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| Back to Basics | |
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| The Role of Statistical Mechanics | |
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| Introduction to Coin Tossing | |
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| Heads I Win, Tails You Lose | |
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| Stirling's Theorem | |
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| More Flipping Coins | |
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| Distinguishable Particles | |
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| Summary | |
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| Problems | |
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| The Statistics of Distinguishable Particles | |
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| The Boltzmann Distribution for Distinguishable Particles | |
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| Lagrange's Method of Undetermined Multipliers | |
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| The Single-Particle Partition Function | |
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| Degeneracy | |
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| The Partition Function of a System | |
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| Summary | |
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| Problems | |
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| Paramagnets and Oscillators | |
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| A Spin-1/2 Paramagnet | |
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| Paramagnets with Angular Momentum J | |
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| The Simple Harmonic Oscillator | |
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| An Array of 1-D Simple Harmonic Oscillators | |
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| An Array of 3-D Simple Harmonic Oscillators | |
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| Summary | |
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| Problems | |
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| Indistinguishable Particles and Monatomic Ideal Gases | |
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| Distinguishable and Indistinguishable States | |
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| Identical Gas Particles - Counting the States | |
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| The Partition Function of a Monatomic Ideal Gas | |
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| Properties of the Monatomic Ideal Gas | |
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| More about Adiabatic Expansions | |
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| Maxwell-Boltzmann Distribution of Speeds | |
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| Gibbs Paradox | |
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| Summary | |
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| Problems | |
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| Diatomic Ideal Gases | |
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| Other Degrees of Freedom | |
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| Rotational Heat Capacities for Diatomic Gases | |
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| The Vibrational Partition Function of a Diatomic Gas | |
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| Putting it All Together for an Ideal Gas | |
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| Summary | |
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| Problems | |
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| Quantum Statistics | |
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| Indistinguishable Particles and Quantum Statistics | |
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| Bose-Einstein Statistics | |
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| Fermi-Dirac Statistics | |
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| More on the Quantum Distribution Functions | |
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| Summary | |
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| Problems | |
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| Electrons in Metals | |
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| Fermi-Dirac Statistics: Electrons in Metals | |
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| The Heat Capacity of a Fermi Gas | |
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| The Quantum-Classical Transition | |
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| Summary | |
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| Problems | |
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| Photons and Phonons | |
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| The Photon Gas | |
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| Generalized Derivation of the Density of States | |
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| Blackbody Radiation | |
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| Phonons | |
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| Summary | |
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| Problems | |
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| Bose-Einstein Condensation | |
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| Introduction | |
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| The Phenomenon of Bose-Einstein Condensation | |
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| The Quantum-Classical Transition Revisited | |
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| Summary | |
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| Problems | |
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| Ensembles | |
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| Introduction | |
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| The Chemical Potential | |
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| Ensembles and Probabilities | |
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| The Fermi-Dirac and Bose-Einstein Distributions Revisited | |
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| Fermi-Dirac Distribution Revisited | |
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| Bose-Einstein Distribution Revisited | |
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| Summary | |
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| Problems | |
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| The End is in Sight | |
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| Phase Space | |
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| Equipartition of Energy | |
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| Route Map through Statistical Mechanics | |
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| Summary | |
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| Problems | |
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| Worked Answers to Problems | |
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| Chapter 1 | |
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| Chapter 2 | |
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| Chapter 3 | |
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| Chapter 4 | |
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| Chapter 5 | |
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| Chapter 6 | |
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| Chapter 7 | |
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| Chapter 8 | |
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| Chapter 9 | |
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| Chapter 10 | |
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| Chapter 11 | |
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| Useful Integrals | |
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| Physical Constants | |
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| Bibliography | |
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| Index | |