Efnisyfirlit

• About the Author
• Contents at a Glance
• Table of Contents
• Introduction
  • About This Book
  • Conventions Used in This Book
  • Foolish Assumptions
  • How This Book Is Organized
  • Icons Used in This Book
  • Where to Go from Here
• Part I: Small World, Huh? Essential Quantum Physics
  • Chapter 1: Discoveries and Essential Quantum Physics
    • Being Discrete: The Trouble with Black-Body Radiation
    • The First Pieces: Seeing Light as Particles
    • A Dual Identity: Looking at Particles as Waves
    • You Can’t Know Everything (But You Can Figure the Odds)
  • Chapter 2: Entering the Matrix: Welcome to State Vectors
    • Creating Your Own Vectors in Hilbert Space
    • Making Life Easier with Dirac Notation
    • Grooving with Operators
    • Going Hermitian with Hermitian Operators and Adjoints
    • Forward and Backward: Finding the Commutator
    • Starting from Scratch and Ending Up with Heisenberg
    • Eigenvectors and Eigenvalues: They’re Naturally Eigentastic!
    • Preparing for the Inversion: Simplifying with Unitary Operators
    • Comparing Matrix and Continuous Representations
• Part II: Bound and Undetermined: Handling Particles in Bound States
  • Chapter 3: Getting Stuck in Energy Wells
    • Looking into a Square Well
    • Trapping Particles in Potential Wells
    • Trapping Particles in Infinite Square Potential Wells
    • Limited Potential: Taking a Look at Particles and Potential Steps
    • Hitting the Wall: Particles and Potential Barriers
    • Particles Unbound: Solving the Schrödinger Equation for Free Particles
  • Chapter 4: Back and Forth with Harmonic Oscillators
    • Grappling with the Harmonic Oscillator Hamiltonians
    • Creation and Annihilation: Introducing the Harmonic Oscillator Operators
    • Finding the Eigenstates
    • Looking at Harmonic Oscillator Operators as Matrices
    • A Jolt of Java: Using Code to Solve the Schrödinger Equation Numerically
• Part III: Turning to Angular Momentum and Spin
  • Chapter 5: Working with Angular Momentum on the Quantum Level
    • Ringing the Operators: Round and Round with Angular Momentum
    • Finding Commutators of Lx, Ly, and Lz
    • Creating the Angular Momentum Eigenstates
    • Finding the Angular Momentum Eigenvalues
    • Finding the Eigenvalues of the Raising and Lowering Operators
    • Interpreting Angular Momentum with Matrices
    • Rounding It Out: Switching to the Spherical Coordinate System
  • Chapter 6: Getting Dizzy with Spin
    • The Stern-Gerlach Experiment and the Case of the Missing Spot
    • Getting Down and Dirty with Spin and Eigenstates
    • Halves and Integers: Saying Hello to Fermions and Bosons
    • Spin Operators: Running Around with Angular Momentum
    • Working with Spin 1/2 and Pauli Matrices
• Part IV: Multiple Dimensions: Going 3D with Quantum Physics
  • Chapter 7: Rectangular Coordinates: Solving Problems in Three Dimensions
    • The Schrödinger Equation: Now in 3D!
    • Solving Three-Dimensional Free Particle Problems
    • Getting Squared Away with 3D Rectangular Potentials
    • Springing into 3D Harmonic Oscillators
  • Chapter 8: Solving Problems in Three Dimensions: Spherical Coordinates
    • A New Angle: Choosing Spherical Coordinates Instead of Rectangular
    • Taking a Good Look at Central Potentials in 3D
    • Handling Free Particles in 3D with Spherical Coordinates
    • Handling the Spherical Square Well Potential
    • Getting the Goods on Isotropic Harmonic Oscillators
  • Chapter 9: Understanding Hydrogen Atoms
    • Coming to Terms: The Schrödinger Equation for the Hydrogen Atom
    • Simplifying and Splitting the Schrödinger Equation for Hydrogen
    • Solving for (R)
    • Solving for (r)
    • Calculating the Energy Degeneracy of the Hydrogen Atom
    • Hunting the Elusive Electron
  • Chapter 10: Handling Many Identical Particles
    • Many-Particle Systems, Generally Speaking
    • A Super-Powerful Tool: Interchange Symmetry
    • Floating Cars: Tackling Systems of Many Distinguishable Particles
    • Juggling Many Identical Particles
    • Building Symmetric and Antisymmetric Wave Functions
    • Working with Identical Noninteracting Particles
    • It’s Not Come One, Come All: The Pauli Exclusion Principle
    • Figuring out the Periodic Table
• Part V: Group Dynamics: Introducing Multiple Particles
  • Chapter 11: Giving Systems a Push: Perturbation Theory
    • Introducing Time-Independent Perturbation Theory
    • Working with Perturbations to Nondegenerate Hamiltonians
    • Perturbation Theory to the Test: Harmonic Oscillators in Electric Fields
    • Working with Perturbations to Degenerate Hamiltonians
    • Testing Degenerate Perturbation Theory: Hydrogen in Electric Fields
  • Chapter 12: Wham-Blam! Scattering Theory
    • Introducing Particle Scattering and Cross Sections
    • Translating between the Center-of-Mass and Lab Frames
    • Tracking the Scattering Amplitude of Spinless Particles
    • The Born Approximation: Rescuing the Wave Equation
• Part VI: The Part of Tens
  • Chapter 13: Ten Quantum Physics Tutorials
    • An Introduction to Quantum Mechanics
    • Quantum Mechanics Tutorial
    • Grains of Mystique: Quantum Physics for the Layman
    • Quantum Physics Online Version 2.0
    • Todd K. Timberlake’s Tutorial
    • Physics 24/7’s Tutorial
    • Stan Zochowski’s PDF Tutorials
    • Quantum Atom Tutorial
    • College of St. Benedict’s Tutorial
    • A Web-Based Quantum Mechanics Course
  • Chapter 14: Ten Quantum Physics Triumphs
    • Wave-Particle Duality
    • The Photoelectric Effect
    • Postulating Spin
    • Differences between Newton’s Laws and Quantum Physics
    • Heisenberg Uncertainty Principle
    • Quantum Tunneling
    • Discrete Spectra of Atoms
    • Harmonic Oscillator
    • Square Wells
    • Schrödinger’s Cat
• Glossary
• Index

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