Wednesday, February 13, 2013

Another midterm preparation post.

(edited on Weds evening, Feb 13)
The midterm is on Feb 19 (as posted and announced previously).
You can bring a one page sheet. Suggestions regarding what to put on it are here, and in the earlier posts on midterm preparation. This is the third in a series of 3 midterm preparation related posts which include:
i) Midterm, Feb 19: midterm preparation; Quiz.  (posted Jan 31)
ii) Quiz: a quiz is now posted here. (posted Feb 1)
     -this quiz, if you take it as suggested, is a good way to test your preparation. If you just read it before preparing that is not as useful as using it to simulate a real quiz and thereby testing your equation sheet and your readiness for your midterm. In addition to the quiz, there is discussion of the midterm in this post as well.
Suggestions regarding how to prepare and what to include on your equation sheet ( and not include) are in those older posts as well.

In general, I think reading and understanding most things on the course blog would be good preparation. The older posts are not gone. They will appear when you click "older posts" at the bottom of the page.

Specific tips:

This is quantum. hbar is important. so is m, the mass of an electron. Have hbar and hbar c ready in various unit systems. We like eV for energy. hbar c is often much preferable to work with. Know c in m/s, cm/s, nm/s and A/s. know mc^2 for an electron in Ev. Of course you can write all these on your equation sheet.

We do expectation value calculations. Have some extensive, but not insane, integral tables prepared. Use Wolfram Alpha to create them. Definite integrals.

Understand x, p, x^2, confinement and kinetic energy and potential energy. Be ready to calculate, graph and explain anything related to those things.

Understand the origin of the size of the hydrogen atom.

Understand how to quickly calculate energies, especially kinetic energy, in eV.

Be prepared to illustrate states in both 1D, for the HO and square well, and in 3D, for the hydrogen atom. Understand how to use contour plots and plots along a particular axis to illustrate the nature of a state. Be able to illustrate any 1st-excited state as well as the ground state and to discuss their nature. That includes all sp2 states. (Though don't get too carried away with the details of sp2 contours. I will not asked you to draw an sp2 state contour.)

Be prepared to sketch integrands, including KE integrands.

Be prepared to sketch states and integrands for double wells.

Be prepared to calculate time-dependent expectation values.

In some problems you will be given information you do not need. This is to test if you really understand quantum physics (rather than just having a developed skill related to how to guess what professors want you to with whatever information you are given.). If you understand something don't be fooled by extraneous information. Trust your preparation, knowledge and intuition.

4 comments:

  1. Will we be able to bring in our own equation sheet for the midterm?

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  2. Should we have normalized double well states prepared? Or do we just need to understand them qualitatively?

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