THE YANG-BAXTER EQUATIONS AND DIFFERENTIAL IDENTITIES

被引：0
|
作者：
PU, FC [1 ]
SATTINGER, DH [1 ]
机构：
[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1990年 / 31卷 / 01期
关键词：
D O I：
10.1063/1.528869
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The solution of the Yang-Baxter equation for integrable systems is shown to be equivalent to the existence of a differential identity. Quantum integration formulas for the calculation of commutators of monodromy matrices are given. Based on the integration formulas and the systematic use of differential identities, the Yang-Baxter equations for the nonlinear Schrödinger model for the quantum case of both bosons and fermions are derived. The case for discrete models is also included. The parallelism between the classical and quantum case and the classical limiting process from the latter to the former are discussed. © 1989 American Institute of Physics.
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页码：118 / 126
页数：9
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