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Introduction
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OSCILLATIONS AND WAVES
Oscillations and Waves
Richard Fitzpatrick
Professor of Physics
The University of Texas at Austin
Introduction
Simple Harmonic Oscillation
Mass on a Spring
Simple Harmonic Oscillator Equation
Circuit
Simple Pendulum
Exercises
Damped and Driven Harmonic Oscillation
Damped Harmonic Oscillation
Quality Factor
Circuit
Driven Damped Harmonic Oscillation
Driven
Circuit
Transient Oscillator Response
Exercises
Coupled Oscillations
Two Spring-Coupled Masses
Two Coupled
Circuits
Three Spring Coupled Masses
Exercises
Transverse Standing Waves
Normal Modes of a Beaded String
Normal Modes of a Uniform String
General Time Evolution of a Uniform String
Exercises
Longitudinal Standing Waves
Spring Coupled Masses
Sound Waves in an Elastic Solid
Sound Waves in an Ideal Gas
Fourier Analysis
Exercises
Traveling Waves
Standing Waves in a Finite Continuous Medium
Traveling Waves in an Infinite Continuous Medium
Wave Interference
Energy Conservation
Transmission Lines
Reflection and Transmission at Boundaries
Electromagnetic Waves
Exercises
Wave Pulses
Fourier Transforms
General Solution of the Wave Equation
Bandwidth
Exercises
Dispersive Waves
Pulse Propagation
Electromagnetic Wave Propagation in Plasmas
Electromagnetic Wave Propagation in Conductors
Surface Wave Propagation in Water
Exercises
Multi-Dimensional Waves
Plane Waves
Three-Dimensional Wave Equation
Laws of Geometric Optics
Waveguides
Cylindrical Waves
Exercises
Wave Optics
Introduction
Two-Slit Interference
Coherence
Multi-Slit Interference
Fourier Optics
Single-Slit Diffraction
Multi-Slit Diffraction
Exercises
Wave Mechanics
Introduction
Photoelectric Effect
Electron Diffraction
Representation of Waves via Complex Numbers
Schrödinger's Equation
Probability Interpretation of the Wavefunction
Wave Packets
Heisenberg's Uncertainty Principle
Collapse of the Wavefunction
Stationary States
Three-Dimensional Wave Mechanics
Particle in a Finite Potential Well
Square Potential Barrier
Exercises
Useful Information
Physical Constants
Trigonometric Identities
Calculus
Power Series
About this document ...
Richard Fitzpatrick 2009-07-28
Circuit
Circuit