hw5 - PHY 4604 Fall 2010 Homework 5 Due by 5:00 p.m on...

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PHY 4604 Fall 2010 – Homework 5 Due by 5:00 p.m. on Monday, November 1. Please deliver your homework to NPB 2162, or push it under the door if the room is unoccupied. No credit will be available for homework submitted after the start of class on Friday, November 5. Answer both questions. Please write neatly and include your name on the front page of your answers. You must also clearly identify all your collaborators on this assignment. To gain maximum credit you should explain your reasoning and show all working. 1. Half potentials. Any potential V s ( x ) that is mirror symmetric about x = 0, i.e., V s ( - x )= V s ( x ) for all x has N s bound states labeled n =0 ,1 ,2 , ... , N s - 1w i th energies E s,n that satisfy E s,n +1 >E s,n and with normalized wave functions ψ s,n ( x ) that satisfy ψ s,n ( - x )=( - 1) n ψ s,n ( x ). Then the “half potential” V h ( x ) formed from V s ( x ) by inserting a hard wall that pre- vents the particle entering the region x< 0, i.e., V h ( x )= ( V s ( x ) for x>
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hw5 - PHY 4604 Fall 2010 Homework 5 Due by 5:00 p.m on...

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