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 |