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Preface to June 2004
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A Radically Modern Approach
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A Radically Modern Approach
Contents
Preface to June 2004 Edition
Waves in One Dimension
Transverse and Longitudinal Waves
Sine Waves
Types of Waves
Ocean Surface Waves
Sound Waves
Light
Superposition Principle
Beats
Interferometers
The Michelson Interferometer
Thin Films
Math Tutorial -- Derivatives
Group Velocity
Derivation of Group Velocity Formula
Examples
Problems
Waves in Two and Three Dimensions
Math Tutorial -- Vectors
Plane Waves
Superposition of Plane Waves
Two Waves of Identical Wavelength
Two Waves of Differing Wavelength
Many Waves with the Same Wavelength
Diffraction Through a Single Slit
Two Slits
Diffraction Gratings
Problems
Geometrical Optics
Reflection and Refraction
Total Internal Reflection
Anisotropic Media
Thin Lens Formula and Optical Instruments
Fermat's Principle
Problems
Kinematics of Special Relativity
Galilean Spacetime Thinking
Spacetime Thinking in Special Relativity
Postulates of Special Relativity
Simultaneity
Spacetime Pythagorean Theorem
Time Dilation
Lorentz Contraction
Twin Paradox
Problems
Applications of Special Relativity
Waves in Spacetime
Math Tutorial - Four-Vectors
Principle of Relativity Applied
Characteristics of Relativistic Waves
The Doppler Effect
Addition of Velocities
Problems
Acceleration and General Relativity
Acceleration
Circular Motion
Acceleration in Special Relativity
Acceleration, Force, and Mass
Accelerated Reference Frames
Gravitational Red Shift
Event Horizons
Problems
Matter Waves
Bragg's Law
X-Ray Diffraction Techniques
Single Crystal
Powder Target
Meaning of Quantum Wave Function
Sense and Nonsense in Quantum Mechanics
Mass, Momentum, and Energy
Planck, Einstein, and de Broglie
Wave and Particle Quantities
Non-Relativistic Limits
An Experimental Test
Heisenberg Uncertainty Principle
Problems
Geometrical Optics and Newton's Laws
Fundamental Principles of Dynamics
Pre-Newtonian Dynamics
Newtonian Dynamics
Quantum Dynamics
One-Dimensional Non-Relativistic Case
Potential Energy
Gravity as a Conservative Force
Work and Power
Math Tutorial - Partial Derivatives
Motion in Two and Three Dimensions
Kinetic and Potential Momentum
Problems
Wave Mechanics
Math Tutorial -- Complex Waves
Free Particle Wave Function
Effects of Varying Potential Energy
Confined Particles
Particle in a Box
Barrier Penetration
Orbital Angular Momentum
Spin Angular Momentum
Problems
Dynamics of Multiple Particles
Momentum and Newton's Second Law
Newton's Third Law
Conservation of Momentum
Collisions
Elastic Collisions
Inelastic Collisions
Rockets and Conveyor Belts
Problems
Rotational Dynamics
Math Tutorial -- Cross Product
Torque and Angular Momentum
The Uneven Dumbbell
Two Particles in General
Many Particles
Rigid Bodies
Statics
Problems
Harmonic Oscillator
Energy Analysis
Analysis Using Newton's Laws
Forced Oscillator
Quantum Mechanical Harmonic Oscillator
Problems
Newton's Law of Gravitation
The Law of Gravitation
Gravitational Field
Gravitational Flux
Flux from Multiple Masses
Effects of Relativity
Kepler's Laws
Use of Conservation Laws
Problems
Forces in Relativity
Potential Momentum
Aharonov-Bohm Effect
Forces from Potential Momentum
Refraction Effect
Time-Varying Potential Momentum
Lorentz Condition
Gauge Theories and Other Theories
Conservation of Four-Momentum Again
Virtual Particles
Virtual Particles and Gauge Theory
Negative Energies and Antiparticles
Problems
Electromagnetic Forces
Electromagnetic Four-Potential
Electric and Magnetic Fields and Forces
A Note on Units
Charged Particle Motion
Particle in Constant Electric Field
Particle in Conservative Electric Field
Torque on an Electric Dipole
Particle in Constant Magnetic Field
Crossed Electric and Magnetic Fields
Forces on Currents in Conductors
Torque on a Magnetic Dipole and Electric Motors
Electric Generators and Faraday's Law
EMF and Scalar Potential
Problems
Generation of Electromagnetic Fields
Coulomb's Law and the Electric Field
Gauss's Law for Electricity
Sheet of Charge
Line of Charge
Gauss's Law for Magnetism
Coulomb's Law and Relativity
Moving Charge and Magnetic Fields
Moving Line of Charge
Moving Sheet of Charge
Electromagnetic Radiation
The Lorentz Condition
Problems
Capacitors, Inductors, and Resistors
The Capacitor and Ampère's Law
The Capacitor
Circulation of a Vector Field
Ampère's Law
Magnetic Induction and Inductors
Resistance and Resistors
Energy of Electric and Magnetic Fields
Kirchhoff's Laws
Problems
Measuring the Very Small
Continuous Matter or Atoms?
The Ring Around the Moon
The Geiger-Marsden Experiment
Cosmic Rays and Accelerator Experiments
Early Cosmic Ray Results
Particle Accelerators
Size and Structure of the Nucleus
Deep Inelastic Scattering of Electrons from Protons
Storage Rings and Colliders
Proton-Antiproton Collisions
Electron-Positron Collisions
Commentary
Problems
Atoms
Fermions and Bosons
Review of Angular Momentum in Quantum Mechanics
Two Particle Wave Functions
The Hydrogen Atom
The Periodic Table of the Elements
Atomic Spectra
Problems
The Standard Model
Quarks and Leptons
Quantum Chromodynamics
The Electroweak Theory
Grand Unification?
Problems
Atomic Nuclei
Molecules -- an Analogy
Nuclear Binding Energies
Radioactivity
Nuclear Fusion and Fission
Problems
Heat, Temperature, and Friction
Temperature
Heat
Specific Heat
First Law of Thermodynamics
Heat Conduction
Thermal Radiation
Friction
Frictional Force Between Solids
Viscosity
Problems
Entropy
States of a Brick
Second Law of Thermodynamics
Two Bricks in Thermal Contact
Thermodynamic Temperature
Specific Heat
Entropy and Heat Conduction
Problems
The Ideal Gas and Heat Engines
Ideal Gas
Particle in a Three-Dimensional Box
Counting States
Multiple Particles
Entropy and Temperature
Work, Pressure, and Gas Law
Specific Heat of an Ideal Gas
Slow and Fast Expansions
Heat Engines
Perpetual Motion Machines
Problems
Constants
Constants of Nature
Properties of Stable Particles
Properties of Solar System Objects
Miscellaneous Conversions
GNU Free Documentation License
Applicability and Definitions
Verbatim Copying
Copying in Quantity
Modifications
Combining Documents
Collections of Documents
Aggregation With Independent Works
Translation
Termination
Future Revisions of This License
History
David Raymond 2006-04-07