PT-symmetric potentials and the so(2, 2) algebra

Journal of Physics A: Mathematical and General

Volumn 35, Issue 24, 2002, Pages 5041-5057

  Levai G ^a   Cannata, F ^b   Ventura, A ^c  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c INFN SEZIONE DI BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037150664     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/24/305     Document Type: Article

References (42)

1. Infeld L and Hull T E 1951 Rev. Mod. Phys. 23 21
2. For a review, see for example, Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267
3. Wybourne B G 1974 Classical Groups for Physicists (New York: Wiley)
4. Grudzinski K and Wybourne B G 1996 Rep. Math. Phys. 38 251
5. Alhassid Y, Gürsey F and Iachello F 1983 Phys. Rev. Lett. 50 873 Alhassid Y, Gürsey F and Iachello F 1983 Ann. Phys., NY 148 346 Alhassid Y, Gürsey F and Iachello F 1986 Ann. Phys., NY 167 181
6. Alhassid Y, Gürsey F and Iachello F 1983 Phys. Rev. Lett. 50 873 Alhassid Y, Gürsey F and Iachello F 1983 Ann. Phys., NY 148 346 Alhassid Y, Gürsey F and Iachello F 1986 Ann. Phys., NY 167 181
7. Alhassid Y, Gürsey F and Iachello F 1983 Phys. Rev. Lett. 50 873 Alhassid Y, Gürsey F and Iachello F 1983 Ann. Phys., NY 148 346 Alhassid Y, Gürsey F and Iachello F 1986 Ann. Phys., NY 167 181
8. Gendenshtein L E 1983 Zh. Eksp. Teor. Fiz. Pis. Red. 38 299 (Eng. transl. 1983 JETP Lett. 38 35)
9. Gendenshtein L E 1983 Zh. Eksp. Teor. Fiz. Pis. Red. 38 299 (Eng. transl. 1983 JETP Lett. 38 35)
10. Miller W Jr 1968 Lie Theory and Special Functions (New York: Academic)
11. Lévai G 1994 J. Phys. A: Math. Gen. 27 3809
12. Balantekin A B 1998 Phys. Rev. A 57 4188
13. Gangopadhyaya A, Mallow J V and Sukhatme U P 1998 Phys. Rev. A 58 4287
14. Wu J, Alhassid Y and Gürsey F 1989 Ann. Phys., NY 196 163
15. Wu J and Alhassid Y 1990 J. Math. Phys. 31 557
16. Natanzon G A 1971 Teor. Mat. Fiz. 38 146
17. Lévai G, Cannata F and Ventura A 2001 J. Phys. A: Math. Gen. 34 839
18. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 24 5243
19. Znojil M 2000 J. Phys. A: Math. Gen. 33 4561
20. Lévai G 1989 J. Phys. A: Math. Gen. 22 689
21. Barut A O, Inomata A and Wilson R 1987 J. Phys. A: Math. Gen. 20 4083
22. Baran S A, Dalgic A and Kerimov G A 2001 J. Math. Phys. 42 543
23. Barut A O, Inomata A and Wilson R 1987 J. Phys. A: Math. Gen. 20 4075
24. Quesne C 1988 J. Phys. A: Math. Gen. 21 4487
25. Wu J 1985 PhD Thesis Yale University unpublished
26. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 24 5243
27. Lévai G and Znojil M 2000 J. Phys. A: Math. Gen. 33 7165
28. Alhassid Y, Iachello F and Levine R D 1985 Phys. Rev. Lett. 54 1746
29. Bagchi B and Quesne C 2000 Phys. Lett. A 273 285
30. Bagchi B, Quesne C and Znojil M 2001 Mod. Phys. Lett. A16 2047
31. Ahmed Z 2001 Phys. Lett. A 282 343
32. Lévai G and Znojil M 2001 Mod. Phys. Lett. A 30 1973 (Preprint quant-ph/0110064)
33. Khare A and Sukhatme U P 1988 J. Phys. A: Math. Gen. 21 L501
34. Azimov Ya I 1967 Yad. Fiz. 4 663 (Eng. transl. Sov. J. Nucl. Phys. 4 469)
35. Azimov Ya I 1967 Yad. Fiz. 4 663 (Eng. transl. Sov. J. Nucl. Phys. 4 469)
36. Znojil M and Tater M 2001 Phys. Lett. A 284 225 Znojil M and Tater M 2001 J. Phys. A: Math. Gen. 34 1793
37. Znojil M and Tater M 2001 Phys. Lett. A 284 225 Znojil M and Tater M 2001 J. Phys. A: Math. Gen. 34 1793
38. Barut A O and Raczka R 1980 Theory of Group Representations and Applications (Warsaw: Polish Scientific Publishers)
39. Lévai G 1996 Proc. IVth Wigner Symp. (Guadalajara, Mexico, 1995) (Singapore: World Scientific) p 88
40. Li H and Kusnezov D 1999 Phys. Rev. Lett. 83 1283
41. Znojil M 2001 J. Phys. A: Math. Gen. 34 9598
42. Landau L D and Lifshitz E M 1960 Quantum Mechanics (London: Pergamon)