Invariant variational principle for Hamiltonian mechanics

Details Invariant variational principle for Hamiltonian mechanics Invariant variational principle for Hamiltonian mechanics

2007-10-16

arxiv.org/abs/0710.2990v5

J.Phys.A41:235210,2008

Physics

Mathematical Physics

final version; to appear in J.Phys.A; 17 pages, 2 figures

Scientific paper

10.1088/1751-8113/41/23/235210

It is shown that the action for Hamiltonian equations of motion can be
brought into invariant symplectic form. In other words, it can be formulated
directly in terms of the symplectic structure $\omega$ without any need to
choose some 1-form $\gamma$, such that $\omega= d \gamma$, which is not unique
and does not even generally exist in a global sense.

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