ON THE QUANTUM KP HIERARCHY AND ITS RELATION TO THE NONLINEAR SCHRODINGER-EQUATION

被引：11

作者：

FREEMAN, MD

WEST, P

机构：

[1] Department of Mathematics, King's College, Strand, London

来源：

PHYSICS LETTERS B | 1992年 / 295卷 / 1-2期

关键词：

D O I：

10.1016/0370-2693(92)90089-M

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We establish a relation between the classical non-linear Schrodinger equation and the KP hierarchy, and we extend this relation to the quantum case by defining a quantum KP hierarchy. We also present evidence that an integrable hierarchy of equations is obtained by quantizing the first hamiltonian structure of the KdV equation. The connection between infinite-dimensional algebras and integrable models is discussed.

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页码：59 / 66

页数：8

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