ALTERNATIVE LAX STRUCTURES FOR THE CLASSICAL AND QUANTUM NEUMANN MODEL

被引：13

作者：

AVAN, J ^{[1
]}

TALON, M ^{[1
]}

机构：

[1] UNIV PARIS 06,PHYS THEOR & HAUTES ENERGIES LAB,F-75252 PARIS,FRANCE

来源：

PHYSICS LETTERS B | 1991年 / 268卷 / 02期

关键词：

D O I：

10.1016/0370-2693(91)90805-Z

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A Lax representation by sl(2, C) matrices, following from the geometrical formulation of Moser,is introduced for the Neumann model. Its Poisson bracket structure is given by the rational antisymmetric sl(2, C) R-matrix. The quantum version of its determinant, suitably ordered, gives rise to commuting operators, exact counterparts of the classical Uhlenbeck conserved quantities.

引用

页码：209 / 216

页数：8

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