HAMILTON-JACOBI APPROACH TO BEREZINIAN SINGULAR SYSTEMS

In this work we present a formal generalization of the Hamilton-Jacobi formalism, recently developed For singular systems, to include the ca se of Lagrangians containing variables which are elements of Berezin a lgebra. We derive the Hamilton-Jacobi equation for such systems, analy zing the singular case in order to obtain the equations of motion as t otal differential equations and study the integrability conditions for such equations. An example is solved using both Hamilton-Jacobi and D irac's Hamiltonian formalisms and the results are compared. (C) 1998 A cademic Press.