Spring Quarter 2012
MWF at 13:00 at 318 Willamette.
This the third quarter of a one year graduate level course. It is for
students who have had an introductory course in quantum mechanics
before. Students should also have a good background in mathematics,
including linear algebra and complex analysis. I will start from the
beginning and develop the major ideas of quantum mechanics. Thus a
student who has not seen some particular idea or method will be able to
learn it in this course. However, the pace will be too fast for a
student who has not seen any of the ideas and methods.
- Modern Quantum Mechanics, Second Edition, by J. J. Sakurai and Jim J. Napolitano.
- There will be no class on Monday 2 April because some of our students will be taking the Ph.D. qualifying exam.
- I need to be away on 28 May, 30 May, and 1 June. I will be at a workshop at DESY laboratory in Hamburg.
- We will have makeup classes at 17:00 on Fridays: 20 April, 27 April, and 4 May.
- 2 - 6 April. Sakurai, Chapter 7, sections 7.1 - 7.3. This is about the treatment of identical particles in quantum mechanics. We will return to other sections of chapter 7 later in the quarter.
- 9 - 13 April. Sakurai, Chapter 5, sections 5.1 - 5.2. Notes Perturbation theory for energy levels sections 1 and 2.
- 16 - 20 April. Sakurai, Chapter 5, sections 5.3 - 5.4. Notes The van der Waals interaction.
- 23 - 27 April. Sakurai, Chapter 5, section 5.5, the fist three subsections of section 5.6, and the first three subsections of 5.7. Notes Perturbation theory for energy levels sections 3 - 5. Notes The adiabatic approximation and Berry's phase.
- 30 April - 4 May. Sakurai, Chapter 5, section 5.7. Notes Time dependent perturbation theory sections 1 - 6.
- 7 - 11 May. Sakurai, Chapter 5, sections 5.8 - 5.9. Notes Time dependent perturbation theory sections 7 - 13.
- 14 - 18 May. Sakurai, Chapter 6, sections 6.1 - 6.3. Notes Scattering theory sections 1 - 9.
- 21 - 25 May. Sakurai, Chapter 6, sections 6.4 and 6.6. Notes Scattering theory sections 10 - 13 and 15.
- 28 May - 1 June. I will be at DESY laboraaory in Hamburg. No class.
- 4 - 8 June. Sakurai, Chapter 6, section 6.7. Notes Scattering theory sections 16 - 18.
You may want to look at the exam from last year.
There will be problems assigned each week in class, due on Wednesdays. Occasionally a problem will involve computer work. I recommend Mathematica,
which is available at UO computer labs. If you already know some other
computer language like C++, Fortran, Matlab, or Maple, you can use what
- Wednesday 11 April: Sakurai, problems 7.2, 7.3, 7.5, 7.6. For problem 7.3, we suppose that the spatial wave functions are the same for both of the particles. For problem 7.6, you can ignore the question "What is the total spin in each case."
- Wednesday 18 April: Sakurai, problems 5.1, 5.2, 5.3, 5.4. (See solutions for problems 5.2, 5.3 and 5.4.)
- Wednesday 25 April: Sakurai, problems 5.12, 5.20, 5.21. (See solution for problem 5.12.)
- Wednesday 2 May: Sakurai, problems 5.22, 5.26, 5.30(a). Our midterm exam is also on 2 May. You may want to look at the midterm exam from last year. (See solution for problem 5.22.)
- Wednesday 9 May: Sakurai, problems 5.35 and 5.38. (See solution for problem 5.38.)
- Wednesday 16 May: Notes, Time dependent perturbation theory, exercise 12.1. (See solution.)
- Wednesday 23 May: Notes, Scattering theory, exercise 6.1.
- Wednesday 30 May: Notes, Sakurai problems 6.1 and 6.2. (Submit to Chris Newby.)
- Wednesday 6 June: Notes, Scattering theory, exercises 15.1 and 15.2.
Available notes in .pdf format:
- Midterm Exam: Wednesday 2 May, in class.
- Final Exam: 15:15 Monday 11 June.
The homework assignments will count for 25% of the course grade. There
will be one midterm exam, which counts for 25% of the course grade. The
final exam will count for 50% of the course grade.
Exams are to be taken without notes or books. That is because I
want to encourage you to remember the most important formulas for
quantum mechanics. If you will need an obscure complicated formula for
an exam question, I will give it on the exam.
Note: I encourage students to work together on the homework. I
don't want you to just copy from someone else's work because you won't
learn anything that way, but if you work out the solution jointly with
someone else or with a group, that's fine. Real science usually
involves teamwork, so it's a good idea for you to learn how to work on
science with others. This policy is an exception to the normal
university rule about doing your own work. Of course, on exams, your
paper has to be entirely your own work.
Davison E. Soper, Institute of Theoretical Science,
University of Oregon, Eugene OR 97403 USA