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.
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