazadeh A 1998 J. Math. Phys. 39 4499 Bender C M and Milton K A 1999 J. Phys. A: Math. Gen. 32 L87
15. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Mostafazadeh A 1998 J. Math. Phys. 39 4499 Bender C M and Milton K A 1999 J. Phys. A: Math. Gen. 32 L87
16. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Mostafazadeh A 1998 J. Math. Phys. 39 4499 Bender C M and Milton K A 1999 J. Phys. A: Math. Gen. 32 L87
17. Levai G and Znojil M 2001 Mod. Phys. Lett. A 16 1973 Levai G, Cannata and Ventura A 2002 Phys. Lett. A 300 271
18. Levai G and Znojil M 2001 Mod. Phys. Lett. A 16 1973 Levai G, Cannata and Ventura A 2002 Phys. Lett. A 300 271
19. Scholtz F G, Geyer H B and Hahne F J W 1992 Ann. Phys., NY 213 74
20. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401 Mostafazadeh A 2003 Preprint quant-ph/0310164 Bender C M, Brody D C and Jones H F 2004 Phys. Rev. Lett. 92 119902 (erratum)
21. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401 Mostafazadeh A 2003 Preprint quant-ph/0310164 Bender C M, Brody D C and Jones H F 2004 Phys. Rev. Lett. 92 119902 (erratum)
22. Bender C M, Brody D C and Jones H F 2002 Phys. Rev. Lett. 89 270401 Mostafazadeh A 2003 Preprint quant-ph/0310164 Bender C M, Brody D C and Jones H F 2004 Phys. Rev. Lett. 92 119902 (erratum)
23. Streater R F and Wightman A S 1964 PCT, Spin and Statistics and All That (New York: Benjamin) Mostafazadeh A 2003 J. Math. Phys. 44 974
24. Streater R F and Wightman A S 1964 PCT, Spin and Statistics and All That (New York: Benjamin) Mostafazadeh A 2003 J. Math. Phys. 44 974
25. Dirac P A M 1942 Proc. A. Soc. A 180 1 Pauli W 1043 Rev. Mod. Phys. 15 175 Ramirez A and Mielnik B 2003 Rev. Mex. Fis. 49S2 130
26. Dirac P A M 1942 Proc. A. Soc. A 180 1 Pauli W 1043 Rev. Mod. Phys. 15 175 Ramirez A and Mielnik B 2003 Rev. Mex. Fis. 49S2 130
27. Dirac P A M 1942 Proc. A. Soc. A 180 1 Pauli W 1043 Rev. Mod. Phys. 15 175 Ramirez A and Mielnik B 2003 Rev. Mex. Fis. 49S2 130
28. Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284 Levai G and Znojil M 2002 J. Phys. A: Math. Gen. 35 8793 Znojil M 2003 Rend. Circ. Mat. Palermo 71 (Suppl.) 199
29. Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284 Levai G and Znojil M 2002 J. Phys. A: Math. Gen. 35 8793 Znojil M 2003 Rend. Circ. Mat. Palermo 71 (Suppl.) 199
30. Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284 Levai G and Znojil M 2002 J. Phys. A: Math. Gen. 35 8793 Znojil M 2003 Rend. Circ. Mat. Palermo 71 (Suppl.) 199
31. Znojil M 2002 J. Phys. A: Math. Gen. 35 2341
32. Znojil M 2003 Nucl. Phys. B 662 554
33. Buslaev V and Grecchi V 1993 J. Phys. A: Math. Gen. 26 5541
34. Jevicki A and Rodrigues J 1984 Phys. Lett. B 146 55
35. Das A and Pernice S 1999 Nucl. Phys. B 561 357
36. Ahmed Z 2001 Phys. Lett. A 290 19
37. Znojil M 1999 Phys. Lett. A 259 220
38. Mostafazadeh A 2002 J. Math. Phys. 43 2814
39. Herbst I 1999 private communication Heiss W D and Harney H L 2001 Eur. Phys. J. D 17 149 Kleefeld F 2004 Proc. Inst. Math. NAS Ukraine 50 1367
40. Herbst I 1999 private communication Heiss W D and Harney H L 2001 Eur. Phys. J. D 17 149 Kleefeld F 2004 Proc. Inst. Math. NAS Ukraine 50 1367
41. Herbst I 1999 private communication Heiss W D and Harney H L 2001 Eur. Phys. J. D 17 149 Kleefeld F 2004 Proc. Inst. Math. NAS Ukraine 50 1367
42. Gohberg I, Lancaster P and Rodman L 1983 Matrices and Indefinite Scalar Products (Basel: Birkhäuser) Mostafazadeh A 2002 J. Math. Phys. 43 6343 Mostafazadeh A 2003 J. Math. Phys. 44 943 (erratum)
43. Gohberg I, Lancaster P and Rodman L 1983 Matrices and Indefinite Scalar Products (Basel: Birkhäuser) Mostafazadeh A 2002 J. Math. Phys. 43 6343 Mostafazadeh A 2003 J. Math. Phys. 44 943 (erratum)
44. Gohberg I, Lancaster P and Rodman L 1983 Matrices and Indefinite Scalar Products (Basel: Birkhäuser) Mostafazadeh A 2002 J. Math. Phys. 43 6343 Mostafazadeh A 2003 J. Math. Phys. 44 943 (erratum)
45. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
46. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
47. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
48. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
49. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
50. Andrianov A A, Ioffe M V and Spiridonov V P 1993 Phys. Lett. A 174 273 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1995 Int. J. Mod. Phys. A 10 2683 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Klishevich S M and Plyushchay M S 2002 Nucl. Phys. B 628 217 Mostafazadeh A 2002 Nucl. Phys. B 640 419 Gunther U and Stefani F 2003 J. Math. Phys. 44 3097
51. Bagchi B, Mallik S and Quesne C 2002 Int. J. Mod. Phys. A 17 51
52. Bender C M and Wu T T 1969 Phys. Rev. 184 1231
53. Bagchi B, Mallik S and Quesne C 2002 Mod. Phys. Lett. A 17 1651
54. Znojil M 2003 J. Phys. A: Math. Gen. 36 7825
55. Friš I, Mandrosov V, Smorodinsky J, Uhlíř M and Winternitz P 1965 Phys. Lett. 16 354 Evans N W 1991 J. Math. Phys. 32 3369 Grosche C, Pogosyan G S and Sissakian A N 1995 Fortsch. Phys. 43 45
56. Friš I, Mandrosov V, Smorodinsky J, Uhlíř M and Winternitz P 1965 Phys. Lett. 16 354 Evans N W 1991 J. Math. Phys. 32 3369 Grosche C, Pogosyan G S and Sissakian A N 1995 Fortsch. Phys. 43 45
57. Friš I, Mandrosov V, Smorodinsky J, Uhlíř M and Winternitz P 1965 Phys. Lett. 16 354 Evans N W 1991 J. Math. Phys. 32 3369 Grosche C, Pogosyan G S and Sissakian A N 1995 Fortsch. Phys. 43 45
58. Calogero F 1969 J. Math. Phys. 10 2191 Wojciechowski S R 1983 Phys. Lett. A 95 279
59. Calogero F 1969 J. Math. Phys. 10 2191 Wojciechowski S R 1983 Phys. Lett. A 95 279
60. Jakubský V 2004 Czech. J. Phys. 54 67
61. Znojil M and Tater M 2001 Phys. Lett. A 284 225
62. Feshbach H and Villars F 1958 Rev. Mod. Phys. 30 24
63. Znojil M 2004 Rend. Circ. Mat. Palermo 72 (Suppl.) 211 (Preprint math-ph/0104012)
64. Mostafazadeh A 2003 Class. Quantum Grav. 20 155 Mostafazadeh A 2004 Ann. Phys., NY 309 1
65. Mostafazadeh A 2003 Class. Quantum Grav. 20 155 Mostafazadeh A 2004 Ann. Phys., NY 309 1
66. Znojil M 2004 Czech. J. Phys. 54 151