Covariant Hamiltonian formalism for the calculus of variations with several variables

@article{Hlein2004CovariantHF,
  title={Covariant Hamiltonian formalism for the calculus of variations with several variables},
  author={F. H{\'e}lein and J. Kouneiher},
  journal={arXiv: Mathematical Physics},
  year={2004}
}
  • F. Hélein, J. Kouneiher
  • Published 2004
  • Mathematics, Physics
  • arXiv: Mathematical Physics
  • The main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pictures of Lepage theories in the spirit of Dedecker and try to stress out the interplay between the Lepage-Dedecker (LP) description and the (more usual) de Donder-Weyl (dDW) one. For instance the Legendre transform in the dDW approach is replaced by a Legendre correspondence in the LP theory, while ignoring… CONTINUE READING
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