Alexey V Golovnev and Alexander S Ushakov 2008 J. Phys. A: Math. Theor. 41 235210 doi:10.1088/1751-8113/41/23/235210
An invariant variational principle for Hamiltonian mechanics
Alexey V Golovnev1 and Alexander S Ushakov2
Show affiliationsIt 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 ω without any need to choose some 1-form γ, such that ω = dγ, which is not unique and does not even generally exist in a global sense.
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Issue 23 (13 June 2008)
Received 12 January 2008, in final form 24 April 2008
Published 21 May 2008
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An invariant variational principle for Hamiltonian mechanics
Alexey V Golovnev and Alexander S Ushakov 2008 J. Phys. A: Math. Theor. 41 235210
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