Hamilton-Jacobi formulation for singular systems with second-order Lagrangians
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Editrice Compositori Bologna
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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.
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Nuovo Cimento Della Societa Italiana Di Fisica B-general Physics Relativity Astronomy and Mathematical Physics and Methods. Bologna: Editrice Compositori Bologna, v. 111, n. 7, p. 841-854, 1996.




