Calogero-Moser models with noncommutative spin interactions

被引：15

作者：

Polychronakos, AP ^{[1
]}

机构：

[1] Rockefeller Univ, Dept Phys, New York, NY 10021 USA

[2] Univ Ioannina, Dept Phys, GR-45110 Ioannina, Greece

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.89.126403

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct integrable generalizations of the elliptic Calogero-Sutherland-Moser model of particles with spin, involving noncommutative spin interactions. The spin coupling potential is a modular function and, generically, breaks the global spin symmetry of the model down to a product of U(1) phase symmetries. Previously known models are recovered as special cases.

引用

页数：4

共 47 条

[1] M theory as a matrix model: A conjecture
Banks, T
Fischler, W
Shenker, SH
Susskind, L
[J]. PHYSICAL REVIEW D, 1997, 55 (08): : 5112 - 5128
[2] Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos model
Basu-Mallick, B
Ujino, H
Wadati, M
[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (10) : 3219 - 3226
[3] Novel integrable spin-particle models from gauge theories on a cylinder
Blom, J
Langmann, E
[J]. PHYSICS LETTERS B, 1998, 429 (3-4) : 336 - 342
[4] Generalised Calogero-Moser models and universal Lax pair operators
Bordner, AJ
Corrigan, E
Sasaki, R
[J]. PROGRESS OF THEORETICAL PHYSICS, 1999, 102 (03): : 499 - 529
[5] EXACTLY SOLVABLE ONE-DIMENSIONAL MANY-BODY PROBLEMS
CALOGERO, F
[J]. LETTERE AL NUOVO CIMENTO, 1975, 13 (11): : 411 - 416
[6] SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION
CALOGERO, F
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) : 2191 - &
[7] GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM
CALOGERO, F
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) : 2197 - &
[8] SOLUTION OF ONE-DIMENSIONAL N-BODY PROBLEMS WITH QUADRATIC AND/OR INVERSELY QUADRATIC PAIR POTENTIALS
CALOGERO, F
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (03) : 419 - &
[9] EXACT SOLUTION OF CLASSICAL AND QUANTAL ONE-DIMENSIONAL MANY-BODY PROBLEMS WITH 2-BODY POTENTIAL VA(X)=G2A2-SINH2(AX)
CALOGERO, P
RAGNISCO, O
[J]. LETTERE AL NUOVO CIMENTO, 1975, 13 (10): : 383 - 387
[10] Connes A, 1998, J HIGH ENERGY PHYS

← 1 2 3 4 5 →