Basic Concepts in Relativity and Early Quantum Theory

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Product Details

  • ISBN-13: 9780023993404
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 9/4/1991
  • Edition description: REV
  • Edition number: 2
  • Pages: 352
  • Product dimensions: 8.75 (w) x 0.50 (h) x 10.00 (d)

Table of Contents

Introduction to Chapters 1 to 3 1
Ch. 1 The Experimental Background of the Theory of Special Relativity 3
1-1 Introduction 3
1-2 Galilean Transformations 5
1-3 Newtonian Relativity 8
1-4 Electromagnetism and Newtonian Relativity 12
1-5 Attempts to Locate the Absolute Frame--The Michelson-Morley Experiment 13
1-6 Attempts to "Save the Ether"--The Lorentz-Fitzgerald Contraction 19
1-7 Attempts to "Save the Ether"--The Ether-Drag Hypothesis 21
1-8 Attempts to Modify Electrodynamics 25
1-9 The Postulates of Special Relativity Theory 26
1-10 Einstein and the Origin of Relativity Theory 29
Ch. 2 Relativistic Kinematics 39
2-1 The Relativity of Simultaneity 39
2-2 Derivation of the Lorentz Transformation Equations 44
2-3 Some Consequences of the Lorentz Transformation Equations 50
2-4 The Lorentz Equations--A More Physical Look 58
2-5 The Observer in Relativity 65
2-6 The Relativistic Addition of Velocities 66
2-7 Aberration and Doppler Effect in Relativity 70
2-8 The Common Sense of Special Relativity 76
Ch. 3 Relativistic Dynamics 93
3-1 Mechanics and Relativity 93
3-2 The Need to Redefine Momentum 93
3-3 Relativistic Momentum 95
3-4 The Relativistic Force Law and the Dynamics of a Single Particle 98
3-5 Some Experimental Results 105
3-6 The Equivalence of Mass and Energy 109
3-7 Relativity and Electromagnetism 115
Introduction to Chapters 4 to 7 125
Ch. 4 The Quantization of Energy 127
4-1 Introduction 127
4-2 Thermal Radiation 127
4-3 The Theory of Cavity Radiation 131
4-4 The Rayleigh-Jeans Radiation Law 134
4-5 The Quantization of Energy 136
4-6 Energy Quantization and the Heat Capacities of Solids 140
4-7 The Franck-Hertz Experiment 147
4-8 Epilogue 151
Ch. 5 The Particle Nature of Radiation 161
5-1 Introduction 161
5-2 The Photoelectric Effect 161
5-3 Einstein's Quantum Theory of the Photoelectric Effect 165
5-4 The Compton Effect 170
5-5 Pair Production 176
5-6 Photons Generated by Accelerating Charges 180
5-7 Photon Production by Pair Annihilation 184
Ch. 6 The Wave Nature of Matter and the Uncertainty Principle 195
6-1 Matter Waves 195
6-2 Testing the de Broglie Hypothesis 198
6-3 The Electron Microscope 204
6-4 The Wave-Particle Duality 208
6-5 The Uncertainty Principle 212
6-6 A Derivation of the Uncertainty Principle 218
6-7 Interpretation of the Uncertainty Principle 222
Ch. 7 Early Quantum Theory of the Atom 231
7-1 J.J. Thomson's Model of the Atom 231
7-2 The Nuclear Atom 233
7-3 The Stability of the Nuclear Atom 238
7-4 The Spectra of Atoms 239
7-5 The Bohr Atom 241
7-6 The Bohr Semiclassical Planetary Model of the One-Electron Atom 247
7-7 The Quantization of Angular Momentum 250
7-8 Correction for the Nuclear Mass 252
7-9 Bohr Theory--The High-Water Mark 256
7-10 Quantum Mechanics--A Preview 257
Supplementary Topic A: The Geometric Representation of Space Time 269
Supplementary Topic B: The Twin Paradox 281
Supplementary Topic C: The Principle of Equivalence and the General Theory of Relativity 291
Supplementary Topic D: The Radiancy and the Energy Density 305
Supplementary Topic E: Einstein's Derivation of Planck's Radiation Law 307
Supplementary Topic F: Debye's Theory of the Heat Capacity of Solids 311
Supplementary Topic G: Phase Speed and Group Speed 315
Supplementary Topic I [sic]: Rutherford Scattering 321
Answers to Problems 327
Appendixes 333
Index 335
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