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What is the hamiltonian of a system? (and please don’t say its teh total energy because...

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Physics

What is the hamiltonian of a system? (and please don’t say itsteh total energy because its only the total energy when it’s timeindependent.
What is the difference between the momonetum P and the canonicalmomentum in the hamiltonian ? from a physical and mathimaticalpoint of view ?
when is the canonical momentum the same as the mechanicalmomentum ?
please explain the connection between the canonical parameterq and its conanical momemtum p in the hamiltonian.

Answer & Explanation Solved by verified expert
4.4 Ratings (931 Votes)
Hamiltonian and Lagrangian dynamics are superior to NewtoniandynamicsIf you know the lagrangian of a system you can calculate theHamiltonian of the same system Even though the dimension ofHamiltonian of a    See Answer
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