The Hamilton-Jacobi Formalism for Higher Order Field Theories

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.

25 pages

References in corpus (3)

• De Donder-Weyl Equations and Multisymplectic Geometry
• Covariant Poisson Brackets in Geometric Field Theory
• Geometry of Hamiltonean n-vectors in Multisymplectic Field Theory

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• Structural aspects of Hamilton-Jacobi theory
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• Unified formalism for the generalized kth-order Hamilton-Jacobi problem
• Hamilton-Jacobi theory for gauge field theories
• An overview of the Hamilton--Jacobi theory: the classical and geometrical approaches and some extensions and applications