hw7_002 - PHY 4604 Fall 2009 Homework 7 Due at 5:00 p.m. on...

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PHY 4604 Fall 2009 – Homework 7 Due at 5:00 p.m. on Friday, December 4. Please turn in your homework in class before the deadline, or else bring it to NPB 2162. (You may push it under the door if NPB 2162 is unoccupied.) No credit will be available for homework submitted after the start of class on Monday, December 7. Answer all four 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. The isotropic harmonic oscillator. Apart ic leo fmass M moves in the potential V ( r )= 1 2 2 ( x 2 + y 2 + z 2 )= 1 2 2 r 2 . The stationary states of this problem can be found in Cartesian coordinates by the method of separation of variables. (a) Based on your knowledge of the one-dimensional harmonic oscillator, write down the general form of the normalized stationary states ψ
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