Quantum many-body systems with nearest and next-to-nearest neighbor long-range interactions

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 12, 2005, Pages

  Ezung, Meripeni ^a   Gurappa, N ^b   Khare, Avinash ^c   Panigrahi, Prasanta K ^d  

^a UNIVERSITY OF HYDERABAD   (India)

^b UNIVERSITÉ PARIS SUD   (France)

^c INSTITUTE OF PHYSICS   (India)

^d PHYSICAL RESEARCH LABORATORY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR INTERACTION; OSCILLATOR; QUANTUM MECHANICS;

EID: 20044394999     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.125121     Document Type: Article

References (62)

1. F. Calogero, J. Math. Phys. 12, 419 (1971).
2. B. Sutherland, J. Math. Phys. 12, 246 (1971).
3. B. Sutherland, J. Math. Phys. 12, 251 (1971).
4. B. Sutherland, Phys. Rev. A 4, 2019 (1971);
5. B. Sutherland, Phys. Rev. A 5, 1372 (1972).
6. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 71, 314 (1981);
7. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 94, 6 (1983).
8. B. D. Simons, P. A. Lee, and B. L. Altshuler, Phys. Rev. Lett. 72, 64 (1994), and references therein.
9. Calogero-Moser-Sutherland Models, edited by J. F. Van Diejen and L. Vinet, CRM Series in Mathematical Physics (Springer, New York, 2000).
10. A. P. Polychronakos, Les Houches Session LXIX (1998), Springer Ed., hep-th/9902157.
11. E. D'Hoker and D. H. Phong, Lectures on Supersymmetric Yang-Mills Theory and Integrable Systems, hep-th/9912271.
12. A. J. Bordner, E. Corrigan, and R. Sasaki, Prog. Theor. Phys. 102, 499 (1999).
13. P. K. Panigrahi and M. Sivakumar, Phys. Rev. B 52, 13 742 (1995).
14. N. Kawakami, Phys. Rev. Lett. 71, 275 (1993).
15. H. Azuma and S. Iso, Phys. Lett. B 331, 107 (1994).
16. K. Nakamura and M. Lakshmanan, Phys. Rev. Lett. 57, 1661 (1986).
17. F. J. Dyson, J. Math. Phys. 3, 140, 157, 166 (1962).
18. F. J. Dyson, J. Math. Phys. 19, 235 (1970).
19. M. L. Mehta, Random Matrices, Revised Edition (Academic, New York, 1990).
20. O. Bohigas, M. J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
21. V. K. B. Kota, Phys. Rep. 347, 223 (2001), and references therein.
22. H. D. Parab and S. R. Jain, J. Phys. A 29, 3903 (1996).
23. A. N. Zemlyakov and A. B. Katok, Math. Notes 18, 760 (1976);
24. P. J. Richens and M. V. Berry, Physica D 2, 495 (1981);
25. S. R. Jain and H. D. Parab, J. Phys. A 25, 6669 (1992);
26. S. R. Jain and S. V. Lawande, Proc. Indian Natl. Sc. Acad. 61A, 275 (1995).
27. G. Date, S. R. Jain, and M. V. N. Murthy, Phys. Rev. E 51, 198 (1995).
28. T. Guhr, A. Müller-Groeling, and H. A. Weidenmüller, Phys. Rep. 299, 189 (1998).
29. B. Grémand and S. R. Jain, J. Phys. A 31, L637 (1998);
30. E. Bogomolny, U. Gerland, and C. Schmit, Phys. Rev. E 59, R1315 (1999).
31. S. R. Jain and A. Khare, Phys. Lett. A 262, 35 (1999).
32. G. Auberson, S. R. Jain, and A. Khare, J. Phys. A 34, 695 (2001).
33. G. Auberson, S. R. Jain, and A. Khare, Phys. Lett. A 267, 293 (2000).
34. S. R. Jain, B. Gremaud, and A. Khare, Phys. Rev. E 66, 016 216 (2002).
35. M. Vasiliev, Int. J. Mod. Phys. A 6, 1115 (1991);
36. A. P. Polychronakos, Phys. Rev. Lett. 69, 703 (1992).
37. K. Hikami and M. Wadati, J. Phys. Soc. Jpn. 62, 4203 (1993);
38. H. Ujino and M. Wadati, J. Phys. Soc. Jpn. ibid. 63, 3585 (1994).
39. N. Gurappa and P. K. Panigrahi, Phys. Rev. B 59, R2490 (1999).
40. T. Brezinski, C. Gonera, and P. Maslanka, Phys. Lett. A 254, 185 (1999).
41. N. Gurappa and P. K. Panigrahi, Phys. Rev. B 67, 155 323 (2003).
42. L. Lapointe and L. Vinet, Commun. Math. Phys. 178, 425 (1996);
43. H. Ujino and M. Wadati, J. Phys. Soc. Jpn. 65, 653 (1996);
44. H. Ujino and M. Wadati, J. Phys. Soc. Jpn. 65, 2423 (1996).
45. N. Gurappa and P. K. Panigrahi, Phys. Rev. B 62, 1943 (2000).
46. N. Gurappa, P. S. Mohanty, and P. K. Panigrahi, Phys. Rev. A 61, 034 703 (2000).
47. K. Vacek, A. Okiji, and N. Kawakami, J. Phys. A 29, L201 (1994);
48. N. Gurappa and P. K. Panigrahi, Mod. Phys. Lett. A 11, 891 (1996).
49. N. Gurappa, A. Khare, and P. K. Panigrahi, Phys. Lett. A 224, 467 (1998).
50. I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd ed. (Clarendon, Oxford, 1995).
51. F. Knop and S. Sahi, Invent. Math. 128, 9 (1997).
52. L. Lapointe and L. Vinet, Commun. Math. Phys. 178, 425 (1996);
53. H. Ujino and M. Wadati, J. Phys. Soc. Jpn. 65, 653 (1996);
54. H. Ujino and M. Wadati, J. Phys. Soc. Jpn. 65, 2423 (1996).
55. P. Shanta, S. Chaturvedi, V. Srinivasan, G. S. Agarwal, and C. L. Mehta, Phys. Rev. Lett. 72, 1447 (1994).
56. N. Gurappa, P. K. Panigrahi, and V. Srinivasan, Mod. Phys. Lett. A 13, 339 (1998).
57. V. Sunil Kumar, B. A. Bambah, R. Jagannathan, P. K. Panigrahi, and V. Srinivasan, J. Opt. B: Quantum Semiclassical Opt. 2, 126 (2000).
58. A. M. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986).
59. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, New York, 1965).
60. T. Brzezinski, C. Gonera, and P. Maślanka, Phys. Lett. A 254, 185 (1999).
61. D. Serban, J. Phys. A 30, 4215 (1997).
62. N. Ohta, J. Phys. Soc. Jpn. 65, 3763 (1996).