6.728  Appl Quantum &Statistical Phys

Dear all,

This is the last email you will get from me!

1) The final questions and solutions have been posted.

2) Final stats and global grade stats have been posted.

3) You can get back your corrected Pset 11 and your final exams from a box outside my office from 11-5 today. After that, I will place the sheets under my door, halfway outside. I do not know how much time they will last there without becoming recycled paper.

So, it's time to say goodbye. You certainly drove me crazy this semester, but I was really happy to meet you/work with you/learn with you (quantum mechanics or not) - Thanks. And good luck with the rest of your studies!

Take care!

Clarice

Dear all,

1) Reminder: The final exam will take place tomorrow, Monday Dec 14, from
1.30 to 4.30pm in Walker Memorial.

2) The formula sheet for the final has been posted.

3) You can get back your corrected Psets 9 and 10
in my office either *today 4-6pm* or *tomorrow 8-12pm*

4) Be sure to study the Psets, *including Pset 11*; do not forget to study:
- density of states (including the *2* extra materials that I posted)
- golden rule
- "counting" in stat mech
- dipolar interaction & possible dipolar transitions
- energy for hydrogen and helium
(no, I will not be "more precise")

Study well, and success tomorrow!

Clarice

Hi there,

Course VI maintains the "Underground Course Evaluations", found at http://sixweb.mit.edu/ .
Please take a moment to fill out the survey about this class - what went wrong, what went right, what can be improved.
Answers are anonymous and the staff does not get to see them before the grades are turned in.

Thanks!

Clarice

Hi there,

About ex. 29.1:
29.1 a) is easy;

29.1 b) is not easy. If you want to derive the complete solution for the possible states in spherical coordinates, you must follow the procedure of the book in page 591 with the Coulomb potential of the example (V(r) in formula 29.78) replaced by the |r|^2 potential of the exercise.

Doing this, you will see that the equation relating n,l (formula 29.84) changes. You will have a new expression for P_nl, which in turn will give you an expression for R_nl. ***These R_nl are NOT the same as the R_nl found for the Coulomb potential***.

In principle, you do not need to give explicit expressions for  these new R_nl in b); just leave as R_2l, where l are the possible l values calculated by the simple counting argument we saw in tutorial.

On the other hand, you will discover explicit expressions for those radial functions R_2l in c), when you are going to transform your answer of a), which is expressed in cartesian coordinates, in spherical coordinates.

Hope that helps.

Clarice

Hi there,

1) The optional Pset 11 can be handed-in by *Friday 5pm*, in my office (26-313). If you choose to hand it in, only your 10 best pset grades will be counted toward your final grade.
Solutions for PSet 11 will be posted by 6pm on Friday.

2) Problems that should be solved for PSet 11:
1- 29.1 (carried from Pset 10)
2- 30.1
3- 30.2

3) Problems 31.1 and 31.3 will not count toward the grade, but can still be handed in.

Clarice