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Differential equation in Annulus

  1. Jul 2, 2011 #1

    I want to solve a differential equation which goes like this..

    [itex]\nabla^{2}\psi = A\psi[/itex]

    For an annulus having inner diameter as a and outer diameter as b. (A is some constant)

    I can write down the laplacian in polar co-ordinates and carry on and get a bessel function as the solution.. And then apply the boundary conditions that at r=a and r=b [itex]\psi = 0[/itex]

    Will this do? Or will i have to incorporate the structure of the annulus in the equation like making a co-ordinate transform from r to r-a etc..
  2. jcsd
  3. Jul 7, 2011 #2


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    Science Advisor

    What you say you are doing is perfectly correct.
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