The Hamiltonian in classical mechanics is not always equal to the total energy of the system. I believe this is only true if there is only a potential field and no vector potential. However, in quantum mechanics for a particle in an EM field, even if a vector potential is used the energy operator E -> H. Is this an inconsistency?(adsbygoogle = window.adsbygoogle || []).push({});

While H is not always equal to E in classical mechanics, H is still always regarded as the operator for E when there are not exclusively scalar potentials in QM?

Thanks.

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# Featured I Hamiltonian in Quantum vs Classical

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