Plot a several energy eigenvalues of a partical

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eman2009
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Hi
How can i compute(or obtain from mathmatical tables) and plot a several energy eigenvalues of a particle in an infinity deep ,spherically and symmetric square well?
 
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http://ocw.u-tokyo.ac.jp/wp-content/uploads/lecture-notes_eng/Engin_06/3-1E.PDF
 
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i should comput it due to the angular momentum states.
and I'm not very clear with the attachment .. i thought i can comput it from schrodenger equation and find E and blug the Q# in it for the lowest energy eigenvalues is it correct?
if you can make it easy to find ,i well appreciate...
thanks very much