On the Hamiltonian structure of the spin Ruijs']jsenaars-Schneider model

被引:14
作者
Arutyunov, GE [1 ]
Frolov, SA [1 ]
机构
[1] VA Steklov Math Inst, Moscow 117966, Russia
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 18期
关键词
D O I
10.1088/0305-4470/31/18/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Hamiltonian structure of the spin generalization of the rational Ruijsenaars-Schneider model is found by using the Hamiltonian reduction technique. It is shown that the model possesses current algebra symmetry. The possibility of generalizing the obtained Poisson structure to the trigonometric case is discussed and degeneration to the Euler-Calogero-Moser system is examined.
引用
收藏
页码:4203 / 4216
页数:14
相关论文
共 27 条
[1]   Generating equation for r-matrices related to dynamical systems of Calogero type [J].
Arutyunov, GE ;
Medvedev, PB .
PHYSICS LETTERS A, 1996, 223 (1-2) :66-74
[2]   Elliptic Ruijs']jsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double [J].
Arutyunov, GE ;
Frolov, SA ;
Medvedev, PB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (14) :5051-5063
[3]   Elliptic Ruijs']jsenaars-Schneider model from the cotangent bundle over the two-dimensional current group [J].
Arutyunov, GE ;
Frolov, SA ;
Medvedev, PB .
JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (11) :5682-5689
[4]  
ARUTYUNOV GE, IN PRESS COMMUN MATH
[5]  
Avan J., 1994, Alg. Anal, V6, P67
[6]   YANG-BAXTER EQUATION IN LONG-RANGE INTERACTING SYSTEMS [J].
BERNARD, D ;
GAUDIN, M ;
HALDANE, FDM ;
PASQUIER, V .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (20) :5219-5236
[7]   EXACT YANGIAN SYMMETRY IN THE CLASSICAL EULER-CALOGERO-MOSER MODEL [J].
BILLEY, E ;
AVAN, J ;
BABELON, O .
PHYSICS LETTERS A, 1994, 188 (03) :263-271
[8]   R-MATRICES FOR ELLIPTIC CALOGERO-MOSER MODELS [J].
BRADEN, HW ;
SUZUKI, T .
LETTERS IN MATHEMATICAL PHYSICS, 1994, 30 (02) :147-158
[9]   Affine Toda solitons and systems of Calogero-Moser type [J].
Braden, HW ;
Hone, ANW .
PHYSICS LETTERS B, 1996, 380 (3-4) :296-302
[10]  
Felder G., 1994, P INT C MATH ZUR, P1247