Course info:
Instructor Prof. Nicola
Spaldin, Room 2007 MRL x7920, nicola@mrl.ucsb.edu
Office Hours Thursdays 2-4 pm.
Web page http://www.mrl.ucsb.edu/~nicola/211A.html
Class Time Monday and Wednesday 2-3.50
pm
Place
1437 Phelps
Extra Office Hours: Kevin Hennessy will hold additional office hours
on Tuesdays from 3-5pm in the ECE TA trailer (on your left as you face
the library with your back to Engineering I or the MRL). Kevin's e-mail
address is kjh@ece.ucsb.edu
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 have some of the usual boring
lectures on new material by me, but a good deal of the time will be spent
working on problem/discussion worksheets in small groups. In order for this
format to be successful you are required to complete the reading assignment
(listed below) before the start of the week, and attendance at class sessions
is encouraged.
Course outline:
| Week | Topics | Reading |
| 1 | A review of the time independent and time dependent
Schrodinger equations with some elementary applications |
Atkins: Introduction and Orientation.
Chapter 1 (up to page 20). Chapter 2 (up to page 59). Kroemer: Chapters 1 and 2, with emphasis on 1.2.1, 1.4.1, 1.4.2, 2.1.1, 2.1.3, 2.1.4, 2.2.1, 2.2.2, 2.6.1 |
| 2 | Operators. Dirac Notation. Matrix notation. | Atkins: Chapter 1 (page 21 - end). Kroemer: Sections 7.1 - 7.4 and 13.1 - 13.5 Feynman: Chapter 8 "The Hamiltonian Matrix" |
| 3 | The uncertainty principle. | Review Atkins pages 25-29 Kreomer: Section 4.3 Feynman Section 2-6 |
| 4 | Harmonic Oscillators. Normal modes. Phonons. | Atkins: pages 59-65, 492-495, 335-355 Kroemer: 2.3-1 to 2.3-5, 10.1 extra handout - alternative derivation |
| 5 | MIDTERM EXAM. - Wednesday February 5th in class. | |
| 6 | Angular momentum. The hydrogen atom. |
Atkins: Chapter 3 (review of undergraduate),
Chapter 4 Kroemer: Chapter 3 (review of undergraduate), 7.5.1 to 7.5.4, Chapter 18 |
| 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. FINAL EXAM. - Wednesday March 12th in class. |
Books:
P.W. Atkins and R.S. Friedman, Molecular Quantum Mechanics, Oxford
University Press (2000) (required).
H. Kroemer, Quantum Mechanics, Prentice Hall (1994)
(recommended).
Feynman, Leighton and Sands, The Feynman Lectures on
Physics, vol. III (recommended).
Grading:
Your grade will be based equally on your performance in the mid-term and final exams. Both exams. will be in the style of the worksheets. You will be allowed to bring in the notes that you have written during the course, and your own solutions to the worksheets. (Text books, and photocopies of my notes/solutions are not allowed).
Worksheets:
We will start a new worksheet in class each week, and you should aim to
complete it by the following week, when solutions will be available. We will
work together on the problems, but I recommend that you complete a final write-up
on your own and compare your working with those of your colleagues and with
mine. The worksheets will not be graded, but if you don't complete them you
might find the exams. difficult.
The worksheets can be downloaded from the links below in pdf format
Worksheet
2
Worksheet
4
Worksheet
5
Worksheet
6
Worksheet
8
Schedule Changes:
We will not have class on the following dates:
Monday January 27th, Monday February 3rd, Wednesday March
5th, Monday March 10th
We will
have make-up classes from 2-4 pm on the following dates:
Friday January 24th, Friday February 7th, Friday February
21st
I will
be unable to hold office hours on Thursday March 6th, but will hold "make-up"
office hours on Saturday March 8th from 2-4pm.
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