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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 February 4, 2005 11:24 AM
Comments
This should be interesting to try. Lets all contribute okay pals!
Posted by: David George ![[TypeKey Profile Page]](http://www.briandemarco.net/blogs/phys598map_sp05/nav-commenters.gif)
at February 7, 2005 10:34 PM
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