QUANTUM LIE SYSTEMS AND INTEGRABILITY CONDITIONS

被引：8

作者：

Carinena, Jose F. ^{[1
,2
]}

De Lucas, Javier ^{[3
]}

机构：

[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, IUMA, E-50009 Zaragoza, Spain

[3] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2009年 / 6卷 / 08期

关键词：

Lie systems; integrability conditions; spin Hamiltonians; Quantum Mechanics; DEPENDENT MAGNETIC-FIELD; DIFFERENTIAL-EQUATIONS; GEOMETRIC PHASE; EVOLUTION; DYNAMICS;

D O I：

10.1142/S021988780900420X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The theory of Lie systems has recently been applied to Quantum Mechanics and additionally some integrability conditions for Lie systems of differential equations have also recently been analyzed from a geometric perspective. In this paper we use both developments to obtain a geometric theory of integrability in Quantum Mechanics and we use it to provide a series of non-trivial integrable quantum mechanical models and to recover some known results from our unifying point of view.

引用

页码：1235 / 1252

页数：18

共 25 条

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