Introduction......Page 5
Mass on a Spring......Page 7
Simple Harmonic Oscillator Equation......Page 12
LC Circuit......Page 14
Simple Pendulum......Page 18
Exercises......Page 20
Damped Harmonic Oscillation......Page 23
Quality Factor......Page 26
LCR Circuit......Page 28
Driven Damped Harmonic Oscillation......Page 29
Driven LCR Circuit......Page 34
Transient Oscillator Response......Page 36
Exercises......Page 40
Two Spring-Coupled Masses......Page 43
Two Coupled LC Circuits......Page 48
Three Spring Coupled Masses......Page 51
Exercises......Page 53
Normal Modes of a Beaded String......Page 55
Normal Modes of a Uniform String......Page 63
General Time Evolution of a Uniform String......Page 69
Exercises......Page 76
Spring Coupled Masses......Page 81
Sound Waves in an Elastic Solid......Page 86
Sound Waves in an Ideal Gas......Page 91
Fourier Analysis......Page 94
Exercises......Page 100
Standing Waves in a Finite Continuous Medium......Page 103
Traveling Waves in an Infinite Continuous Medium......Page 104
Wave Interference......Page 107
Energy Conservation......Page 109
Transmission Lines......Page 113
Reflection and Transmission at Boundaries......Page 115
Electromagnetic Waves......Page 122
Exercises......Page 127
Fourier Transforms......Page 131
General Solution of the Wave Equation......Page 137
Bandwidth......Page 142
Exercises......Page 148
Pulse Propagation......Page 151
Electromagnetic Wave Propagation in Plasmas......Page 154
Electromagnetic Wave Propagation in Conductors......Page 161
Surface Wave Propagation in Water......Page 165
Exercises......Page 170
Plane Waves......Page 173
Laws of Geometric Optics......Page 175
Waveguides......Page 178
Cylindrical Waves......Page 180
Exercises......Page 181
Two-Slit Interference......Page 183
Coherence......Page 191
Multi-Slit Interference......Page 197
Fourier Optics......Page 202
Single-Slit Diffraction......Page 203
Multi-Slit Diffraction......Page 206
Exercises......Page 208
Introduction......Page 213
Photoelectric Effect......Page 214
Representation of Waves via Complex Numbers......Page 216
Schrödinger's Equation......Page 219
Probability Interpretation of the Wavefunction......Page 220
Wave Packets......Page 223
Heisenberg's Uncertainty Principle......Page 227
Collapse of the Wavefunction......Page 228
Stationary States......Page 230
Three-Dimensional Wave Mechanics......Page 234
Particle in a Finite Potential Well......Page 237
Square Potential Barrier......Page 241
Exercises......Page 243
Trigonometric Identities......Page 247
Power Series......Page 248