# A short question regarding Hamiltonian [duplicate]

Can any one please tell me in what cases the hamiltonian is not Equal to Total energy. My guess, albeit educated, is if the potential is either a function of time explicitly or a function of velocity, then $$H\neq T_{energy}$$.

Consequently, then, in every other case $$H=T_{energy}$$. Am I right? I would also appreciate of you would give me an example of a systems in which $$H\neq T_{energy}$$.

If I am wrong, then please correct me.