| Classical Theory | |
| Thermoelasticity from the Continuum Viewpoint | p. 3 |
| Introduction | p. 3 |
| Kinematics of Continua | p. 4 |
| Mechanics | p. 9 |
| Thermodynamics | p. 15 |
| Various Thermodynamic Potentials | p. 24 |
| Thermoelastic Stress-Strain Relations | p. 27 |
| Thermoelastic Relations for Small Changes from Reference State | p. 30 |
| Related Thermodynamic Functions | p. 34 |
| Elastic Constants in Terms of Displacement Gradients | p. 38 |
| Isotropic Solids | p. 42 |
| Notation of Thurston (1964) | p. 47 |
| Concepts of Classical Statistical Mechanics | p. 49 |
| Introduction | p. 49 |
| Hamiltonian Mechanics | p. 50 |
| Use of Statistics in Statistical Mechanics | p. 54 |
| Phase Functions and Time Averages | p. 56 |
| Phase Space Dynamics of Isolated Systems | p. 61 |
| Systems in Weak Interaction | p. 72 |
| Canonical Distribution | p. 76 |
| Time Averages versus Ensemble Averages | p. 80 |
| Corresponding Concepts in Thermodynamics and Statistical Mechanics | p. 85 |
| Introduction | p. 85 |
| Empirical Temperature | p. 87 |
| Quasi-Static Process | p. 88 |
| Phase Functions for Generalized Forces | p. 89 |
| First Law of Thermodynamics | p. 90 |
| Second Law of Thermodynamics | p. 93 |
| Use of Mechanical Variables as Controllable Parameters | p. 96 |
| Fluctuations | p. 104 |
| Partition Function Relations | p. 115 |
| Continuum Formulations of Nonuniform Processes | p. 116 |
| Equipartition Theorem | p. 118 |
| Entropy from the Information Theory Viewpoint | p. 120 |
| Crystal Elasticity | p. 127 |
| Introduction | p. 127 |
| Bravais Lattices | p. 129 |
| The Atomistic Concept of Stress in a Perfect Crystal | p. 131 |
| Harmonic and Quasi-Harmonic Approximations | p. 140 |
| Thermoelastic Stress-Strain Relations Based on the Harmonic Approximation | p. 143 |
| Cauchy Relations | p. 150 |
| Stress Ensemble | p. 156 |
| Linear Chain with Nearest Neighbor Interactions | p. 160 |
| Lattice Dynamics and Crystal Elasticity | p. 174 |
| Rubber Elasticity, I | p. 185 |
| Introduction | p. 185 |
| Relative Roles of Internal Energy and Entropy | p. 186 |
| Atomic Structure of Long-Chain Molecules and Networks | p. 188 |
| One-Dimensional Polymer Model | p. 193 |
| Three-Dimensional Polymer Models | p. 198 |
| Network Theory of Rubber Elasticity | p. 205 |
| Rubber Elasticity, II | p. 211 |
| Introduction | p. 211 |
| Curvilinear Coordinates | p. 212 |
| Geometric Constraints | p. 217 |
| An Example | p. 221 |
| Curvilinear Coordinates for Stressed Polymer Chains | p. 223 |
| Rigid and Flexible Polymer Models | p. 228 |
| Use of S = k log p for Stretched Polymers | p. 234 |
| Strain Ensemble for Short Freely Jointed Chains | p. 237 |
| Stress Ensemble for Chain Molecules | p. 244 |
| Statistical Mechanics of Phantom Networks | p. 247 |
| Addendum: Atomic View of Stress in Polymer Systems | p. A1 |
| Rate Theory in Solids | p. 257 |
| Introduction | p. 257 |
| Impurity Atom Diffusion | p. 258 |
| A Simple One-Dimensional Rate Theory | p. 261 |
| Exact Normalization | p. 265 |
| Many Degrees of Freedom | p. 267 |
| Transition-State Assumption | p. 275 |
| Brownian Motion | p. 276 |
| Kramers Rate Formula | p. 287 |
| Quantum Theory | |
| Basic Concepts of Quantum Mechanics | p. 297 |
| Introduction | p. 297 |
| Structure of Classical Mechanics | p. 298 |
| Structure of Quantum Mechanics | p. 299 |
| Consequences of the Fourier Transform Relation between [psi subscript x](x) and [psi subscript p](p) | p. 303 |
| Extension to Three-Dimensional Motion and to N Particles | p. 312 |
| Hydrodynamic Analogy to Quantum Mechanics | p. 315 |
| Initial-Value Problems | p. 318 |
| Aspects of the Measurement Process | p. 320 |
| Some Examples of Stationary States | p. 322 |
| Tensor Product of Two Spaces | p. 334 |
| Electron Spin | p. 336 |
| Identical Particles and the Pauli Principle | p. 340 |
| Interatomic Interactions | p. 347 |
| Introduction | p. 347 |
| Hydrogen Molecule | p. 348 |
| Adiabatic Approximation | p. 353 |
| Hellmann-Feynman Theorem | p. 357 |
| Harmonic Elastic Moduli Based on Hellmann-Feynman Theorem | p. 360 |
| Categories of Interatomic Force Laws | p. 365 |
| Quantum Statistical Effects | p. 372 |
| Introduction | p. 372 |
| Quantum Statistical Mechanics | p. 372 |
| Quantum Statistical Effects in Crystals | p. 386 |
| Quantum Statistics for Polymer Models | p. 403 |
| Gaussian Wave Packet Dynamics | p. 406 |
| Canonical Ensemble in Terms of Coherent States | p. 412 |
| Quantum Effects on Rate Processes | p. 416 |
| References | p. 421 |
| Index | p. 431 |
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