Statistical Mechanics: A Survival Guide > 물리학

1. Back to Basics
1.1. The Role of Statistical Mechanics
1.2. Introduction to Coin Tossing
1.3. Heads I Win, Tails You Lose
1.4. Stirling's Theorem
1.5. More Flipping Coins
1.6. Distinguishable Particles
1.7. Summary
1.8. Problems
2. The Statistics of Distinguishable Particles
2.1. The Boltzmann Distribution for Distinguishable Particles
2.2. Lagrange's Method of Undetermined Multipliers
2.3. The Single-Particle Partition Function
2.4. Degeneracy
2.5. The Partition Function of a System
2.6. Summary
2.7. Problems
3. Paramagnets and Oscillators
3.1. A Spin-1/2 Paramagnet
3.2. Paramagnets with Angular Momentum J
3.3. The Simple Harmonic Oscillator
3.3.1. An Array of 1-D Simple Harmonic Oscillators
3.3.2. An Array of 3-D Simple Harmonic Oscillators
3.4. Summary
3.5. Problems
4. Indistinguishable Particles and Monatomic Ideal Gases
4.1. Distinguishable and Indistinguishable States
4.2. Indentical Gas Particles - Counting the States
4.3. The Partition Function of a Monatomic Ideal Gas
4.4. Properties of the Monatomic Ideal Gas
4.5. More about Adiabatic Expansions
4.6. Maxwell-Boltzmann Distribution of Speeds
4.7. Gibbs Paradox
4.8. Summary
4.9. Problems
5. Diatomic Ideal Gases
5.1. Other Degrees of Freedom
5.2. Rotational Heat Capacities for Diatomic Gases
5.3. The Vibrational Partition Function of a Diatomic Gas
5.4. Putting it All Together for an Ideal Gas
5.5. Summary
5.6. Problems
6. Quantum Statistics
6.1. Indistinguishable Particles and Quantum Statistics
6.2. Bose-Einstein Statistics
6.3. Fermi-Dirac Statistics
6.4. More on the Quantum Distribution Functions
6.5. Summary
6.6. Problems
7. Electrons in Metals
7.1. Fermi-Dirac Statistics: Electrons in Metals
7.2. The Heat Capacity of a Fermi Gas
7.3. The Quantum-Classical Transition
7.4. Summary
7.5. Problems
8. Photons and Phonons
8.1. The Photon Gas
8.2. Generalized Derivation of the Density of States
8.3. Blackbody Radiation
8.4. Phonons
8.5. Summary
8.6. Problems
9. Bose-Einstein Condensation
9.1. Introduction
9.2. The Phenomenon of Bose-Einstein Condensation
9.3. The Quantum-Classical Transition Revisited
9.4. Summary
9.5. Problems
10. Ensembles
10.1. Introduction
10.2. The Chemical Potential
10.3. Ensembles and Probabilities
10.4. The Fermi-Dirac and Bose-Einstein Distributions Revisited
10.5. Fermi-Dirac Distribution Revisited
10.6. Bose-Einstein Distribution Revisited
10.7. Summary
10.8. Problems
11. The End is in Sight
11.1. Phase Space
11.2. Equipartition of Energy
11.3. Route Map through Statistical Mechanics
11.4. Summary
11.5. Problems Appendix A: Worked Answers Appendix B: Useful Integrals Appendix C: Physical Constants Appendix D: Bibliography Index