SYMPLECTIC PROJECTOR IN CONSTRAINED SYSTEMS

被引：19

作者：

PITANGA, P

机构：

[1] Universidade Federal do Rio de Janeiro Instituto de Fisica, Rio de Janeiro, RJ

来源：

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS | 1990年 / 103卷 / 11期

关键词：

PACS 03.20 - Classical mechanics of discrete systems: general mathematical aspects; PACS 03.50 - Classical field theory; PACS 12.90 - Miscellaneous theoretical ideas and models;

D O I：

10.1007/BF02820299

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

In this work we develop a geometric formalism for constrained Hamiltonian systems. Using a symplectic projector, we show that the variables compatible with the constraints are written as functions of the arbitrary variables. Their Poisson bracket is just the Dirac bracket of the unconstrained variables. This approach yields in a natural way all properties associated to a generalized symplectic structure with a well-defined effective Hamiltonian. © 1990 Società Italiana di Fisica.

引用

页码：1529 / 1533

页数：5