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== Exam ==

We have our midterm coming up next Tuesday (Nov 5). This will be the only in-class exam, as the final exam will be a take-home exam. Here are some resources.

 * <<la("Review for Midterm.pdf", "Summary of the review session (Nov 2)")>>.
   * In addition to what I summarized here, we also discussed problem 6 of the practice midterm briefly. Here is what I said. The setup here boils down to the initial state at $t = 0$, which evolves in time, as governed by the Hamiltonian. The time evolution for this Hamiltonian (constant B field coupling to spin) corresponds to the rotation of the spin around the direction of the magnetic field. Initially, the spin is up along the $z$ direction. So, for part (a), there won't be any change to the state (except for a phase accumulation). For part (b), the state will rotate in the $yz$ plane with the Larmor precession frequency. You must do the math to illustrate these points, using the same math that we used in early homework problems.

 * <<la("Last-midterm.pdf", "Last year's midterm exam")>>: There were a bit too many problems. I think this year's exam should be about two problems less.

 * <<la("Review-last-midterm.pdf", "The review summary of the last year's review for the midterm")>>.
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 * '''Quiz 3''', ~-Oct 29-~: <<la("Q03-Symmetry+.pdf", "Virial theorem, Symmetry")>> ~-(<<la("Q03-Symmetry+-w-Sols.pdf", "with solutions")>>)-~
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 * '''Homework 4''', ~-due Oct 29-~: <<la("H04-Hydrogen-like-atom.pdf", "Symmetry, Hydrogren-like atom")>>  * '''Homework 5''', ~-due Nov 12-~: <<la("H05-VP-WKB.pdf", "Variational principle, WKB, Bohr-Sommerfeld")>>

* '''Homework 4''', ~-due Oct <<color(30)>>-~: <<la("H04-Hydrogen-like-atom.pdf", "Symmetry, Hydrogren-like atom")>> ~-(<<la("H04-Hydrogen-like-atom-w-Sols.pdf", "with solutions")>>)-~
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 * '''Homework 3''', ~-due Oct 22-~: <<la("H03-Symmetry+.pdf", "Symmetry+")>>  * '''Homework 3''', ~-due Oct 22-~: <<la("H03-Symmetry+.pdf", "Symmetry+")>> ~-(<<la("H03-Symmetry+-w-Sols.pdf", "with solutions")>>)-~

Exam

We have our midterm coming up next Tuesday (Nov 5). This will be the only in-class exam, as the final exam will be a take-home exam. Here are some resources.

  • Summary of the review session (Nov 2).

    • In addition to what I summarized here, we also discussed problem 6 of the practice midterm briefly. Here is what I said. The setup here boils down to the initial state at $t = 0$, which evolves in time, as governed by the Hamiltonian. The time evolution for this Hamiltonian (constant B field coupling to spin) corresponds to the rotation of the spin around the direction of the magnetic field. Initially, the spin is up along the $z$ direction. So, for part (a), there won't be any change to the state (except for a phase accumulation). For part (b), the state will rotate in the $yz$ plane with the Larmor precession frequency. You must do the math to illustrate these points, using the same math that we used in early homework problems.

  • Last year’s midterm exam: There were a bit too many problems. I think this year's exam should be about two problems less.

  • The review summary of the last year’s review for the midterm.

Quiz

Homework