- #1
Casco
- 82
- 1
Does the Hamiltonian is always equal to the energy of the system??
I have this doubt since a few weeks ago. For the Newtonian case we have that H=K+U, kinetical energy plus potential energy, but given that the definition of the Hamiltonian is H=[itex]\dot{q}[/itex]P-L, my question is, Does exist a system or a "type" of systems that their Hamiltonian is not H=K+U? A example of this could be a Hamiltonian with the form H=K+U+f(t).
Perhaps my question can be modeled like this, Does exist a theorem which proves that the hamiltonian for a given system is always of the form H=K+U??
I have this doubt since a few weeks ago. For the Newtonian case we have that H=K+U, kinetical energy plus potential energy, but given that the definition of the Hamiltonian is H=[itex]\dot{q}[/itex]P-L, my question is, Does exist a system or a "type" of systems that their Hamiltonian is not H=K+U? A example of this could be a Hamiltonian with the form H=K+U+f(t).
Perhaps my question can be modeled like this, Does exist a theorem which proves that the hamiltonian for a given system is always of the form H=K+U??
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