Non-involutive constrained systems and Hamilton-Jacobi formalism
Journal Article
·
· Annals of Physics (New York)
- Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: mcbertin@ift.unesp.br
- Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: pimentel@ift.unesp.br
- Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: valcarcel@ift.unesp.br
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.
- OSTI ID:
- 21167692
- Journal Information:
- Annals of Physics (New York), Vol. 323, Issue 12; Other Information: DOI: 10.1016/j.aop.2008.09.002; PII: S0003-4916(08)00135-8; Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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