Quiz 4 Solns

Quiz 4 Solns - Phys320 Spring 2004 (Baski) Quiz #4:...

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Phys320 – Spring 2004 (Baski) L n = 5 0.2L P(x) 0.4L 0.6L 0.8L E Y (x) x Region 1 Region 3 Region 2 Vo Quiz #4: Schrödinger Equation March 24, 2004 Name: ___SOLUTIONS _____ Complete both of the following problems. Show all of your work for full credit. 2 ( ) si n for infinite well n nx x LL p  Ψ=   Problem 1: Infinite Square Well Probabilities An electron is in the n = 5 excited state of a 1-D infinite square well (width L). Draw the probability distribution of the electron. Calculate the probability of finding the electron between x = 0.49L and 0.51L. Note : Because x is so small, it is not necessary to use integration. Use P(x) x = ψ 2 (x) x and substitute ψ n=5 (x) from the general wave function formula for an infinite square well. ( 29 22 55 5 2 ( ) ( ) si (using for infinite well) 5( /2) 25 si n (0.0 2 ) 0.0 4 si n 0.04 o
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This homework help was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.

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