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The Hamilton-Jacobi Formalism for Higher Order Field Theories

Differential Geometry 2011-02-01 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of the formalism on the lagrangian density in the class of those yelding the same Euler-Lagrange equations.

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Cite

@article{arxiv.1003.5236,
  title  = {The Hamilton-Jacobi Formalism for Higher Order Field Theories},
  author = {L. Vitagliano},
  journal= {arXiv preprint arXiv:1003.5236},
  year   = {2011}
}

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25 pages