Quantum Mechanics Fall 2010

Week 1

• Introduction
• Probability
• Quantum Mechanics and Probability
• Gaussian Integrals
• Complex Numbers

Week 2

• Wave Mechanics
• Time Independent Schrodinger Equation
• TISE Example

Week 3

• Infinite Square Well
• Infinite Square Well Part II
• Free Particle

Week 4

• Gaussian Wave Packets
• Waves and Particles Again
• Finite Step Potential
• Delta Function Potential
• DeBroglie Wavelengths and Steps

Week 5

• Finite Barrier
• Finite Well
• Postulates

Week 6

• Test 1 Review - Test 1 from 2008
• Vector Spaces
• Inner Products
• Linear Transformations

Week 7

• Dirac Notation
• Eigenvalues
• Final Topics in Linear Algebra
• Simple Harmonic Oscillator

Week 8

• Time Evolution of Averages
• More SHO
• Time Evolution
• Uncertainty Relation
• Complete Sets of Commuting Observable

Week 9

• Matrix Example
• Continuous Basis Sets

Week 10

• Simple Harmonic Oscillator Returns
• Three Dimensional Schrodinger Equation

Week 11

• Spherical Harmonics
• Radial Equation
• Hydrogen

Week 12

• Angular Momentum
• Angular Momentum Wave Functions

Week 13

• Angular Momentum Matrices
• Spin
• Larmor Precession
• Stern-Gerlach
• Clebsch-Gordon Table

Week 14

• Addition of Angular Momentum
• Clebsch-Gordon

Week 15

• Multiple Particle Systems
• Identical Particles
• Periodic Table

Week 16

• Perturbation Theory