| 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 |
