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Homework Help: *Revised* Possible bound states of a one-dimensional square well

  1. Oct 1, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the solutions of even and odd parity from the transcendental equations then find the number of bound states that are possible for a potential such that p(max) = 4?

    2. Relevant equations
    p=ka/2 & p(max)^2 = (u(not)a[tex]^{2}[/tex]/4), u(not) = [tex]\overline{2m(not)}[/tex][tex]\underline{\hbar^{2}}[/tex]V(not)

    I've found that for Even parity: p tan(p)= [tex]\sqrt{p(max)^{2}-p^{2}}[/tex]

    Odd: -p cot(p)= [tex]\sqrt{p(max)^{2}-p^{2}}[/tex]

    3. The attempt at a solution

    So after I've found the Even and Odd solutions from a lot of algebra I'm completely lost on how to find the number of bound states. I assume that this has to do with integers of k but I'm not sure what this all means and how to derive a "bound" state from the information given. I need a lot of help... or at least some just to get started!
  2. jcsd
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