Non-involutive constrained systems and Hamilton-Jacobi formalism

Journal Article · Mon Dec 15 00:00:00 EST 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.09.002· OSTI ID:21167692

Bertin, M.C. ^[1]; Pimentel, B.M. ^[2]; Valcarcel, C.E. ^[3]

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1. Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: [e-mail]
2. Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: [e-mail]
3. Instituto de Fisica Teorica, Sao Paulo State University, Rua Pamplona 145, CEP 01405-000, Sao Paulo, SP (Brazil), E-mail: [e-mail]

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

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DEGREES OF FREEDOM
HAMILTON-JACOBI EQUATIONS
PHASE SPACE