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Hamiltonian Mechanics. Hamiltonian (quantum mechanics), Canonical transformation, Classical mechanics, Hamilton Jacobi equation, William Rowan Hamilton, Hamiltonian vector field, Symplectic manifold, Hamiltonian (control theory), Canonical coordinates, Perturbation theory, Legendre transformation, Poisson bracket, Liouville's theorem (Hamiltonian), Geodesics as Hamiltonian flows