= Hamiltonian vector field
{wiki=Hamiltonian_vector_field}
In the context of Hamiltonian mechanics, a Hamiltonian vector field is a vector field that is derived from a Hamiltonian function, which typically represents the total energy of a physical system. The Hamiltonian formulation of classical mechanics describes the evolution of a system in phase space using this vector field. Suppose we have a Hamiltonian function \\( H(q, p) \\), where \\( q \\) represents generalized coordinates (position variables) and \\( p \\) represents generalized momenta.
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