1. What's It All About? A Qualitative Review
   • Classical versus Quantum Points of View
   • Waves versus Particles
   • Duality and the Double Slit
2. Starting from Scratch
   • The State Function and Its Interpretation
   • Introduction to the Mathematics of Dirac Bra and Ket Notation
   • Wave Packets in One Dimension
   • A Quantum Equation of Motion: The Time-Dependent Schrödinger Equation
   • The Time-Independent Schrödinger Equation
3. Examples, Examples, Examples
   • States of a Particle in One Dimension I: Piecewise-Constant Potentials
     1. Bound versus Unbound States
     2. Tunnelling for Fun and Profit
     3. Bound States of the Finite Square Well
   • States of a Particle in One Dimension II: Continuous Potentials
     1. Curvature is the Key
     2. The Stationary States of an Arbitrary Potential
     3. The Quantum Simple Harmonic Oscillator
     4. The Incredible Sloshing Oscillator
4. Tools of the Trade: More Formalism
   • Operators in Quantum Mechanics I: The Importance of Being Hermitian
     1. Mathematics of Quantum-Mechanical Operators
     2. All About Eigenvalue Equations
     3. Consequences of Hermiticity
   • Operators in Quantum Mechanics II: To Commute or not to Commute
     1. Simultaneous Eigenstates and the Commutator
     2. Matrix Representations of Operators
     3. Commutators and Uncertainty Principles
     4. Constants of the Motion in Classical and Quantum Physics
   • Eigenfunction Expansions: How to Solve Any Problem in Quantum Mechanics
   • Altered States: The Great Measurement Mystery
5. Final Topics
   • The Hydrogen Atom
   • An Introduction to Perturbation Theory
   • Why You Need a Second Semester of Quantum Mechanics

Page last modified 8/10/97

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