# ps9 - Statistical Physics I(8.044 Spring 2009 Assignment 9...

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Statistical Physics I (8.044) Spring 2009 Assignment 9 April 22, 2009 Due April 29, 2009 Please remember to put your name and section number at the top of what you turn in. Readings The reading for Chapter VII of 8.044 is Baierlein Chapters 4.1 and 6. The reading for Chapter VIII of 8.044 is Baierlein Chapter 7. The reading for Chapter IX of 8.044 is Baierlein Chapters 8 and 9. These are the Fnal reading assignments for 8.044. Problem Set 9 1. Density of States for Nonrelativistic Particles (6 points) Solutions to the Schr¨odinger equation for nonrelativistic particles in a L × L × L box take the form ψ ( x,y,z ) sin( m x πx/L ) sin( m y πy/L ) sin( m z πz/L ) , with m x , m y and m z positive integers. The energy of such a solution is ε = ¯ h 2 π 2 ( m 2 x + m 2 y + m 2 z ) / (2 mL 2 ). What is the density of states D ( ε )? 2. Radiation Pressure (6 points) Do Baierlein Chapter 6 Problem 1, page 141. Keeping the particle density the same, how hot would the center of the sun have to be in order for the radiation pressure

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ps9 - Statistical Physics I(8.044 Spring 2009 Assignment 9...

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