Non-involutive constrained systems and Hamilton-Jacobi formalism

被引：23

作者：

Bertin, M. C. ^{[1
]}

Pimentel, B. M. ^{[1
]}

Valcarcel, C. E. ^{[1
]}

机构：

[1] Sao Paulo State Univ, Inst Fis Teor, BR-01405000 Sao Paulo, Brazil

来源：

ANNALS OF PHYSICS | 2008年 / 323卷 / 12期

关键词：

Hamilton-Jacobi formalism; Constrained systems; Generalized Brackets;

D O I：

10.1016/j.aop.2008.09.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work we discuss the natural appearance of the Generalized Brackets in systems with non-involutive (equivalent to second class) constraints in the Hamilton-Jacobi formalism. We show how a consistent geometric interpretation of the integrability conditions leads to the reduction of degrees of freedom of these systems and, as consequence, naturally defines a dynamics in a reduced phase space. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：3137 / 3149

页数：13

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