5.74 | Spring 2004 | Graduate

Introductory Quantum Mechanics II

Lecture Notes


Time-Independent Hamiltonian (PDF)

Two-Level System

Density Matrix

Prof. Andrei Tokmakoff
2 Quantum Dynamics; Time-Evolution Operator (PDF) Prof. Andrei Tokmakoff
3 Schrödinger/Heisenberg/Interaction Pictures (PDF) Prof. Andrei Tokmakoff
4 Time-development of State Amplitudes/Resonant Driving of Two-Level System (PDF) Prof. Andrei Tokmakoff
5 Perturbation Theory (PDF) Prof. Andrei Tokmakoff

Fermi’s Golden Rule (PDF)

Supplement: Slowly Applied Perturbation (PDF)

Prof. Andrei Tokmakoff
7 Irreversible Relaxation (PDF) Prof. Andrei Tokmakoff

Interaction Of Light and Matter (PDF)

Supplement: Review of Electromagnetic Fields (PDF)

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

Types of Wavepacket (PDF)

Supplement: Stationary Phase for Vibration-Electronic Spectra and Heller’s Fractionation Index (PDF)

Prof. Robert Field
24 Complex Energy Heff: Nondegenerate Perturbation Theory (PDF) Prof. Robert Field

Quasi-degenerate Perturbation Theory (PDF)

Strong and Weak Coupling Limits

Prof. Robert Field
26 Polyads, a, a+, N (PDF) Prof. Robert Field
27 Dynamics in State Space and in Q, P Space (PDF) Prof. Robert Field

Chem Phys Lett 320 (2000): 553 (PDF)

Visualizing IVR

Prof. Robert Field
29 Normal – Local Modes: Classical, Morse, Minimal Model (PDF) Prof. Robert Field
30 Normal – Local Modes: 6-Parameter Models (PDF) Prof. Robert Field
31 From Quantum Mechanical Heff to Classical Mechanical Heff (PDF) Prof. Robert Field


Extra Topics


Electromagnetic Field-Dressed Potential Curves

Coherent Control of Photofragment Branching Ratios

Prof. Robert Field
  Final Exam  

Course Info

As Taught In
Spring 2004
Learning Resource Types
Lecture Videos
Lecture Notes
Problem Sets