What is Hamiltonian equation(H)?
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The time evolution of the system is uniquely defined by Hamilton's equations: where H = H(q, p, t) is the Hamiltonian, which often corresponds to the total energy of the system. For a closed system, it is the sum of the kinetic and potential energy in the system.
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The function H is known as the Hamiltonian or the energy fynction. The symlectic manifold is than called phase space. The hamiltonian induces a special vector fueld on the symplectic mannifold kanown as the hamiltonian vector field...
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