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_2006.html
Class Time Monday and Wednesday 23.50
pm
Place
1437 Phelps
Teaching assistant
Damien Boesch, x7922, dboesch@engineering.ucsb.edu, Room
2003 MRL
TA Office Hours
Tuesdays 4  5 and Fridays 1  2.30
Books:
Required:
D.J. Griffiths, Introduction to Quantum Mechanics, 2nd
Edition, Pearson/Prentice Hall, 2005. ISBN 0131118927. This one
will be our primary text book for the course.
Additional recommended reading:
P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, Oxford University Press (2000). This book is particularly good for those of you who have a Chemistry background.
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, but follows a very different development than the one that we'll be using in this course.
Grading and rules:
Your grade will be based on your performance in 3 areas: 1) the
homework sets (30% of the total grade), 2) the midterm (30%
of the total grade) and 3) the final exam. (40% of
the total grade).
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 accommodate sickness/busyness/travel.
The Midterm exam. will be on Wednesday
Feb. 1st, in class. The final exam.
will be on Monday March 20th, 47pm. For the midterm
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. You can
bring in a calculator to both exams.
Course outline:
The book by Griffiths is so good that we will more or
less work through it directly, at (roughly) a rate of 1 chapter per week.
The summary course outline below also points you to the reading in the
other books.
Week  Topics  Reading 
1  The wavefunction 
Griffiths Chapter 1. Atkins: 1.1  1.12 Kroemer: Chapter 1. 
2 
Solutions to the Schrodinger Equation. Harmonic Oscillators. Normal modes. Phonons. 
Griffiths Chapter 2. Atkins Chapter 2 and 10.8  10.14 and Further info 6 and 7 Kroemer: Chapters 2 and 10 
3 
Formalism. Operators. Dirac Notation. Matrix
notation. 
Griffiths Chapter 3 and Appendix (Linear Algebra) Atkins: Chapter 1.13  1.20 and Further info 22 and 23 Kroemer: Sections 7.1  7.4 and Chapter 13 Feynman: Chapters 8 and 20 
4 
Wed. Feb. 1st. Midterm exam. in class 

5 
The hydrogen atom. Operators for angular momentum.
Angular momentum of composite systems. 
Griffiths Chapter 4. Atkins: Chapters 3 (review of undergraduate) and 4 Kroemer: Chapters 3 (review of undergraduate) and 18, Section 7.5 Feynman: Chapters 18 and 19 
6 
Timeindependent perturbation theory. 
Griffiths Chapter 6. Atkins: 6.1  6.8 Kroemer: Chapters 14 and 15. 
7  Techniques of Approximation. Variation principle. HellmannFeynman theorem.  Griffiths Chapter 7. Atkins: pages 178  183 Kroemer: Chapter 12 extra handout  molecular orbital theory 
8  The WKB approximation.  Griffiths. Chapter 8. Kroemer: Chapter 6. 
9  Timedependent perturbation theory. Fermi's Golden Rule.  Griffiths. Chapter 9. Atkins: pages 184  198 Kroemer: Chapter 19 
10  Review/catch up. 
Schedule Changes:
We will have an extra class on Monday January 16th (MLK day) at our usual time/place.
Homeworks and inclass problems:
Homework
1 problem set. Due in class Wednesday January 18th.
Here are the
solutions.
Homework
2 problem set. Due in class Wednesday January 25th. Here are the solutions.
Homework
3 problem set. Due in class Wednesday February 8th. Here are the solutions.
Homework
4 problem set. Due in class Wednesday February 15th. This is
the Midterm exam from 2002. Here are the solutions.
Homework
5 problem set. Due Friday February 24th. This is the final exam
from 2003. Here are the solutions.
Homework
6 problem set. Here are the solutions.
Here
is the practice final exam that Damien will work through on Monday March 13th.
This is the final exam from 2005.
The following are good practice problems for timedependent perturbation theory
(actually, a good study approach would be to work through the problems in Griffiths
for the chapters that we've covered!):
Problem 9.2, page 343 (actually we already did this in class, but take the time
to contemplate and understand the discussion).
Example 9.1, page 357
Problem 9.20, page 365 (this is similar to homework 4, but with explicit timedependence
in the Hamiltonian).
Also, remember to read through (and understand) Chapter 9 of Griffiths!
Some additional
notes: