1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Mathieu Function Problem [Need Help]

  1. Jun 22, 2008 #1
    There is a mathematical problem in quantum mechanics:
    \left\{\begin{array}{ll} u''+(\varepsilon-2\alpha\cos\phi)u=0&\alpha\gg 1\\u(\phi)e^{i\beta\phi}\quad -2\pi\textrm{-periodic function}\end{array}\right.
    I've found a lot of articles like this one describing [tex]$\alpha\ll 1$[/tex] case.
    Do you have any ideas how to get (approximately!) the dependence [tex]$\varepsilon(\alpha,\beta)$[/tex] for the ground state(minimal [tex]$\varepsilon$[/tex])? Or mb you can give me some links to such articles or books?
    Thx for your attention.
    Last edited: Jun 22, 2008
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted