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CNSE 625 Quantum Processes in Solids and Nanostructures
Spring 2009


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Instructor:      Prof. Y. Alex Xue

Office: CESTM B131    Phone: (518) 956-7220   Email: yxue@uamail.albany.edu

 

Meeting Time and Location:
Wednesday 1:40-3:00 PM, CESTM Auditorium
Friday 1:30-2:50 PM, NFS Classroom


Office Hour: WF 3-4 PM.


Course Description: This is a one-year course that addresses the fundamental concepts relevant to the investigation of nanomaterials and nanodevices by applying the methods of quantum mechanics and statistical mechanics to examine the atomic and electronic properties of solids, surfaces and nanosale systems. CNSE625 will focus on the fundamentals concepts and methods of thermodynamics, statistical mechanics, and in-depth discussion of the quantum mechanics of atoms, molecules, and crystals. The 2nd half of the cousre CNSE626 will focus on the application to electronic, magnetic, optical and transport properties of solids and surfaces.

 
Prerequisite
:
I assume you have been exposed to the basics of quantum mechanics and solid state physics (and the relevant mathematics) as described in Griffiths/Liboff/Kittel, which were covered in the Foundation of Nanotechnology modules or equivalent such as CNSE 511&512.

1) D.J. Griffiths, Introduction to Quantum Mechanics (2nd edition, Benjamin Cummings, 2004).

2) R. Liboff, Introductory Quantum Mechanics (4th edition, Addison Wesley, 2002).

3) C. Kittel, Introduction to Solid State Physics (8th edition, John Wiley & Sons, 2004).


Course Text:
There are two required textbooks avalibale at UAlbany bookstore, which are also required for CNSE626:

1) M.P. Marder, Condensed Matter Physics (Wiley, 2000).
2) C. Cohen-Tannoudji et al., Quantum Mechanics (2 vol. set), Wiley-Interscience, 2006.  Note that this is the republication of the original Wiley 1977 text, for which you may get a better bargain as used books at Amazon.com.


The actual lectures will not cover the course materials in the same order as textbbooks, and I’ll cover additional topics as appropriate. Here is a list of additional relevant textbooks that may help you understand the course materials (these will be provided separately to you as needed).
 
Statistical Physics
1) D. Chandler, Introduction to Modern Statistical Mecahnics  (Oxford University Press, 1987).
2) M. Kardar, Statistical Physics of Particles (Cambridge University Press, 2007).
3) L.A. Girifalco, Statistical Mechanics of Solids (Oxford University Press, 2003).
4) W. Greiner et al., Thermodynamics and Statistical Mechanics (Springer, 1995).
5) L.D. Landau and E.M. Lifshitz, Statistical Physics, 3rd edition (Elsevier, 1980).

Quantum Mechanics
1) P. Atkins and R. Friedman, Molecular Quantum Mechanics, 4th edition (Oxford University Press, 2005).
2) R. Shankar,
Principles of Quantum Mechanics, 2nd edition (Plenum Press, 1994).
3) L.D. Landau and E.M. Lifshitz,
Quantum Mechanics, 3rd edition (Elsevier, 1977).
You may also find it handy to have Griffiths or Liboff within reach.

Solid State and Surface Physics
1) N.A. Ashcroft & N.D. Mermin, Solid State Physics (Saunders, 1976)
2) E. Kaxiras, Atomic and Electronic Structure of Solids (Cambridge University Press, 2003).
3) M.-C. Desjonqueres and D. Spanjaard, Concepts in Surface Physics, 2nd edition (Springer, 1996),


Grades: They will be based on homeworks, a midterm paper, and a comprehensive final exam. Grade distribution: 40% homework, 20% midterm paper, 40% final exam. The homeworks will be collected but not graded.

 

Course Website http://www.albany.edu/~yx152122/CNSE625-09.html.
Lecture notes, reading materials and homework solutions can be found at the course website. 

 

Weekly Course Materials:
You should
study the reading materials beforehand and come to the lecture with questions and read them again after the lectures!


     Date                                  Lecture Topic                                          Reading Materials                       Homework

1/21



1/23

Course Overview and Thermodynamics Fundamentals


Thermodynamic Potentials
Chandler Ch. 1 & Kardar Ch. 1

Week1.pdf

1/28


1/30

Snow Cancellation

Phase Equilibrium and Stability


Chandler Ch. 2.1-2.3
Week2.pdf


Homework 1

2/4


2/6

Probability I

Probablity II
Kardar Ch. 2.1-2.3

Kardar Ch. 2.4-2.7
Week3.pdf

2/11


2/13

Liouville's Theorem

Microcanonical Ensemble
Kardar Ch.3.1,3.2

Kardar Ch. 4.1-4.3 and Chandler 3.1,3.2, 3.4
Week4.pdf


Homework 2
2/16-2/21
Winter Break (No Class)




2/25


2/27
Idea Gas, the Gibbs Paradox 


Harmonic Oscillator
Kardar Ch. 4.4, 4.5,

Week5.pdf
Reading 4, Chandler
Ch 4.1-4.4

3/4



3/6

The Canonical Ensemble


Gibbs Canonical Ensemble and Grand Canonical Ensemble
Kardar Ch. 4.6,4.7

Week6.pdf
Kardar Ch. 4.8,4.9, Chandler Ch. 3.5-3.7


Homework 3
3/11


3/13
Fundamental Principles of Quantum Mechanics I

Fundamental Principles of Quantum Mechanics II
Cohen-Tannoudji Ch. II.A, II.B, Complement A.II, B.II

Cohen-Tannoudji Ch. II.C. II.D, III.B
Week7.pdf




3/18

3/20
Harmonic Oscillator

Angular Momentum
Cohen-Tannoudji Ch. II.E, V.A-V.D
Cohen-Tannoudji Ch. VI.A - VI.C
Week8.pdf


Mid-Term Paper Due
(03/20)
Homework 4
3/25

3/27
Landau Levels

Hydrogen Atom and Atomic Orbitals
Cohen-Tannoudji Complements E.VI
Cohen-Tannoudji Ch.VII.A -VII.C, Complement E.VII
Week9.pdf

4/1

4/3
Qunatum Theory of Scattering I

Qunatum Theory of Scattering  II
Cohen-Tannoudji Ch. VIII.A-VIII.C
Cohen-Tannoudji Complement A.VIII, C.VIII
Week10.pdf


Homework 5
4/8-4/13

Spring Break (No Class)


4/15

4/17
Stationary Perturbation Theory

The Variational Method
Cohen-Tannoudji Ch. XI.A- XI.C, Complement A.XI
Cohen-Tannoudji Complement E.XI and Shankar Ch. 16
Week11.pdf

4/22


4/24
Van der Waals Forces


Chemical Bond, Systems of Identical Particles
 Cohen-Tannoudji Complement
C.XI, G.XI
Week12.pdf
Cohen-Tannoudji Complement G.XI, Kardar Ch. 7.1
Homework 6
4/29


5/1
Quantum Statistical Mechanics


Ideal Quantum Gases
Cohen-Tannoudji Complement E.III,  Kardar Ch. 6.4,6.5,7.1
Week13.pdf
Kardar Ch.7.2,7.3




Final Exam
(Friday, May 08, 2009,  13:00-15:00, NFS Classroom