AN ALGEBRAIC APPROACH TO SOLVING EVOLUTION PROBLEMS IN SOME NONLINEAR QUANTUM MODELS

被引：42

作者：

KARASSIOV, VP ^{[1
]}

KLIMOV, AB ^{[1
]}

机构：

[1] PN LEBEDEV PHYS INST,MOSCOW 117924,RUSSIA

来源：

PHYSICS LETTERS A | 1994年 / 189卷 / 1-2期

关键词：

D O I：

10.1016/0375-9601(94)90816-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new general Lie-algebraic approach is proposed to solve evolution problems in some nonlinear models of quantum physics with polynomially deformed Lie algebras su(pd)(2) as their dynamic symmetry algebras. The method makes use of an expansion of the evolution operators by power series in the su(pd)(2) shift operators and a (recursive) reduction of finding coefficient functions to solve auxiliary exactly solvable su(2) problems with quadratic Hamiltonians.

引用

页码：43 / 51

页数：9

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