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Results tagged with hamiltonian-formalism
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user 100271
The Hamiltonian formalism is a formalism in Classical Mechanics. Besides Lagrangian Mechanics, it is an effective way of reformulating classical mechanics in a simple way. Very useful in Quantum Mechanics, specifically the Heisenberg and Schrodinger formulations. Unlike Lagrangian Mechanics, this formalism relies on a "Hamiltonian" instead of a Lagrangian, which differs from the Lagrangian through a Legendre transformation.
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Action variables in canonical transformations
Let's suppose we have a Hamiltonian $H(p_k, q_k)$ and we want to transform it via a canonical transformation to one Hamiltonian which doesn't depend on the new coordinates $w_k$, but only in the momen …
- 435
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Action variables in canonical transformations
I've come up with another answer.
The type II generating function $S^\prime(q, J)$ can be obtained from its differential as:
$\int dS^\prime = \int p dq + \int w dJ$
But since $J$ is constant, the …
- 435