On a second Lax structure for the Calogero-Moser system:: time-dependent constants and superintegrability

被引：3
|
作者：
Rañada, MF [1 ]
机构：
[1] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain
来源：
PHYSICS LETTERS A | 2000年 / 277卷 / 4-5期
关键词：
Lax equations; Calogero-Moser system; integrability; superintegrable systems; non-linear constants of motion; time-dependent constants of motion;
D O I：
10.1016/S0375-9601(00)00629-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A two-parameter Lax representation for the Calogero-Moser system is studied. The associated Lax equation is a time-dependent equation that includes, as a particular case, the standard Lax representation. The corresponding integrals of motion extend, and also include as a particular case, the classical expressions of the integrals of motion obtained by Moser. Finally the relation of this two-parameter Lax representation with the superintegrability of the Calogero-Moser system is discussed. (C) 2000 Elsevier Science B.V. All rights reserved. AMS classification: 37J35; 70H06.
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页码：219 / 222
页数：4
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