Energy conservation Hamiltonian dependency

Question

Suppose the a system has a Hamiltonian $H = H(q,p)$, and suppose $H$ does not depend explicitly on time. If $H\neq E$ the total energy of the system, does this necessarily say that $E$ is not conserved? Why?

score 1 · Answer 1 · edited Apr 13 '17 at 12:39

1

I think you have a logical contradiction in your question. When H is independent of time, then H=E.

Please refer to this previous answer. When is the Hamiltonian of a system not equal to its total energy?

edited Apr 13 '17 at 12:39

Community

1

answered Jan 21 '16 at 21:48

Greg Petersen

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Energy conservation Hamiltonian dependency

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