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Hamilton-Jacobi formulation for singular systems with second-order Lagrangians

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Il Nuovo Cimento B (1971-1996)

Summary

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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Authors and Affiliations

  1. Institute de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, SÃo Paulo, S.P., Brazil

    B. M. Pimentel & R. G. Teixeira

Authors
  1. B. M. Pimentel
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  2. R. G. Teixeira
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The authors of this paper have agreed to not receive the proofs for correction.

Partially supported by CNPq.

Supported by CAPES.

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Pimentel, B.M., Teixeira, R.G. Hamilton-Jacobi formulation for singular systems with second-order Lagrangians. Nuov Cim B 111, 841–854 (1996). https://doi.org/10.1007/BF02749015

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  • DOI: https://doi.org/10.1007/BF02749015

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