| Lec # | TOPICS | 
|---|---|
| 1-4 | Experimental Evidence for Quantum Mechanics (PDF) Polarization of Light Single Molecule Fluorescence  | 
| 5-7 | The Machinery of Quantum Mechanics (PDF)#  Hilbert Space State Vectors Bra-Ket Operators and Eigenvalues  | 
| 8-12 | Exactly Solvable Problems (PDF)#  Operators and States in Real Space Harmonic Oscillator Position Representation and Wave Mechanics Piecewise Constant Potentials  | 
| 13-15 | Matrix Mechanics (PDF) Vector Representation of States Matrices as Operators Interesting Matrix Properties Discrete Variable Representation Variational Method  | 
| 16-18 | Time Dependence (PDF) Energy Eigenstates and Stationary States The Propagator Time Dependence of Average Values Matrix Representations of the Propagator Example: Inversion of the Ammonia Molecule  | 
| 19-20 | Angular Momentum (PDF) Rotations Commutation Relations Eigenstates  | 
| 21-22 | Central Potentials (PDF)# Spherical Polar Coordinates Orbital Angular Momentum Operators Spherical Harmonics The Radial Equation Hydrogen-like Atoms Electron Spin  | 
| 23-24 | Addition of Angular Momenta (PDF)# Coupled and Uncoupled Bases Recursion Relations The Triangle Rule  | 
| 25 | Wigner-Eckart Theorem (PDF) Spherical Tensors  | 
| 26-28 | Perturbation Theory (PDF)# | 
| 29-31 | Identical Particles (PDF)# The Product Basis Symmetry Under Exchange Two Electron Atoms Hartree-Fock Perturbation Theory Configuration Interaction  | 
| 32-34 | The Born-Oppenheimer Approximation (PDF)# The Adiabatic Approximation The Coupled Channel Hamiltonian Non-Adiabatic Effects Diabatic States Electron Transfer  | 
| 35-38 | The Hydrogen Molecule (PDF)#  Minimal Atomic Orbital Basis Molecular Orbital Picture Valence Bond Picture  |