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Results tagged with phase-space
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user 100271
A notional even-dimensional space representing all relevant states of a dynamical system; it normally consists of all components of position and momentum/velocity involved in that unique specification. Use for both classical and quantum physics.
2
votes
1
answer
186
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Perelomov coherent states for an arbitrary Hamiltonian
I'm reading about Perelomov coherent states, but I'm not sure if I'm getting it right. From this question and some Perelomov papers I understand the following:
The Perelomov coherent states are gener …
- 435
2
votes
2
answers
566
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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
2
votes
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
2
votes
Can I swap quantum mechanical ground state for some classical trajectory distribution and ha...
If you take the Liouville equation and set $\frac{\partial \rho}{\partial t} = 0$, so that the probability density doesn't depend on the time, you get (in one dimension):
$$\frac{\partial \rho}{\part …
- 435