I was wondering if anyone knows of systems for which the Hamiltonian is not equall to the total energy? This is an interesting problem in analytic mechanics (e.g. Lagrangian and Hamiltonian dynamics) but is rarely, if ever, mentioned in forums and newsgroups. I'd love to see a large set of examples for which this is true. I'd like to get an intuitive feeling for when the Hamiltonian equals the energy. I'm also very interested in whether there are quantum mechanical systems for which the Hamiltonian is not the energy. All input, references, thoughts and comments are welcome. There is an example of this in(adsbygoogle = window.adsbygoogle || []).push({}); Classical Mechanics - Third Ed., by Goldstein, Safko and Poole page 345-346. Thank you.

Best wishes

Pete

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# Hamiltonian vs. Energy

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