5.74 | Spring 2004 | Graduate

Introductory Quantum Mechanics II

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

Course Info

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Spring 2004
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