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
收藏
页码：3137 / 3149
页数：13
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