| Lec # | TOPICS | KEY DATES |
|---|---|---|
| 1-4 |
Experimental Evidence for Quantum Mechanics Polarization of Light Single Molecule Fluorescence |
|
| 5-7 |
The Machinery of Quantum Mechanics Hilbert Space State Vectors Bra-Ket Operators and Eigenvalues |
|
| 8-12 |
Exactly Solvable Problems Operators and States in Real Space Harmonic Oscillator Position Representation and Wave Mechanics Piecewise Constant Potentials |
Problem set 1 due after Lec #8 Problem set 2 due after Lec #11 |
| 13-15 |
Matrix Mechanics Vector Representation of States Matrices as Operators Interesting Matrix Properties Discrete Variable Representation Variational Method |
Problem set 3 due after Lec #14 Problem set 4 due after Lec #17 |
| 16-18 |
Time Dependence Energy Eigenstates and Stationary States The Propagator Time Dependence of Average Values Matrix Representations of the Propagator Example: Inversion of the Ammonia Molecule |
Midterm exam handed out after Lec #18 |
| 19-20 |
Angular Momentum Rotations Commutation Relations Eigenstates |
|
| 21-22 |
Central Potentials Spherical Polar Coordinates Orbital Angular Momentum Operators Spherical Harmonics The Radial Equation Hydrogen-like Atoms Electron Spin |
Midterm exam due after Lec #21 |
| 23-24 |
Addition of Angular Momenta Coupled and Uncoupled Bases Recursion Relations The Triangle Rule |
|
| 25 |
Wigner-Eckart Theorem Spherical Tensors |
|
| 26-28 | Perturbation Theory | Problem set 5 due after Lec #27 |
| 29-31 |
Identical Particles The Product Basis Symmetry Under Exchange Two Electron Atoms Hartree-Fock Perturbation Theory Configuration Interaction |
Problem set 5 due after Lec #31 |
| 32-34 |
The Born-Oppenheimer Approximation The Adiabatic Approximation The Coupled Channel Hamiltonian Non-Adiabatic Effects Diabatic States Electron Transfer |
|
| 35-38 |
The Hydrogen Molecule Minimal Atomic Orbital Basis Molecular Orbital Picture Valence Bond Picture |
Problem set 7 due after Lec #35 Final exam after Lec #38 |