ECE/MAT 211A. Quantum Mechanics. 
Winter 2005

Course info:

Instructor         Prof. Nicola Spaldin, Room 2007 MRL, x7920, nicola@mrl.ucsb.edu
Office Hours   Tuesdays,  9  - 11 am

Web page         http://www.mrl.ucsb.edu/~nicola/211A_2005.html

Class Time       Monday and Wednesday 2-3.50 pm
Place                 1437  Phelps

Teaching assistant     Amorette Getty, x8577, amorette@engineering.ucsb.edu
TA Office Hours       Thursdays, 9.30 - 11.30, ESB Room 3215


Course philosophy:

You can only learn quantum mechanics by doing it, not by listening to someone talk about it in two hour blocks. Therefore the classroom sessions in this course will be a little unconventional. We'll spend roughly the first half of each class session with the usual boring lectures on new material by me, and the second half working on problems in small groups. Since I'll be spending less time on syllabus transmission during class, some of the course content will be covered in reading assignments; to compensate for the extra reading, there'll be fewer homework problems since we'll get more practice on problems during class time. In order for this format to be successful, attendance at class sessions is encouraged.
 

Books:

Required:
P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, Oxford University Press (2000). This one will be our primary text book for the course

Recommended:
H. Kroemer, Quantum Mechanics, Prentice Hall (1994). This book is particularly good for those of you who have a strong background in wave mechanics

Feynman, Leighton and Sands, The Feynman Lectures on Physics, vol. III. This one is very good for concepts and understanding.


Grading and rules:

Your grade will be based equally on your performance in 3 areas: 1) the homework sets, 2)  the mid-term and 3) the final exam.

Homework will be assigned on Wednesdays, and will be collected in class the following Wednesday. Late homework will not be accepted, but your lowest score will be dropped when calculating your total to accomodate sickness/busy-ness/travel.

The Mid-term exam. will be on Wednesday Feb. 9th, in class. The final exam. will be on Monday March 14th, 4-7pm. For the mid-term exam. you will be allowed to bring in 1 page of notes, written on one side; for the final you can have notes on 2 sides.

Course outline:
 

Week Topics Reading
1 Operators. Dirac Notation. Matrix notation.
Atkins: Chapter 1
Kroemer: Sections 7.1 - 7.4 and 13.1 - 13.5
Feynman: Chapter 8 "The Hamiltonian Matrix"
2
The uncertainty principle.
Review Atkins pages 25-29
Kroemer: Section 4.3
Feynman Section 2-6
3
Harmonic Oscillators. Normal modes. Phonons.
Atkins: pages 59-65, 492-495, 335-355
Kroemer: 2.3-1 to 2.3-5, 10.1
4
The hydrogen atom. Operators for angular momentum.
Atkins: Chapter 3 (review of undergraduate), 4.1 - 4.8
Kroemer: Chapter 3 (review of undergraduate), 7.5.1 to 7.5.4
5
Angular momentum of composite systems.
Atkins: Chapter 4.9 - end
Kroemer: Chapter 18
6
MIDTERM EXAM. - Wednesday  February 9th in class.

7 Techniques of Approximation. Variation principle. Hellmann-Feynman theorem. Atkins: pages 178 - 183
Kroemer: Chapter 12
extra handout - molecular orbital theory
8 Time-independent perturbation theory. The He atom. Atkins: pages 164 - 177, plus optional extra: 212 - 218
Kroemer: Chapters 14 and 15
9 Time-dependent perturbation theory. Fermi's Golden Rule. Atkins: pages 184 - 198
Kroemer: Chapter 19
10 Review/catch up. 


Schedule Changes:

We will not have class on Monday February 7th

We will have a make-up classes on Monday January 17th (MLK day) at our usual time/place


Homeworks and in-class problems:

Homework 1 problem set. Due in class Wednesday January 12th. Here are the solutions and here are the solutions to the additional optional problems.

Homework 2 problem set. Due in class Wednesday January 19th. Here are the solutions.

Homework 3 problem set. Due in class Wednesday January 26th. Here are the solutions.

Homework 4 problem set. Due in class Wednesday February 2nd. Here are the solutions.

Homework 5 problem set. Due in class Wednesday February 16th. Here are the solutions.

Homework 6 problem set. Due in class Wednesday February 23rd.

Homework 7 problem set. Due in class Wednesday March 9th.

Week 1 in-class problems and solutions.

Week 2 in-class problems and solutions.

Week 3 in-class problems. Solutions were handed out in class.

Week 4 in-class problems and solutions.

Week 5 in-class problems and solutions.

Week 7 in-class problems (week 6 was the mid-term, so we didn't do problems) and solutions.

Week 8 in-class problems

Some additional notes that we will use:

Here are the extra notes on postulates of quantum mechanics

Here are the extra notes on matrix notation

Here
are the extra notes on the uncertainty principle

Here are the extra notes on harmonic oscillators

Here is the extra handout with the alternative harmonic oscillator derivation

Here are the extra notes on applications of harmonic oscillators

Here and Here are the extra notes on angular momentum

Here are the extra notes on the variational principle

Here is the extra handout on molecular orbital theory

Here and Here are the extra notes on time-independent perturbation theory

Here  and Here  and Here  are the extra notes on time-dependent perturbation theory