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Finite square well potential question 
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#1
Feb2512, 10:33 PM

P: 100

For a finite onedimensional 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
Feb2612, 01:02 AM

HW Helper
Thanks
P: 10,375

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 


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