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Nucleon in Inifinte Square Well

  1. Apr 28, 2012 #1
    1. The problem statement, all variables and given/known data

    Assuming an infinite square well of radius 2.8E-13cm, find the normalized wave functions and the energies of the four lowest states for a nucleon.

    2. The attempt at a solution

    I want to say that the wave function is [itex]\psi (x) = \sqrt{\frac{2}{a}} sin(\frac{n \pi}{a} x)[/itex]. Which then leads to possible energies of [itex]E_{n}=\frac{n^{2} \pi^{2} \hbar^{2}}{2 m a^{2}}[/itex]. Where in this case [itex]a = 2(2.8 \times 10^{-13}) = 5.6 \times 10^{-13}[/itex]. And m would be the nucleon mass. Does this work?
     
  2. jcsd
  3. Apr 28, 2012 #2
    I think I've convinced myself this is valid; or at least not totally off base.
     
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