| Preface | p. xiii |
| History | |
| Failure of the Dulong-Petit Law | p. 1 |
| Crystals: Einstein's View | p. 2 |
| Problems | p. 2 |
| Background | |
| Classical Harmonic Motion | p. 4 |
| Wave Equations: The Vibrating String | p. 7 |
| Wave Motion | p. 9 |
| Solving the Wave Equation: Separation of Variables | p. 11 |
| The Time-Independent Wave Equation X(x) | p. 12 |
| The Time-Dependent Wave Equation T(t) | p. 15 |
| Superpositions | p. 16 |
| A Two-Dimensional Wave Equation | p. 17 |
| The Time-Independent Wave Functions X(x[subscript 1]) and X(x[subscript 2]) | p. 18 |
| A Three-Dimensional Wave Equation | p. 20 |
| The Boltzmann Distribution | p. 21 |
| Degrees of Freedom | p. 23 |
| Kinetic Energy per Degree of Freedom | p. 24 |
| Boltzmann's Constant | p. 26 |
| The Translational Energy | p. 27 |
| The Energy of a Vibrational State Is k[subscript B]T | p. 27 |
| Trouble Brewing | p. 28 |
| Problems | p. 29 |
| Experimental Background | |
| Thermal Radiation in a Chamber or Cavity | p. 30 |
| Kirchhoff's Law: Absorptivity | p. 33 |
| The Intensity of Radiation | p. 34 |
| The Stefan-Boltzmann Law: Emissivity | p. 36 |
| Stefan's Law | p. 36 |
| The Blackbody Radiation Spectrum | p. 41 |
| Measurement of the Blackbody Spectrum | p. 43 |
| Astrophysical Data from the COBE Satellite | p. 46 |
| Problems | p. 48 |
| The Planck Equation | |
| The Paschen-Wien Law | p. 49 |
| Fitting the Curve | p. 51 |
| The Number Density of Oscillatory Modes | p. 56 |
| The Rayleigh-Jeans Equation | p. 60 |
| The Planck Equation | p. 62 |
| Immediate Deductions from Planck's Law | p. 67 |
| Problems | p. 68 |
| The Einstein's Equation | |
| The Einstein Model | p. 70 |
| Einstein's First Derivation: The Heat Capacity of Diamond | p. 71 |
| The Einstein Temperature | p. 73 |
| Difficulties with the Einstein Theory | p. 75 |
| Problems | p. 76 |
| The Debye Equation | |
| The Debye Model | p. 77 |
| The Debye Equation | p. 79 |
| The Debye Temperature | p. 82 |
| The Integral D | p. 84 |
| Very-Low-Temperature Behavior of the Debye Equation | p. 84 |
| The Speed of Sound in Solids | p. 86 |
| The Debye Third-Power Law | p. 90 |
| Third-Law Entropies | p. 90 |
| Problems | p. 92 |
| Quantum Statistics | |
| The Photoelectric Effect | p. 94 |
| The Photon Gas | p. 96 |
| Bose's Letter to Einstein | p. 97 |
| The Quantum Harmonic Oscillator | p. 98 |
| The Total Vibrational Energy | p. 101 |
| Heat Capacity | p. 101 |
| Bosons and Fermions | p. 103 |
| Permutations and Combinations | p. 104 |
| Configurations | p. 105 |
| Stirling's Approximation | p. 107 |
| Constraints | p. 107 |
| The Classical Boltzmann Distribution | p. 108 |
| Fine Structure | p. 110 |
| The Classical Case: A More General Derivation | p. 112 |
| Fermi-Dirac Counting | p. 113 |
| The Fermi-Dirac Distribution Function | p. 116 |
| Bose-Einstein Counting | p. 117 |
| The Bose-Einstein Statistical Weights W[subscript B] | p. 119 |
| The Bose-Einstein Distribution Function | p. 120 |
| Summary Equations | p. 121 |
| An Alternative Derivation for Fermions and Bosons | p. 121 |
| Fermions (Again) | p. 123 |
| Bosons (Again) | p. 123 |
| Reduction to the Classical Case | p. 125 |
| The Entropy | p. 126 |
| A Note from Classical Thermodynamics: The Fundamental Equation | p. 129 |
| Problems | p. 129 |
| Consequences of the Fermi-Dirac Distribution | |
| The Electron Gas | p. 132 |
| The Fermi Sea | p. 132 |
| The Fermi Distribution | p. 135 |
| The Electronic Contribution to Solid-State Heat Capacity | p. 136 |
| The Ground State of a Fermi Gas | p. 137 |
| The Number of Orbitals in the Ground State | p. 139 |
| The Total Energy of Electrons in the Ground State | p. 140 |
| The Density of States | p. 141 |
| The Energy of an Electron Gas | p. 144 |
| The Low-Temperature Heat Capacity of an Electron Gas | p. 145 |
| The Debye-Sommerfeld Equation | p. 146 |
| Problems | p. 148 |
| Consequences of the Bose-Einstein Distribution | |
| Of Waves and Particles | p. 149 |
| Bose: The Density of Photon Modes | p. 150 |
| Why Is [mu] = 0 for Photons? | p. 152 |
| Phonons | p. 154 |
| The Influence of Symmetry Numbers on Rotational Spectroscopy | p. 155 |
| The Vibrational Partition Function q[subscript vib] | p. 157 |
| The Rotational Partition Function q[subscript rot] | p. 158 |
| Symmetry Numbers | p. 159 |
| Bosons, Fermions, and Triplets | p. 161 |
| The Einstein Coefficients | p. 162 |
| Lasers | p. 164 |
| The Bose-Einstein Condensation | p. 165 |
| The Bose-Einstein Condensation of Metal Vapor (Nobel Prize, 2001) | p. 165 |
| Ballistic Expansion | p. 167 |
| Macroscopic Quantum Effects | p. 168 |
| Superfluidity | p. 168 |
| Order Parameters | p. 170 |
| Superconductivity | p. 171 |
| Stopped Light | p. 172 |
| Vortices | p. 173 |
| Problems | p. 175 |
| Bibliography | p. 177 |
| Index | p. 179 |
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