Page 6 - Electrical Properties of Materials

Contents

Data on specific materials in text xiii
Introduction xv

1 The electron as a particle
1.1 Introduction 1
1.2 The effect of an electric field—conductivity and Ohm’s law 2
1.3 The hydrodynamic model of electron flow 4
1.4 The Hall effect 5
1.5 Electromagnetic waves in solids 6
1.6 Waves in the presence of an applied magnetic field: cyclotron resonance 13
1.7 Plasma waves 16
1.8 Johnson noise 19
1.9 Heat 21
Exercises 23

2 The electron as a wave
2.1 Introduction 25
2.2 The electron microscope 28
2.3 Some properties of waves 29
2.4 Applications to electrons 31
2.5 Two analogies 33
Exercises 34

3 The electron

3.1 Introduction 36
3.2 Schrödinger’s equation 38
3.3 Solutions of Schrödinger’s equation 39
3.4 The electron as a wave 40
3.5 The electron as a particle 41
3.6 The electron meeting a potential barrier 41
3.7 Two analogies 44
3.8 The electron in a potential well 45
3.9 The potential well with a rigid wall 47
3.10 The uncertainty relationship 47
3.11 Philosophical implications 48
Exercises 50