| |
| |
Foreword | |
| |
| |
Preface | |
| |
| |
| |
Introduction | |
| |
| |
| |
The Postulates of the Special Theory of Relativity | |
| |
| |
| |
Time Dilation | |
| |
| |
| |
The Hafele-Keating Experiment | |
| |
| |
| |
Length Contraction | |
| |
| |
| |
The Unification of Electric and Magnetic Forces | |
| |
| |
| |
Lorentz Transformation | |
| |
| |
| |
Minkowski Diagrams | |
| |
| |
Examples | |
| |
| |
| |
Events | |
| |
| |
| |
Simultaneity | |
| |
| |
| |
World Lines | |
| |
| |
| |
Time Dilation | |
| |
| |
| |
Length Contraction | |
| |
| |
| |
Past, Future, Causality | |
| |
| |
| |
Speed Faster than Light | |
| |
| |
| |
Simultaneity | |
| |
| |
Problems for Part I | |
| |
| |
| |
Kinematics | |
| |
| |
| |
Transformation of Velocities | |
| |
| |
| |
Aberration of Light | |
| |
| |
| |
Transformation of Accelerations | |
| |
| |
| |
Accelerated Motion | |
| |
| |
| |
The Rocket-Rope Paradox (Bell's Paradox) | |
| |
| |
| |
Doppler Effect | |
| |
| |
| |
The Twin Paradox and k-Calculus | |
| |
| |
| |
Images of Fast Moving Objects | |
| |
| |
| |
Rotation and Lorentz Transformation | |
| |
| |
| |
Lorentz Transformation in Two and Three Spatial Directions | |
| |
| |
| |
The Rod-Through-The-Window Paradox | |
| |
| |
Problems for Part II | |
| |
| |
| |
Dynamics | |
| |
| |
| |
Mass and Momentum | |
| |
| |
| |
Motion of a Rocket | |
| |
| |
| |
Force | |
| |
| |
| |
Energy | |
| |
| |
| |
Energy-Momentum Equation and Diagrams | |
| |
| |
| |
Lorentz Transformation of Energy and Momentum | |
| |
| |
| |
Invariance and Distance in Three-Dimensional Space | |
| |
| |
| |
Invariance and Distance in Four-Dimensional Space-Time | |
| |
| |
Problems for Part III | |
| |
| |
| |
Four-Vectors and Electromagnetism | |
| |
| |
| |
Four-Vectors and Scalar Products | |
| |
| |
| |
Calculus with the Energy-Momentum Vector | |
| |
| |
Examples | |
| |
| |
| |
Completely Inelastic Collision of two Particles | |
| |
| |
| |
Production of a Proton-Antiproton Pair | |
| |
| |
| |
Absorption of a Photon by an Atom | |
| |
| |
| |
Emission of a Photon by an Atom | |
| |
| |
| |
Decay of a Particle at Rest into two Particles | |
| |
| |
| |
Production of an Electron-Positron Pair from a Photon (Pair Production) | |
| |
| |
| |
Dematerialization of an Electron-Positron Pair into two Photons (Pair Annihilation) | |
| |
| |
| |
Compton Effect | |
| |
| |
| |
Inverse Compton Effect | |
| |
| |
| |
Bremsstrahlung | |
| |
| |
| |
Four-Velocity and Four-Acceleration | |
| |
| |
| |
The Angular Frequency-Wave Number Vector | |
| |
| |
| |
The Charge Density-Current Density Vector | |
| |
| |
| |
The Power-Force Vector (Minkowski Force) | |
| |
| |
| |
Transformation of Electric and Magnetic Fields | |
| |
| |
| |
Fields of a Passing Point Charge | |
| |
| |
| |
The Shape Invariance of Maxwell's Equations | |
| |
| |
Problems for Part IV | |
| |
| |
Solutions | |
| |
| |
Further Reading | |
| |
| |
Index | |