Il Nuovo Cimento B (1971-1996)

, Volume 111, Issue 7, pp 841–854 | Cite as

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

  • B. M. Pimentel
  • R. G. Teixeira


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.


04.20.Fy Canonical formalism Lagrangians and variational principles 


11.10.Ef Lagrangian and Hamiltonian approach 


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Copyright information

© Società Italiana di Fisica 1996

Authors and Affiliations

  • B. M. Pimentel
    • 1
  • R. G. Teixeira
    • 1
  1. 1.Institute de Física TeóricaUniversidade Estadual PaulistaSÃo Paulo, S.P.Brazil

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