(Super) oscillator on CPN and a constant magnetic field

Physical Review D

Volumn 67, Issue 6, 2003, Pages

  Bellucci, Stefano ^a   Nersessian, Armen ^b,c  

^a INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^b YEREVAN STATE UNIVERSITY   (Armenia)

^c YEREVAN PHYSICS INSTITUTE   (Armenia)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; OSCILLATION; PHASE TRANSITION; QUALITATIVE ANALYSIS; THEORETICAL MODEL;

EID: 0037732559     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.67.065013     Document Type: Article

References (50)

1. A. M. Perelomov, Integrable Systems of Classical Mechanics and Lie Algebras (Birkhäuser, Boston, 1990).
2. T. Levi-Civita, Opere Mathematiche 2, 411 (1906);
3. P. Kustaanheimo, E. Stiefel, and J. Reine, Angew Math. 218, 204 (1965);
4. A. Hurwitz, Mathematische Werke (Birkhäuser, Basel, 1933), Band II, p. 641.
5. C. N. Yang, J. Math. Phys. 19, 320 (1978).
6. A. Nersessian, V. Ter-Antonian, and M. M. Tsulaia, Mod. Phys. Lett. A 11, 1605 (1996);
7. A. Nersessian and V. M. Ter-Antonian, Phys. At. Nucl. 61, 1756 (1998).
8. D. Zwanziger, Phys. Rev. 176, 1480 (1968);
9. H. V. McIntosh and A. Cisneros, J. Math. Phys. 11, 896 (1970);
10. T. Iwai and Y. Uwano, J. Math. Phys. ibid. 27, 1523 (1986);
11. A. Nersessian and V. TerAntonian, Mod. Phys. Lett. A 9, 2431 (1994);
12. A. Nersessian and V. TerAntonian, Mod. Phys. Lett. A 10, 2633 (1995).
13. T. Iwai, J. Geom. Phys. 7, 507 (1990);
14. L. G. Mardoyan, A. N. Sissakian, and V. M. Ter-Antonyan, Phys. At. Nucl. 61, 1746 (1998).
15. G. W. Gibbons and N. S. Manton, Nucl. Phys. B274, 183 (1986).
16. L. G. Feher and P. A. Horvathy, Phys. Lett. B 182, 183 (1987);
17. B. Cordani, L. G. Feher, and P. A. Horvathy, Phys. Lett. B ibid. 201, 481 (1988);
18. J. Math. Phys. 31, 202 (1990).
19. S. C. Zhang and J. P. Hu, Science 294, 823 (2001).
20. D. Karabali and V. P. Nair, Nucl. Phys. B641, 533 (2002).
21. B. A. Bernevig, C. H. Chern, J. P. Hu, N. Toumbas, and S. C. Zhang, Ann. Phys. (N.Y.) 300, 185 (2002).
22. F. Cooper, A. Khare, and U. Sukhatme, Phys. Rep. 251, 267 (1995).
23. R. de Lima Rodrigues, "The quantum mechanics SUSY alge bra: An introductory review," hep-th/0205017.
24. A. Connes, M. R. Douglas, and A. Schwarz, J. High Energy Phys. 02, 003 (1998);
25. N. Seiberg and E. Witten, J. High Energy Phys. ibid. 09, 032 (1999).
26. M. Chaichian, M. M. Sheikh-Jabbari, and A. Tureanu, Phys. Rev. Lett. 86, 2716 (2001);
27. J. Gamboa, M. Loewe, and J. C. Rojas, Phys. Rev. D 64, 067901 (2001);
28. B. Morariu and A. P. Polychronakos, Nucl. Phys. B610, 531 (2001);
29. R. Iengo and R. Ramachandran, J. High Energy Phys. 02, 017 (2002);
30. P. M. Ho and H. C. Kao, Phys. Rev. Lett. 88, 151602 (2002);
31. S. Bellucci and A. Nersessian, Phys. Lett. B 542, 295 (2002);
32. P. A. Horvathy, Ann. Phys. (N.Y.) 299, 128 (2002);
33. A. A. Deriglazov, Phys. Lett. B 530, 235 (2002);
34. A. A. Deriglazov, Phys. Lett. B 555, 83 (2003).
35. V. P. Nair and A. P. Polychronakos, Phys. Lett. B 505, 267 (2001);
36. S. Bellucci, A. Nersessian, and C. Sochichiu, Phys. Lett. B ibid. 522, 345 (2001);
37. C. Duval and P. A. Horvathy, J. Phys. A 34, 10 097 (2001);
38. A. Smailagic and E. Spallucci, Phys. Rev. D 65, 107701 (2002);
39. R. Banerjee, Mod. Phys. Lett. A 17, 631 (2002).
40. P. W. Higgs, J. Phys. A 12, 309 (1979);
41. H. I. Leemon, J. Phys. A ibid. 12, 489 (1979).
42. A. Nersessian and G. Pogosyan, Phys. Rev. A 63, 020103(R) (2001);
43. A. Nersessian, Phys. At. Nucl. 65, 1070 (2002).
44. E. Schrödinger, Proc. R. Ir. Acad., Sect. A 46, 9 (1941);
45. E. Schrödinger, Proc. R. Ir. Acad., Sect. A 46, 183 (1941);
46. E. Schrödinger, Proc. R. Ir. Acad., Sect. A 47, 53 (1941).
47. E. G. Kalnins, W. Miller, and G. S. Pogosyan, J. Math. Phys. 41, 2629 (2000);
48. Phys. At. Nucl. 65, 1086 (2002).
49. S. Bellucci and A. Nersessian, Phys. Rev. D 64, 021702(R) (2001);
50. Nucl. Phys. B (Proc. Suppl.) 102, 227 (2001).