Finite square well potential question

  1. For a finite one-dimensional square potential well if a proton is bound, how many bound energy states are there?

    If m = 1.67*10^(-27) kg a = 2.0fm and the depth of the well is 40MeV.

    Now I know the energy levels are
    En = (n^2 * h^2) /(8ma^2) = (n^2*pi*2)/4 * (2hbar^2)/(ma^2)

    but I am unsure as to how to find the number of the allowed energy states. Any help would be greatly appreciated.

    Thanks.
    Stephen
     
  2. jcsd
  3. ehild

    ehild 11,801
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    Determine n belonging to the maximum magnitude of energy less then 40 MeV. But take care: the formula you cited refers to infinite potential wells. Here the potential well is of finite depth.

    ehild
     
    Last edited: Feb 26, 2012
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