Introduction to electromagnetic theory and the physics of conducting solids

Preface......Page 6
Contents......Page 8
Part I: The Physics of Conducting Solids......Page 12
  1.1 States of Matter......Page 13
  1.2 Amorphous and Crystalline Solids......Page 14
  1.3 Rutherford´s Atomic Model......Page 16
  1.4 Bohr´s Model for the Hydrogen Atom......Page 18
  1.5 Multielectron Atoms......Page 20
  1.6 Molecules......Page 24
  1.7 Energy Bands of Crystalline Solids......Page 25
  1.8 Band Formation in Tetravalent Crystals......Page 29
  Questions......Page 30
  References......Page 31
  2.2 Conductors and Insulators......Page 32
  2.3 Semiconductors......Page 35
  2.4 Ohm´s Law for Metals......Page 37
  2.5 Ohm´s Law for Semiconductors......Page 40
  2.6 Temperature Dependence of Conductivity......Page 42
  2.7 Semiconductors Doped with Impurities......Page 44
  2.8 Mass-Action Law......Page 46
  2.9 Semiconductors with Mixed Impurities......Page 48
  2.10 Diffusion Currents in Semiconductors......Page 49
  Questions......Page 51
  References......Page 52
  3.1 Some Basic Concepts from Statistical Physics......Page 53
  3.2 Maxwell-Boltzmann Distribution Law for an Ideal Gas......Page 55
  3.3 Quantum Statistics......Page 57
  3.4 Fermi-Dirac Distribution Law......Page 58
  3.5 Fermi Energy of a Metal......Page 61
  3.6 Fermi-Dirac Distribution for an Intrinsic Semiconductor......Page 63
  3.7 Fermi Energy in Semiconductors......Page 65
  Questions......Page 68
  References......Page 69
Part II: Electromagnetic Fields and Waves......Page 70
  4.1 Vector Fields and Vector Operators......Page 71
  4.2 Integral Theorems......Page 75
  4.3 Irrotational and Solenoidal Vector Fields......Page 78
   4.3.1 Geometrical Meaning......Page 80
  4.4 Conservative Force Fields......Page 81
  Questions......Page 82
  References......Page 83
  5.1 Coulomb´s Law and Electric Field......Page 84
  5.2 Gauss´ Law......Page 86
  5.3 Electrostatic Potential......Page 90
  5.4 Poisson and Laplace Equations......Page 94
  5.5 Electrostatic Potential Energy......Page 95
  5.6 Metallic Conductor in Electrostatic Equilibrium......Page 97
  Questions......Page 99
  Problems......Page 100
  References......Page 108
  6.1 Current Density......Page 109
  6.2 Equation of Continuity and Conservation of Charge......Page 113
  6.3 Ohm´s Law......Page 115
  Questions......Page 117
  Problems......Page 118
  References......Page 119
  7.1 The Magnetic Field and the Biot-Savart Law......Page 120
  7.2 Gauss´ Law for Magnetism......Page 123
  7.3 Ampère´s Law......Page 124
  Questions......Page 126
  Problems......Page 127
  References......Page 131
  8.1 Electric and Magnetic Dipole Moments......Page 132
  8.2 Electric Polarization......Page 134
  8.3 Magnetization......Page 138
  8.4 Applications......Page 141
  Problems......Page 144
  References......Page 147
  9.1 Introduction......Page 148
  9.2 Electromotive Force......Page 149
  9.3 The Faraday-Henry Law......Page 152
  9.4 The Ampère-Maxwell Law......Page 155
  9.5 The Maxwell Equations......Page 156
  9.6 Conservation of Charge......Page 159
  9.7 Electromagnetic Potentials......Page 161
  9.8 The Energy of the E/M Field and the Poynting Vector......Page 162
  Problems......Page 166
  References......Page 180
  10.1 The Wave Equation......Page 182
  10.2 Harmonic Wave......Page 185
  10.3 Plane Waves in Space......Page 186
  10.4 Electromagnetic Waves......Page 190
  10.5 Monochromatic Plane E/M Wave in Empty Space......Page 194
  10.6 Plane E/M Waves of General Form......Page 198
  10.7 Frequency Dependence of Wave Speed......Page 199
  10.8 Traveling and Standing Waves......Page 201
  10.9 Propagation of E/M Waves in a Conducting Medium......Page 204
  10.10 Reflection of an E/M Wave on the Surface of a Conductor......Page 209
  10.11 Electromagnetic Radiation......Page 210
  10.12 Radiation from an Accelerating Point Charge......Page 212
  10.13 Electric Dipole Radiation......Page 214
  10.14 Magnetic Dipole Radiation......Page 216
  10.15 The Spectrum of E/M Radiation......Page 217
  10.16 Absorption of E/M Radiation by Non-Conducting Media......Page 218
  10.17 Plasma Frequency of a Conducting Medium......Page 219
  Questions......Page 222
  Problems......Page 223
  References......Page 235
 Appendix A: A Note on the System of Units......Page 237
 Appendix B: A Remark on the Charging Capacitor......Page 239
 Appendix C: Classical and Quantum Theory of Conduction......Page 241
  Reference for Appendix C......Page 242
Bibliography......Page 243
Index......Page 245