課程資訊
課程名稱
 量子動力學導論
INTRODUCTORY QUANTUM DYNAMICS 
開課學期
 98-1 
授課對象
 理學院  化學系  
授課教師
 鄭原忠 
課號
 Chem5070 
課程識別碼
 223 U0400 
班次
  
學分
 3 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期二3,4(10:20~12:10)星期五2(9:10~10:00) 
上課地點
 化217化217 
備註
 本課程中文授課,使用英文教科書。詳選課須知。外系所學生選修需經授課教師同意。
限學士班三年級以上 且 限本系所學生(含輔系、雙修生)
總人數上限：60人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/981quandynamics 
課程簡介影片
 
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課程概述

This course is intended as an introduction to fundamental concepts in time-dependent quantum mechanics and approximation methods useful in physical chemistry, with an emphasis on descriptions applicable to condensed-phase systems. The lectures will be divided into three parts: 1/3 with focus on matrix mechanics and time-dependent problems, 1/3 with focus on density-matrix formalism and relaxation in open systems, and the last 1/3 with contemporary applications to spectroscopy and quantum dynamical processes in condensed-phase systems.

Planned topics: matrix mechanics, time-dependent Schrödinger equation, time-dependent perturbation theory, density matrix formalism, relaxation, linear response theory, interaction of light with matter, time-domain correlation function description of spectroscopy, excitation energy transfer, electron and proton transfer, time-resolved nonlinear spectroscopy.
 

課程目標
 This course aims to introduce fundamental concepts in quantum dynamics that are essential for the understanding of modern chemical dynamics and spectroscopy of molecular systems. Formalisms useful for condensed-phase systems will be emphasized in order to reflect current trends in physical chemistry research, and deep connections between theory and experiments will be illustrated via discussions of recent research works in the class. The goal is to provide a broad background to help students grasp the vast literature regarding dynamical processes and spectroscopy in chemistry and learn to solve dynamical problems in their research. 
課程要求
 This course emphasizes hands-on problem solving skills, therefore, working through examples and homework assignments is absolutely essential. You are welcome to work together on the problems, but the final product you turn in should reflect your own understanding of the subject and not something copied from the work of another student. I will be available for after-hours discussions on problem solving.
 
預期每週課後學習時數
  
Office Hours
 每週三 17:30~18:30 
指定閱讀
  
參考書目
 The following book is strongly recommended:
#Quantum Mechanics in Chemistry by George C. Schatz & Mark A. Ratner, Dover
Publications (ISBN: 978-0486420035).

The following reference books are recommended:
#Quantum Mechanics (2 vol. set) by Claude Cohen-Tannoudji, Bernard Diu & Frank
Laloe, Wiley-Interscience (ISBN: 978-0471569527).
#Chemical Dynamics in Condensed Phases by Abraham Nitzan, Oxford University
Press, 2006 (ISBN: 978-0198529798).
 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 Homework 
40% 
  
2. 
 Midterm exams 
30% 
  
3. 
 Final exam 
30% 
  
 
課程進度
週次
日期
單元主題
第1週
 9/15,9/18  Review of mathematics & basic concepts of quantum mechanics: Dirac notation, matrix mechanics, linear algebra 
第2週
 9/22,9/25  Time-independent problems: two-level systems, variational principle, time-independent perturbation theory 
第3週
 9/29,10/02  Numerical propagation of time-dependent Schrodinger equation: wavepacket dynamics, discrete variable representation 
第4週
 10/06,10/09  Analytical solution to time-dependent Schrodinger equation: time-evolution operator, time-dependent perturbation theory 
第5週
 10/13,10/16  Interaction of light with matter: electric dipole Hamiltonian, absorption & stimulated emission, spontaneous emission 
第6週
 10/20,10/23  Quantum relaxation: Fermi’s Golden Rule & irreversible relaxation, density matrix formalism 
第7週
 10/27,10/30  Fluctuations & condensed-phase quantum dynamics: quantum open systems, stochastic Liouville equation, decoherence 
第8週
 11/03,11/06  Quantum mechanical model for fluctuations: spin-boson Hamiltonian, time-correlation functions, relaxation rates 
第9週
 11/10,11/13  Fluctuation-dissipation theorem, linear response 
第10週
 11/17,11/20  Review & midterm exam 
第11週
 11/24,11/27  Electronic spectroscopy: displaced harmonic oscillator model, ensemble averaging and line broadening, absorption & fluorescence spectra 
第12週
 12/01,12/04  Fluctuations, ensemble averaging and line broadening 
第13週
 12/08,12/11  Solvation dynamics: non-equilibrium dynamics, time-resolved fluorescence spectroscopy 
第14週
 12/15,12/18  Quantum wavepacket dynamics: pump-probe spectroscopy, wavepacket interferometry of iodine, quantum control 
第15週
 12/22,12/25  Excitation energy transfer: Frenkel exciton model, Forster theory 
第16週
 12/29  Frenkel exciton model, Molecular aggregates; Electron transfer: Marcus theory 
第17週
 1/05,1/08  Electron transfer: Marcus theory, Photosynthetic electron transfer, Quantum tunneling effects