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#1 2010-04-15 03:34:11

EnSlavingBlair
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Registered: 2010-04-14
Posts: 6

Square well with one finite wall and one infinite wall

Question:
Consider a square well with one finite wall and one infinite wall. Compare the energy and momentum of a particle trapped in this well to the energy and momentum of an ideal particle trapped in an infinite well with the same width.

Attempt/thoughts:
Can you treat the particle as if it's in a finite well, if you take the odd value of n (the energy level)? Or if you found the penetration depth (1/\alpha) could you then add that onto the width of the well and treat it as an infinite well? As in L_{new} = (L+1/\alpha) and then just use it in the eqn E_{n} = n^{2}pi^{2}(h-bar)^{2}/(2mL^{2}), for n=1,2,...?

And I don't know how you would find momentum from that, there are so many momentum equations I've been provided with recently, I'm really very confused!

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