March 30, 2005
Change in Homework 2
Hi Class,
I've made a slight change to problem 2 on Homework 2. Don't do the case for pi polarization. To do that problem correctly requires a lot of work -- much more than I want you to do.
Cheers,
Brian
Posted by Brian at 09:39 AM | Comments (0)
March 27, 2005
Updated Homework #2
Hey Class,
I had to make a change to problem 2 on Homework number 2 (I forgot to normalize the cross-section by the incident intensity). A corrected version is on the website.
Brian
Posted by Brian at 08:12 AM | Comments (0)
March 22, 2005
Homework 2 update
Hey Class,
Peter has been beta testing Homework #2 for us. I've corrected one error that he found — the picture in problem 1 is not consistent with the Hamiltonian H0. I've corrected the online version. Stick with what I wrote down for H0 (see the updated picture), otherwise you have to define the detunings differently.
Also, wait to do problem 2 until we talk about spontaneous emission in class next week. We don't really have what most people mean by "scattering" yet. I'll basically give you the answer to this question in class.
Cheers,
Brian
Posted by Brian at 10:11 AM | Comments (0)
March 13, 2005
Homework 2 ready
Hey class,
Homework #2 is ready and on the website. It's due April 5!
Brian
Posted by Brian at 03:05 PM | Comments (0)
February 04, 2005
Homework #1
Due 2/17!
You can use this entry as a discussion forum for homework #1 questions.
Notes:
Problem 3: Find a pair of "magic states" at finite (non-zero) field, and not in the high-field limit. One Zeeman level should be in the F=2 manifold, and the other from the F=1 manifold.
There was a missing
in the parameter "x" for the lecture notes on the Breit-Rabi formula. Updated lecture notes and Powerpoint slides are on the website now.You may want to do problem 2 before problem 1.
Problem 1(a): The text should read "Think about what the projection theorem tells you about <S> and <J>."
Problem 1(b): Think about why I said to evaluate the matrix element for one pair of mF states. What does the Wigner-Eckart theorem tell you about the matrix elements of I·S? Are we working with a scalar or a vector operator?
Note that the real question for Problem 1 is to find b.
In problem 1, the atom cannot actually be He, and the electron configuration cannot be (1s)(2s). In order to get P1/2 and P3/2 states, the total S=1/2. This is not possible with two electrons! So, imagine that this is some other multi-electron atom with an odd number of electrons.
Posted by Brian at 11:24 AM | Comments (1)