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:
- Time-dependent perturbation theory (8/13, 2:00PM, Rm. 121)
- Fermi’s golden rule and density matrix formalism (8/15, 2:00PM, Rm. 217)
- System-bath model and quantum master equations (8/16, 2:00PM, Rm. 217)
- Time-correlation functions (8/19, 2:00PM, Rm. 121)
- Redfield theory for excitation energy transfer & electron transfer (8/23, 2:00PM, Rm. 217)
- Time-domain description of linear spectroscopy (8/30, 2:00PM, Rm. 217)
- Introduction to nonlinear spectroscopy (9/3, 4:00PM, Rm. 121)
- 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/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:
- C. David Sherrill’s A Brief Review of Elementary Quantum Chemistry
- Math, Physics, and Engineering Applets
- Mathematical methods for physicists: A concise introduction: a good math reference book, and it is free!
- Quantum Mechanics with MATLAB
- Maple tutorial site written by Prof. Kevin G. TeBeest, Applied Mathematics, Kettering University
- Delta Function: A brief introduction to Dirac delta function on the Wolfram MathWorld website.