Complex Calogero model with real energies

Journal of Physics A: Mathematical and General

Volumn 34, Issue 8, 2001, Pages 1793-1803

  Znojil, Miloslav ^a   Tater, Miloš ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035794085     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/8/321     Document Type: Article

References (44)

1. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1999 Int. J. Mod. Phys. A 14 2675 Bagchi B and Roychoudhury R 2000 J. Phys. A: Math. Gen. 33 L1 Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284
2. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1999 Int. J. Mod. Phys. A 14 2675 Bagchi B and Roychoudhury R 2000 J. Phys. A: Math. Gen. 33 L1 Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284
3. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1999 Int. J. Mod. Phys. A 14 2675 Bagchi B and Roychoudhury R 2000 J. Phys. A: Math. Gen. 33 L1 Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284
4. Cooper F, Khare A and Sukhatme U 1995 Phys. Rep. 251 267 Andrianov A A, Ioffe M V, Cannata F and Dedonder J P 1999 Int. J. Mod. Phys. A 14 2675 Bagchi B and Roychoudhury R 2000 J. Phys. A: Math. Gen. 33 L1 Znojil M, Cannata F, Bagchi B and Roychoudhury R 2000 Phys. Lett. B 483 284
5. Turbiner A 1988 Commun. Math. Phys. 118 467 Ushveridze A G 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics)
6. Turbiner A 1988 Commun. Math. Phys. 118 467 Ushveridze A G 1994 Quasi-Exactly Solvable Models in Quantum Mechanics (Bristol: Institute of Physics)
7. Prüfer H 1926 Math. Ann. 95 499 Flügge S 1971 Practical Quantum Mechanics vol 1 (Berlin: Springer) p 153 Bender C M, Boettcher S and Savage Van M 2000 J. Math. Phys. 41 6381
8. Prüfer H 1926 Math. Ann. 95 499 Flügge S 1971 Practical Quantum Mechanics vol 1 (Berlin: Springer) p 153 Bender C M, Boettcher S and Savage Van M 2000 J. Math. Phys. 41 6381
9. Prüfer H 1926 Math. Ann. 95 499 Flügge S 1971 Practical Quantum Mechanics vol 1 (Berlin: Springer) p 153 Bender C M, Boettcher S and Savage Van M 2000 J. Math. Phys. 41 6381
10. Calogero F 1969 J. Math. Phys. 10 2191
11. Olshanetsky M A and Perelomov A M 1983 Phys. Rep. 94 313 Rühl W and Turbiner A 1995 Mod. Phys. Lett. A 10 2213 Turbiner A 1998 Mod. Phys. Lett. A 13 1473 Brink L, Turbiner A and Wyllard N 1998 J. Math. Phys. 39 1285
12. Olshanetsky M A and Perelomov A M 1983 Phys. Rep. 94 313 Rühl W and Turbiner A 1995 Mod. Phys. Lett. A 10 2213 Turbiner A 1998 Mod. Phys. Lett. A 13 1473 Brink L, Turbiner A and Wyllard N 1998 J. Math. Phys. 39 1285
13. Olshanetsky M A and Perelomov A M 1983 Phys. Rep. 94 313 Rühl W and Turbiner A 1995 Mod. Phys. Lett. A 10 2213 Turbiner A 1998 Mod. Phys. Lett. A 13 1473 Brink L, Turbiner A and Wyllard N 1998 J. Math. Phys. 39 1285
14. Olshanetsky M A and Perelomov A M 1983 Phys. Rep. 94 313 Rühl W and Turbiner A 1995 Mod. Phys. Lett. A 10 2213 Turbiner A 1998 Mod. Phys. Lett. A 13 1473 Brink L, Turbiner A and Wyllard N 1998 J. Math. Phys. 39 1285
15. Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201 Bender C M, Cooper F, Meisinger P N and Savage Van M 1999 Phys. Lett. A 259 224
16. Bender C M, Boettcher S and Meisinger P N 1999 J. Math. Phys. 40 2201 Bender C M, Cooper F, Meisinger P N and Savage Van M 1999 Phys. Lett. A 259 224
17. Znojil M 1999 Phys. Lett. A 259 220
18. Flügge S 1971 Practical Quantum Mechanics vol 1 (Berlin: Springer) p 68
19. Reed M and Simon B 1978 Methods of Modern Mathematical Physics vol 4 (New York: Academic)
20. Znojil M 2000 Phys. Rev. A 61 066101 (Znojil M 1998 Preprint arXiv: quant-ph/9811088)
21. Landau L D and Lifshitz E M 1960 Quantum Mechanics (London: Pergamon) p 35 chapter 5
22. Frank W M, Land D J and Spector R M 1971 Rev. Mod. Phys. 43 36
23. Bender C M and Boettcher S 1998 Phys. Rev. Lett. 24 5243
24. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Bender C M and Boettcher S 1998 J. Phys. A: Math. Gen. 31 L273 Fernández F M, Guardiola R, Ros J and Znojil M 1999 J. Phys. A: Math. Gen. 32 3105
25. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Bender C M and Boettcher S 1998 J. Phys. A: Math. Gen. 31 L273 Fernández F M, Guardiola R, Ros J and Znojil M 1999 J. Phys. A: Math. Gen. 32 3105
26. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Bender C M and Boettcher S 1998 J. Phys. A: Math. Gen. 31 L273 Fernández F M, Guardiola R, Ros J and Znojil M 1999 J. Phys. A: Math. Gen. 32 3105
27. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Bender C M and Boettcher S 1998 J. Phys. A: Math. Gen. 31 L273 Fernández F M, Guardiola R, Ros J and Znojil M 1999 J. Phys. A: Math. Gen. 32 3105
28. Caliceti E, Graffi S and Maioli M 1980 Commun. Math. Phys. 75 51 Alvarez G 1995 J. Phys. A: Math. Gen. 27 4589 Cannata F, Junker G and Trost J 1998 Phys. Lett. A 246 219 Bender C M and Boettcher S 1998 J. Phys. A: Math. Gen. 31 L273 Fernández F M, Guardiola R, Ros J and Znojil M 1999 J. Phys. A: Math. Gen. 32 3105
29. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Delabaere E and Pham F 1998 Phys. Lett. A 250 29 Mezincescu G A 2000 J. Phys. A: Math. Gen. 33 4911
30. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Delabaere E and Pham F 1998 Phys. Lett. A 250 29 Mezincescu G A 2000 J. Phys. A: Math. Gen. 33 4911
31. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Delabaere E and Pham F 1998 Phys. Lett. A 250 29 Mezincescu G A 2000 J. Phys. A: Math. Gen. 33 4911
32. Bender C M and Milton K A 1997 Phys. Rev. D 55 R3255 Delabaere E and Pham F 1998 Phys. Lett. A 250 25 Delabaere E and Pham F 1998 Phys. Lett. A 250 29 Mezincescu G A 2000 J. Phys. A: Math. Gen. 33 4911
33. Buslaev V and Grechi V 1993 J. Phys. A: Math. Gen. 26 5541
34. Bessis D 1992 Private communication Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Bender C M, Boettcher S, Jones H F and Van Savage M 1999 J. Phys. A: Math. Gen. 32 6771 Lévai G and Znojil M 2000 J. Phys. A: Math. Gen. 33 7165
35. Bessis D 1992 Private communication Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Bender C M, Boettcher S, Jones H F and Van Savage M 1999 J. Phys. A: Math. Gen. 32 6771 Lévai G and Znojil M 2000 J. Phys. A: Math. Gen. 33 7165
36. Bessis D 1992 Private communication Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Bender C M, Boettcher S, Jones H F and Van Savage M 1999 J. Phys. A: Math. Gen. 32 6771 Lévai G and Znojil M 2000 J. Phys. A: Math. Gen. 33 7165
37. Bessis D 1992 Private communication Fernández F M, Guardiola R, Ros J and Znojil M 1998 J. Phys. A: Math. Gen. 31 10105 Bender C M, Boettcher S, Jones H F and Van Savage M 1999 J. Phys. A: Math. Gen. 32 6771 Lévai G and Znojil M 2000 J. Phys. A: Math. Gen. 33 7165
38. Bender C M and Turbiner A V 1993 Phys. Lett. A 173 442 Znojil M 2000 20th Winter School on Geometry and Physics: a short review Rend. Circ. Mat. Pal. (Suppl.) at press Herbst I 2000 Private communication during and after the Prague Quantum Spring School
39. Bender C M and Turbiner A V 1993 Phys. Lett. A 173 442 Znojil M 2000 20th Winter School on Geometry and Physics: a short review Rend. Circ. Mat. Pal. (Suppl.) at press Herbst I 2000 Private communication during and after the Prague Quantum Spring School
40. Bender C M and Turbiner A V 1993 Phys. Lett. A 173 442 Znojil M 2000 20th Winter School on Geometry and Physics: a short review Rend. Circ. Mat. Pal. (Suppl.) at press Herbst I 2000 Private communication during and after the Prague Quantum Spring School
41. Znojil M 2000 J. Phys. A: Math. Gen. 33 4203
42. Znojil M 2000 J. Phys. A: Math. Gen. 33 4561 Znojil M and Levai G 2000 Phys. Lett. A 271 327 (Znojil M and Levai G 2000 Preprint arXiv: quant-ph/0003081) Znojil M 2000 DI/CRM International Workshop Czech. J. Phys. at press
43. Znojil M 2000 J. Phys. A: Math. Gen. 33 4561 Znojil M and Levai G 2000 Phys. Lett. A 271 327 (Znojil M and Levai G 2000 Preprint arXiv: quant-ph/0003081) Znojil M 2000 DI/CRM International Workshop Czech. J. Phys. at press
44. Znojil M 2000 J. Phys. A: Math. Gen. 33 4561 Znojil M and Levai G 2000 Phys. Lett. A 271 327 (Znojil M and Levai G 2000 Preprint arXiv: quant-ph/0003081) Znojil M 2000 DI/CRM International Workshop Czech. J. Phys. at press