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The equation of motion as expressed in Hamiltonian mechanics.
Given a phase space represented by a symplectic manifold , and given a Hamiltonian function the solutions to the equations of motion are trajectories which satisfy
hence which are flow lines of the flow induced by the Hamiltonian vector field associated with .
Hamilton’s equations, de Donder-Weyl-Hamilton equation
Last revised on September 12, 2018 at 14:51:35. See the history of this page for a list of all contributions to it.