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 yielding the same Euler–Lagrange equations.
The Hamilton-Jacobi Formalism for Higher Order Field Theories
VITAGLIANO, LUCA
2010
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 yielding the same Euler–Lagrange equations.File in questo prodotto:
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