## Research Papers in Physics and Astronomy

#### Date of this Version

January 1964

#### Abstract

It is the purpose of this book to provide an introduction to the Special Theory of Relativity which is accessible to any student who has had an introduction to general physics and some slight acquaintance with the calculus. Much of the material is at a level suitable for high school students who have had advanced placement in physics and mathematics. Since some of the exposition, particularly part of Chapter 6, is presented here in book form for the first time, even terminal graduate students in physics may find the material profitable.

The Galilean Transformation

The Inertial Frame, 9; The Galilean Transformation, 11; The Speed of Light, 17; The Special Theory of Relativity, 24; The Rod Clock, 25

2 The Lorentz Transformation

The Lorentz Transformation, 29; Simultaneity and Time Sequence, 31; Time Dilation, 33; Lorentz Contraction, 34; Velocity Transformations, 37; The Fizeau Experiment, 38; Aberration, 40; Visual Appearance of Rapidly Moving Objects, 44; Transformation of Acceleration, 48

3 Force and Motion

Introduction, 51; Newton's Second Law, 53; The Equivalence Principle, 56; Transformation of Forces, 58

4 Energy and Momentum

Work, 61; Kinetic Energy (Nonrelativistic), 63; Kinetic Energy (Relativistic), 64; Conservation of Linear Momentum, 68; Center of Mass (Nonrelativistic), 71; Transformation of Momentum and Energy (Relativistic). 75; Center of Mass (Relativistic). 78

5 Some Relativistic Phenomena

Pair Production and Annihilation, 83; Compton Effect, 85; Threshold for 7To Meson Production, 87; Doppler Effect, 89; Relativistic Dynamics, 92; Gravitation and Light, 96

6 Relativity and Electromagnetism 103

Introduction, 103; The Lorentz Force, 105; Magnetization and Polarization, 106; Transformations of Fields and Flux Densities, 108; Electromagnetic Induction, 110; Field of a Moving Charge, 114; Transformation of Polarization and Magnetization, 117; The Unipolar Generator, 121; Postscript, 123

General Bibliography 127

Index 129

## Comments

Published, copyright © 1964 D. Van Nostrand Company, Inc. Electronic edition published, copyright © 2008 Robert Katz.