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Last updated:

October 6, 2022


Unlimited Duration


This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration


This course covers time-dependent quantum mechanics and spectroscopy.

Topics include perturbation theory, two-level systems, light-matter interactions, relaxation in quantum systems, correlation functions and linear response theory, and nonlinear spectroscopy.

Course Curriculum

  • Time-Independent Hamiltonian Unlimited
  • Quantum Dynamics; Time-Evolution Operator Unlimited
  • Schrödinger/Heisenberg/Interaction Pictures Unlimited
  • Time-development of State Unlimited
  • Perturbation Theory Unlimited
  • Fermi’s Golden Rule Unlimited
  • Supplement: Slowly Applied Perturbation Unlimited
  • Irreversible Relaxation Unlimited
  • Interaction Of Light and Matter Unlimited
  • Supplement: Review of Electromagnetic Fields Unlimited
  • Time-Correlation Functions Unlimited
  • Absorption Lineshape from Time-Correlation Functions Unlimited
  • Electronic Spectroscopy: The Displaced Harmonic Oscillator Model Unlimited
  • Lineshapes: Fluctuation and Relaxation Unlimited
  • Förster Theory and Marcus Theory Unlimited
  • Angular Momentum in Spherical Tensor Operations Unlimited
  • 3-j and 6-j Coefficients Unlimited
  • Hund’s Coupling Cases: Transformations of Basis Set Unlimited
  • Bright State, Dark State, Pluck Unlimited
  • Frequency Domain Spectrum as FT of Autocorrelation Function Unlimited
  • Dynamical Quantities: Visualization of Dynamics Unlimited
  • Motion of Center of Wavepacket Unlimited
  • Resonance Operators: Equation of Motion Unlimited
  • From Quantum Beats to Wavepackets Unlimited
  • Types of Wavepacket Unlimited
  • Supplement: Stationary Phase for Vibration-Electronic Spectra and Heller’s Fractionation Index Unlimited
  • Complex Energy Heff: Nondegenerate Perturbation Theory Unlimited
  • Quasi-degenerate Perturbation Theory Unlimited
  • Polyads, a, a+, N Unlimited
  • Dynamics in State Space and in Q, P Space Unlimited
  • Chem Phys Lett 320 (2000) Unlimited
  • Normal – Local Modes: Classical, Morse, Minimal Model Unlimited
  • Normal – Local Modes: 6-Parameter Models Unlimited
  • From Quantum Mechanical Heff to Classical Mechanical Heff Unlimited
  • IVR, ISC, IC Unlimited

About the instructor

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Massachusetts Institute of Technology