The Hamiltonian of a dynamical system is equal to its total energy, provided that its Lagrangian...

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The Hamiltonian of a dynamical system is equal to its total energy, provided that its Lagrangian a) Does not contain velocity-dependent terms, b) c) d) Is separable in generalized coordinates and velocities. Does not have term which explicitly depends on the coordinates. Has no explicit time dependence. The Hamiltonian of a dynamical system is equal to its total energy, provided that its Lagrangian a) Does not contain velocity-dependent terms, b) c) d) Is separable in generalized coordinates and velocities. Does not have term which explicitly depends on the coordinates. Has no explicit time dependence.

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