MSE Problem Set 5 2011 [Pot Step]

# MSE Problem Set 5 2011 [Pot Step] - MSE 310-ECE 340...

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MSE 310-ECE 340 Dept. of Materials Science & Engineering Electrical Properties of Materials Fall 2011/Bill Knowlton 1 Problem Set 5 (Show all work for all problems) 1. In class, we solved the potential barrier step problem leaving out several mathematical steps. Solve this problem thoroughly without skipping any steps using the approach we listed and outlined in class. Include calculating T , R , < 2 | 2 >, and 1 that includes the phase change upon reflection. You will have to prove that -B/A ~ e i 2 .. 2. An electron energy barrier of energy V is of thickness a o (e.g., 2 a ). The problem is similar to the problem in your book. However, we will treat the wave functions a bit differently. The regions and accompanying wave functions are shown in the figure below. Note that E e- > V . 11 1 1 22 3 1 1 2 2 1 3 Region 1: ( ) ; & ( ) & ( ) 2 Region 2: ( ) 2 Region 3: ( ) & ( ) 2 ik x ik x ik x ik x IR ik x ik x ik x ik x ik x T k x Ae Be E x Ae x Be m k xC e D e E V m k xF e F e E e m   

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## This note was uploaded on 10/16/2011 for the course ENGINEERIN MSE 310 taught by Professor Billknowlton during the Spring '10 term at Boise State.

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MSE Problem Set 5 2011 [Pot Step] - MSE 310-ECE 340...

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