| 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 |