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Isotropic harmonic oscillator

  1. Oct 2, 2007 #1


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    Find the find the eigenfunctions and eigenvalues of a two-dimensional isotropic harmonic oscillator.

    I don't understand what does isotropic here mean.

    isotropic can be defined "not changing" when the coordinate change to any other position. Am I correct?

    Like mass, pressure, magnitude...

    but how to imagine a two-dimensional isotropi harmonic oscillator? IF you were me, how would you imagine it?
  2. jcsd
  3. Oct 2, 2007 #2


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    Science Advisor

    "isotropic" does not mean "not changing". It means "identical in all directions". Here it just means that the "spring constant" is the same in both directions. You can just ignore it- most harmonic oscillator problems assume "isotropic" without saying it.
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