hw3_002 - PHY 4604 Fall 2009 Homework 3 Due at the start of...

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PHY 4604 Fall 2009 – Homework 3 Due at the start of class on Wednesday, September 30. No credit will be available for homework submitted after the start of class on Monday, October 5. Answer all three 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. These questions are similar in length and difficulty to those that will appear on the first mid- term exam. The exam will likely consist of one question requiring quantitative calculations (like question 1 or question 2 below) and one question requiring a more qualitative answer (like question 3). Your may find useful the following integrals: Z 0 x 2 n e - x 2 dx = π (2 n )! 2 2 n +1 n ! Z 0 x 2 n +1 e - x 2 dx = n ! 2 1. Consider a particle of mass m oscillating in one dimension at the end of an ideal spring of spring constant k , i.e., having a potential energy V ( x )= 1 2 kx 2 . Suppose that at time t = 0, this system is in the quantum-mechanical state (1 - 2 i ) ψ 2 ( x ) / 5(where ψ n with
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This note was uploaded on 12/15/2011 for the course PHY 4604 taught by Professor Field during the Fall '07 term at University of Florida.

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hw3_002 - PHY 4604 Fall 2009 Homework 3 Due at the start of...

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