Unified algebraic approach to few- and many-body correlated systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 15, 2003, Pages

  Gurappa, N ^a   Panigrahi, Prasanta K ^a  

^a UNIVERSITY OF HYDERABAD   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURACY; ARTICLE; CALCULATION; CORRELATION COEFFICIENT; MATHEMATICAL MODEL; MOLECULAR INTERACTION; OSCILLATOR; PARTICULATE MATTER; SPECTRUM; SYSTEM ANALYSIS; TECHNIQUE;

EID: 0038518144     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.155323     Document Type: Article

References (112)

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. Phys. Rev. AB. Sutherland5, 1372 (1972).
6. S. Tewari, Phys. Rev. B 46, 7782 (1992).
7. N.F. Johnson and M.C. Payne, Phys. Rev. Lett. 70, 1513 (1993);
8. Phys. Rev. Lett.N.F. JohnsonM.C. Payne70, 3523 (1993).
9. M. Caselle, Phys. Rev. Lett. 74, 2776 (1995).
10. N. Kawakami, Phys. Rev. Lett. 71, 275 (1993).
11. H. Azuma and S. Iso, Phys. Lett. B 331, 107 (1994).
12. P.K. Panigrahi and M. Sivakumar, Phys. Rev. B 52, 13 742 (1995).
13. H.H. Chen, Y.C. Lee, and N.R. Pereira, Phys. Fluids 22, 187 (1979).
14. F.J. Dyson, J. Math. Phys. 3, 140 (1962);
15. J. Math. Phys.F.J. Dyson3, 157 (1962);
16. J. Math. Phys.F.J. Dyson3, 166 (1962).
17. F.J. Dyson, J. Math. Phys. 19, 235 (1970).
18. B.L. Altshuler, I.K. Zharekeshev, S.A. Kotochigova, and B.I. Shklovskii, Sov. Phys. JETP 67, 625 (1988).
19. M. L. Mehta, Random Matrices (Academic Press, New York, 1990).
20. M. Ndawana, R.A. Romer, and M. Schreiber, Eur. Phys. J. B 27, 399 (2002).
21. K. Nakamura and M. Lakshmanan, Phys. Rev. Lett. 57, 1661 (1986).
22. B.D. Simons, P.A. Lee, and B.L. Altshuler, Phys. Rev. Lett. 72, 64 (1994), and references therein.
23. J.M. Leinaas and J. Myrheim, Phys. Rev. B 37, 9286 (1988).
24. F.D.M. Haldane, Phys. Rev. Lett. 67, 937 (1988).
25. A.P. Polychronakos, Nucl. Phys. B 324, 597 (1989).
26. M.V.N. Murthy and R. Shankar, Phys. Rev. Lett. 73, 3331 (1994).
27. Z.N.C. Ha, Phys. Rev. Lett. 73, 1574 (1994).
28. I. Andric, A. Jevicki, and H. Levine, Nucl. Phys. B 312, 307 (1983).
29. A. Jevicki, Nucl. Phys. B 376, 75 (1992).
30. G.W. Gibbons and P.K. Townsend, Phys. Lett. B 454, 187 (1999).
31. A. Lerda, in Anyons, edited by H. Araki et al., Lecture Notes in Physics (Springer-Verlag, Berlin Heidelberg, 1992), and references therein.
32. S.B. Fsakov, G. Lozano, and S. Ouvry, hep-th/9902028 (unpublished).
33. S. Ouvry, cond-mat/9907239 (unpublished).
34. J.A. Minahan and A.P. Polychronakos, Phys. Lett. B 312, 155 (1993);
35. Phys. Lett. BJ.A. MinahanA.P. Polychronakos336, 288 (1994).
36. E. D’Hoker and D.H. Phong, Nucl. Phys. B 513, 405 (1998).
37. Calogero-Moser-Sutherland models, edited by J. F. Van Diejen and L. Vinet, CRM Series in Mathematical Physics (Springer, New York, 2000).
38. M. Olshanetsky and A. Perelomov, Phys. Rep. 71, 314 (1981);
39. Phys. Rep.M. OlshanetskyA. Perelomov94, 6 (1983).
40. A. P. Polychronakos, in Topological Aspects of Low-Dimensional Systems, Proceedings of the Les Houches session LXIX Summer school (Springer, New York, 1998).
41. E. D’Hoker and D.H. Phong, hep-th/9912271 (unpublished).
42. A.J. Bordner, E. Corrigan, and R. Sasaki, Prog. Theor. Phys. 102, 499 (1999).
43. J. Dukelsky, C. Esebbag, and P. Schuck, Phys. Rev. Lett. 87, 066403 (2001).
44. F. Iachello, Phys. Rev. Lett. 85, 3580 (2000).
45. S. Corley, J. High Energy Phys. 9909, 187 (1999);
46. D. Birmingham, K.S. Gupta, and S. Sen, Phys. Lett. B 505, 191 (2001).
47. M. Vasiliev, Int. J. Mod. Phys. A 6, 1115 (1991).
48. A.P. Polychronakos, Phys. Rev. Lett. 69, 703 (1992).
49. K. Hikami, J. Phys. A 28, L131 (1995).
50. V.B. Kuznetsov, Phys. Lett. A 218, 212 (1996).
51. J. de Boer, F. Harmsze, and T. Tjin, Phys. Rep. 272, 139 (1996), and references therein.
52. V. Bardek, L. Jonke, S. Meljanac, and M. Melekovic, hep-th/0107053, Phys. Lett. B (to be published).
53. V. Bardek and S. Meljanac, Eur. Phys. J. C 17, 539 (2000).
54. F. Calogero, J. Math. Phys. 10, 2191 (1969).
55. N. Gurappa and P.K. Panigrahi, Phys. Rev. B 59, R2490 (1999).
56. H. Ujino, A. Nishino, and M. Wadati, J. Phys. Soc. Jpn. 67, 2658 (1998);
57. H. UjinoA. NishinoM. WadatiPhys. Lett. A 249, 459 (1998).
58. P.K. Ghosh, Nucl. Phys. B 595, 519 (2001).
59. A. Punnoose and R.A. Romer, J. Phys. A 29, 1651 (1996), and references therein.
60. T. Brzezinski, C. Gonera, and P. Maslanka, Phys. Lett. A 254, 185 (1999).
61. B. Basu-Mallik, H. Ujino, and M. Wadati, J. Phys. Soc. Jpn. 68, 3219 (1999).
62. A.J. Bordner, N.S. Manton, and R. Sasaki, hep-th/9910033 (unpublished).
63. T.D. Deguchi and P.K. Ghosh, hep-th/0012058 (unpublished).
64. S.R. Jain and A. Khare, Phys. Lett. A 262, 35 (1999).
65. G. Auberson, S. R. Jain, and A. Khare, cond-mat/9912445, Phys. Lett. A (to be published).
66. G. Auberson, S. R. Jain, and A. Khare, cond-mat/0004012(unpublished); J. Phys. A (to be published).
67. M. Ezung, N. Gurappa, A. Khare, and P.K. Panigrahi, cond-mat/0007005 (unpublished).
68. B. Basu-Mallick and A. Kundu, Phys. Rev. B 62, 9927 (2000).
69. N. Gurappa, P. K. Panigrahi, T. Shreecharan, and S. Sree Ranjani, Frontiers of Fundamental Physics edited by Sidharth and Altaisky, (Kluwer Academic, New York, 2001).
70. N. Gurappa, P.K. Panigrahi, and T. Shreecharan, math-ph/0203015 (unpublished).
71. O. Haschke and W. Rühl, Report No. KL-TH 98/9 (unpublished);
72. O. Haschke and W. Rühl hep-th/9807194 (unpublished).
73. M. Stone, Quantum Hall Effect (World Scientific, Singapore, 1992), and references therein.
74. J.K. Jain, Phys. Rev. Lett. 63, 199 (1984);
75. Phys. Rev. Lett.V.J. Goldman, B. Su, and J.K. Jain, 72, 2065 (1994).
76. K. Sogo, J. Phys. Soc. Jpn. 65, 3097 (1996).
77. I. G. Macdonald, Symmetric Functions and Hall Polynomials, 2nd ed. (Clarendon press, Oxford, 1995).
78. A. T. James in Theory and Applications of Special Functions, edited by R. A. Askey (Academic Press, New York, 1975);R. J. Muirhead, Aspects of Multivariate Statistical Thory (Wiley, New York, 1982).
79. S.R. Das, A. Dhar, G. Mandal, and S.R. Wadia, Int. J. Mod. Phys. A 7, 5165 (1992);
80. A. Cappelli, C.A. Trugenberger, and G.R. Zemba, Nucl. Phys. B 396, 465 (1993).
81. T.H. Baker and P.J. Forrester, solv-int/9608004 (unpublished);
82. T.H. BakerP.J. Forrestersolv-int/9609010 (unpublished);
83. T.H. BakerP.J. ForresterNucl. Phys. B 492, 682 (1997).
84. M.A. Olshanetsky and A.M. Perelomov, Lett. Math. Phys. 2, 7 (1977).
85. I. Cherednik, Adv. Math. 106, 65 (1994).
86. T. Yamamoto, J. Phys. Soc. Jpn. 63, 1212 (1994).
87. J.F. van Diejen, Compos. Math. 95, 183 (1995).
88. N. Gurappa, A. Khare, and P.K. Panigrahi, Phys. Lett. A 224, 467 (1998).
89. P.K. Ghosh, Phys. Lett. A 229, 203 (1997).
90. R.K. Ghosh and S. Rao, Phys. Lett. A 238, 213 (1998).
91. H. Jack, Physica (The Hague) 69, 1 (1970);
92. Physica (The Hague)H. Jack69, 347 (1972).
93. R.P. Stanley, Adv. Math. 77, 76 (1988).
94. S. Chaturvedi, in Special Functions and Differential Equations, edited by K. S. Rao, R. Jagannathan, G. V. Berghe, and J. V. Jeugt (Allied, New Delhi, 1997).
95. L. Lapointe and L. Vinet, Commun. Math. Phys. 178, 425 (1996).
96. W. Garcia Fuertes, M. Lorente, and A.M. Perelomov, J. Phys. A 34, 10963 (2001).
97. A. Veselov, M. Feigin and O. Chalykh, Commun. Math. Phys. 206, 533 (1999).
98. A. Sergeev, J. Nonlin. Math. Phys.8, 59 (2001).
99. N. Gurappa and P.K. Panigrahi, Phys. Rev. B 62, 1943 (2000).
100. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
101. A. Cappelli, C.A. Trugenberger, and G.R. Zemba, Nucl. Phys. B 396, 465 (1993);
102. A. CappelliC.A. TrugenbergerG.R. ZembaPhys. Rev. B 306, 100 (1993).
103. H. Awata, Y. Matsuo, S. Odke, and J. Shiraishi Phys. Lett. B 347, 49 (1994);
104. H. AwataY. MatsuoS. OdkeJ. ShiraishiNucl. Phys. B 449, 347 (1995).
105. N. Kawakami and S.-K. Yang, Phys. Rev. Lett. 67, 2493 (1991).
106. M. Fran, S. Sciuto, A. Lerda, and G.R. Zemba, Int. J. Mod. Phys. A 12, 4611 (1997).
107. M. Cadoni, P. Carta, and D. Klemm, Phys. Lett. B 503, 205 (2001).
108. G.S. Agarwal and S. Chaturvedi, J. Phys. A 28, 5747 (1995).
109. T. Guhr, A. Müller-Groeling, and H.A. Weidenmüller, Phys. Rep. 299, 189 (1998).
110. A.P. Polychronakos, Phys. Rev. Lett. 89, 126403 (2002).
111. D. Bigatti and L. Susskind, Phys. Rev. D 62, 066004 (2000).
112. L. Susskind, hep-th/0101029 (unpublished).