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Lecture files.
| 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 |