Chapter

Survey of Solid State Physics

2.1. Introduction 23

2.2. Short review of quantum mechanics 24

2.2.1. Wave-particle duality and the Heisenberg principle 24

2.2.2. Schrödinger wave equation. Applications 26

2.2.3. Fermi-Dirac and Bose-Einstein distributions 28

2.2.4. Perturbation methods 29

2.3. Free electron model of a solid. Density of states function 31

2.4. Bloch theorem 34

2.5. Electrons in crystalline solids 35

2.5.1. Nearly free electron model 35

2.5.2. Tight binding approximation 37

2.6. Dynamics of electrons in bands 40

2.6.1. Equation of motion 40

2.6.2. Effective mass 41

2.7. Lattice vibrations 45

2.7.1. One-dimensional lattice 45

2.7.2. Three-dimensional lattice 49

2.8. Phonons 50 References 51 Further Reading 51 Problems 51

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