08_751_hw05

08_751_hw05 - Physics 751 Homework #5 Due October 1, 11:00...

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Physics 751 Homework #5 Due October 1, 11:00 am. 1. (a) For the finite square well potential V = 0 for x 0, V = V 0 for 0 x < L , V = 0 for L x , prove that the transmission amplitude S ( k ) for an electron coming in from the left with momentum k is 1 22 1 1 1 1 2 ( ) , 2 cos ( )sin kk Sk kk k L i k k k L where k 1 is the momentum inside the well. Compare this with the transmission through a square barrier in http://www.phys.virginia.edu/classes/751.mf1i.fall02/OneDimSchr.htm and comment on the similarities and differences. (b) Sketch the probability of transmission carefully as a function of energy, or plot it with
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This note was uploaded on 12/07/2011 for the course PHYSICS 751 taught by Professor Michaelfowler during the Fall '07 term at UVA.

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