1
$\begingroup$

As in the title-how to consider this condition on e.g. a polar or spherical coordinate system, with two or three dimensions? Which different methods I can use?

EDIT: the coordinate system doesn't matter, I'm interested in the n-dimensional generalization of this condition.

Improve this question
$\endgroup$
3
  • 2
    $\begingroup$ Why do you think that the Bohr-Sommerfeld conditions depend on the coordinate system. Is Bohr-Sommerfeld not just saying that the action-angle variables are to be taken as discretized? $\endgroup$
    – ACuriousMind ♦
    Commented May 21, 2016 at 10:48
  • $\begingroup$ does my question imply that it should depend on the coordinate system? I'm asking for two-three dimensional cases, because everywhere only the one dimensional process is explained, and not much is said about n-dimensional generalization, the coordinate system doesn't matter $\endgroup$
    – LowFieldTheory
    Commented May 23, 2016 at 7:19
  • $\begingroup$ You ask "how to consider this condition on e.g. a polar or spherical coordinate system", it seems to imply to me you think it depends on the coordinate system. But be that as it may, I don't see what about the discretization of the action variable $\int p\mathrm{d}q$ does not immediately generalize to the discretization of the action variables $\int p_i\mathrm{d}q_i$ in higher dimensions. $\endgroup$
    – ACuriousMind ♦
    Commented May 23, 2016 at 9:56

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.