6 Thermoelasticity 1
6.1 Introduction 1
6.2 The Conservation Law of Energy and the Entropy Inequality 2
6.3 Constitutive Relations in Thermoelasticity 9
6.4 System of Thermoelastodynamics and Its Mathematical Structure 17
6.5 Propagation of Acceleration Waves 27
Exercises 32
Bibliography 34
7 Viscoelasticity 35
7.1 Introduction 35
7.2 Constitutive Equations of Viscoelastic Materials and the Dissipation Inequality 40
7.3 System of Viscoelastodynamics and Its Well-Posed Problems 61
7.4 Singularity of the Kernel and the Propagation of Linear Waves 72
7.5 Propagation of Acceleration Wayes 80
Exercises 84
Bibliography 86
8 Kinetic Theory of Gases 89
8.1 Introduction 89
8.2 Boltzmann Equation 90
8.3 Equilibrium State of Dilute Gases 102
8.4 Conservation Laws 109
8.5 Zero-Order Approximation 114
8.6 First-Order Approximation 117
8.7 Vlasov Equation and Related Coupled Systems 127
Exercises 139
Bibliography 140
9 Special Relativity and Relativistic Fluid Dynamics 141
9.1 Introduction 141
9.2 Fundamental Principles in Special Relativity；the Lorentz Transformation 144
9.3 Space-Time Theory in Special Relativity 152
9.4 Relativistic Dynamics 160
9.5 Relativistic Fluid Dynamics 169
9.6 Mathematical Structure of the System of Relativistic Fluid Dynamics 177
9.7 System of Relativistic Magnetohydrodynamics 187
Exercises 198
Bibliography 201
10 Quantum Mechanics 203
10.1 Establishment of Quantum Mechanics 203
10.2 Schr?dinger Equation and Wave Function 211
10.3 Introduction to the Fundamental Principles of Quantum Mechanics 228
10.4 Relativistic Quantum Mechanics and the Dirac Equation 233
Exercises 257
Bibliography 259
Appendix C Tensors in Minkowski Four-Space-Time 261
C.1 Minkowski Four-Space-Time and the Lorentz Transformation 261
C.2 Tensors in Minkowski Four-Space-Time 263
C.3 Operations of Tensors 265
C.4 Covariant Derivatives of Tensors 266
Index 269