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## Homework Statement

Can a system have the total energy conserved but the hamiltonian not conserved?## Homework Equations

If the partial of the lagrangian w.r.t time is zero, energy is conserved.The hamiltonian is found by the usual method- get the generalized momentum from the lagrangian then plug each into the equation:let me skip typing it in latex. :yuck: Compare this to the total energy.