Sunday, March 17, 2013

Guide to the final.

Based on the feedback I have seen here, and my own ideas, I am thinking that things we could cover on the final include:
expectation values,
time dependence,
semiconductors,
pn junctions,
light emission (laser or led)
spin
re-organization of H-atom states due to fine-structure (s*L & p^4 terms).

Did I leave out anything? I'll be back later to post more about the final.  In the mean time you could look at some of the final practice problems that seem to fit in well with these categories. (and practice doing them using just your equation sheet.) I would suggest maybe working backwards from 11 to 3. The last ones seem like the best place to start as they seem less difficult and more relevant.

The final exam schedule for winter quarter can be found here:
http://registrar.ucsc.edu/soc/final-examinations.html
My understanding is that for our class (TuTh, 2:00 PM) it is on Friday March 22 at 12:00 noon.

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More notes on the final (March 20):
Most questions involve hydrogen atom states or 1DHO states. The others involve the nature of an LED (and Laser) and the origin of fine structure. A deep grasp of what states have time dependent expectation values will be of great value to you. The ability to calculate expectation values for both 1DHO and hydrogen atom states will also be emphasized. There are questions about fine-structure. There is one question from the midterm almost unchanged. I would suggest being prepared to do both 1D and 3D integrals. About 40 points involve integrals and expectation values. Reviewing the type of integrals you did to get the expectation value of x and y for hydrogen atom excited states will help with one problem.

If you can really understand problem 5, that will help you with one of the most difficult problems on the test.
Also, there is currently an extra-credit problem that is mostly about the 1DHO, but has a reference to gaussian wave-packet spreading (for $U(x) = 0$), which you covered last quarter. So you might want to recall that a bit, but the hard part of the problem is not that part, it is an extra-credit problem (and it is difficult) so I would not make that a main focus of your preparation, but just an extra thing after you have everything else down. Also, this problem might get bumped anyway if something better comes along. (Perhaps an extra credit problem on crystal states instead?)

Text above has been edited (March 20 10 PM). A few more thoughts:
Have an equation for fine structure energies ready...




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