Finite square well potential question


by StephenD420
Tags: finite, potential, square
StephenD420
StephenD420 is offline
#1
Feb25-12, 10:33 PM
P: 100
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
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ehild
ehild is offline
#2
Feb26-12, 01:02 AM
HW Helper
Thanks
P: 9,818
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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