Calendar

LEC # TOPICS KEY DATES
1

Time-Independent Hamiltonian

Two-Level System

Density Matrix

2 Quantum Dynamics; Time-Evolution Operator
3 Schrödinger/Heisenberg/Interaction Pictures
4 Time-development of State Amplitudes/Resonant Driving of Two-Level System
5 Perturbation Theory Problem set 1 due
6

Fermi's Golden Rule

Supplement: Slowly Applied Perturbation

7 Irreversible Relaxation
8

Interaction of Light and Matter

Supplement: Review of Electromagnetic Fields

Problem set 2 due

9 Time-Correlation Functions Problem set 3 due
10 Absorption Lineshape from Time-Correlation Functions
11 Electronic Spectroscopy: The Displaced Harmonic Oscillator Model
12 Lineshapes: Fluctuation and Relaxation
13 Förster Theory and Marcus Theory Problem set 4 due
14 Angular Momentum in Spherical Tensor Operations
15 3-j and 6-j Coefficients
16 Hund's Coupling Cases: Transformations of Basis Set
17 Bright State, Dark State, Pluck Problem set 5 due
18 Frequency Domain Spectrum as FT of Autocorrelation Function
19 Dynamical Quantities: Visualization of Dynamics
20 Motion of Center of Wavepacket Problem set 6 due
21 Resonance Operators: Equation of Motion
22 From Quantum Beats to Wavepackets
23

Types of Wavepacket

Supplement: Stationary Phase for Vibration-Electronic Spectra and Heller's Fractionation Index

24 Complex Energy Heff: Nondegenerate Perturbation Theory Problem set 7 due
25

Quasi-degenerate Perturbation Theory

Strong and Weak Coupling Limits

26 Polyads, a, a+, N
27 Dynamics in State Space and in Q, P Space
28

Chem Phys Lett 320 (2000): 553

Visualizing IVR

29 Normal - Local Modes: Classical, Morse, Minimal Model Problem set 8 and 9 due
30 Normal - Local Modes: 6-Parameter Models
31 From Quantum Mechanical Heff to Classical Mechanical Heff
32

IVR, ISC, IC

Extra Topics

Diabatic-Adiabatic

Electromagnetic Field-Dressed Potential Curves

Coherent Control of Photofragment Branching Ratios

Final Exam