A Summer Short Course on Quantum Dynamics and Spectroscopy (2019)

This is to be a short course of 8 lectures that provide a general overview of time-dependent quantum mechanics and approximation methods useful in descriptions of excitation energy transfer and electron transfer in condensed-phase molecular systems. A density-matrix approach will be emphasized, and the content will consist of developments of theoretical methods that have broad applications in physical chemistry. A time-dependent approach to linear spectroscopy and a brief introduction to nonlinear spectroscopy will also be presented.

CEIBA Website

https://ceiba.ntu.edu.tw/000SSCQDaS2019

Tentative Schedule & Topics

Each meeting will be about 2 hours, and the lectures will focus on covering the principle theoretical ideas in each topic listed in the following:

  1. Time-dependent perturbation theory (8/13, 2:00PM, Rm. 121)
  2. Fermi’s golden rule and density matrix formalism (8/15, 2:00PM, Rm. 217)
  3. System-bath model and quantum master equations (8/16, 2:00PM, Rm. 217)
  4. Time-correlation functions (8/19, 2:00PM, Rm. 121)
  5. Redfield theory for excitation energy transfer & electron transfer (8/23, 2:00PM, Rm. 217)
  6. Time-domain description of linear spectroscopy (8/30, 2:00PM, Rm. 217)
  7. Introduction to nonlinear spectroscopy (9/3, 4:00PM, Rm. 121)
  8. Two-dimensional electronic spectroscopy (9/6, 2:00PM, Rm. 217)

Location

  • 121 Chemistry Building (8/13, 8/19, 9/3)
  • 217 Chemistry Building (8/15, 8/16, 8/23, 8/30, 9/6)

Reference Materials

Prof. Tokmakoff’s online course @ U. Chicago

http://tdqms.uchicago.edu/

http://tdqms.uchicago.edu/page/tdqms-notes

Schatz & Ratner’s “Quantum Mechanics in Chemistry”

by George C. Schatz (Author), Mark A. Ratner (Author)
Publisher: Dover Publications
ISBN: 978-0486420035

Prerequisites

Attendants should have been familiar with notions of time-independent quantum mechanics such as

  • Time-independent Schrodinger equation & simple quantum systems
  • Dirac notation & basics of matrix mechanics
  • Operators, second quantization notations

The followings are some good references: