Hamilton-Jacobi approach to Berezinian singular systems

Details Hamilton-Jacobi approach to Berezinian singular systems Hamilton-Jacobi approach to Berezinian singular systems

1997-12-10

arxiv.org/abs/physics/9712016v1

Annals Phys. 267 (1998) 75-96

Physics

Mathematical Physics

LaTex, 30 pages, no figures

Scientific paper

10.1006/aphy.1998.5813

In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed for singular systems, to include the case of Lagrangians containing variables which are elements of Berezin algebra. We derive the Hamilton-Jacobi equation for such systems, analizing the singular case in order to obtain the equations of motion as total differential equations and study the integrability conditions for such equations. An example is solved using both Hamilton-Jacobi and Dirac's Hamiltonian formalisms and the results are compared.

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