Hamilton-Jacobi formulation for singular systems with second order Lagrangians

Abstract

Recently the Hamilton-Jacobi formulation for first order constrained systems has been developed. In such formalism the equations of motion are written as total differential equations in many variables. We generalize the Hamilton-Jacobi formulation for singular systems with second order Lagrangians and apply this new formulation to Podolsky electrodynamics, comparing with the results obtained through Dirac's method.

Latex, 21 pages, no figures (Changes made to solve problems, caused by a macro, that some users had to Tex the paper. The paper itself has no changes.)

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