- 10 Oct: This week, we will meet on Tuesday 10:30-12:00, Wednesday 13:30-15:00, and finally Thursday (online) 10:30-12:00 to finish off this course.
- 4 Oct: The due date for HW2 is moved to Friday, October 7th
- 4 Oct: The last homework set is out. It should be due some time in the week of October 17th to 21st. Beware that it contains 6 problems, so manage your time well.
- 24 Sep: The full homework set 2 (now v3) is out.
- 19 Sep: The due date for HW1 is moved to Wednesday, September 21st
- 6 Sep: The make-up class on Thursday, September 8th will be from 13:30 to 15:00.
- 6 Sep: Homework 1 (v3) is out. Due to the fact that you will be having the midterm exam on September 14th, the tentative due date of the homework is Monday, September 19th (midnight, before Tuesday).
- [C-T] Quantum Mechanics, Claude Cohen-Tannoudji, Bernard Diu, and Franck Laloë, Volumes 1 and 2 (1977)
- [Bal] Quantum Mechanics: A Modern Development, Leslie E. Ballentine (1998)
| Homework | Date | Topics | Lecture note | Resources | Additional resources |
|---|---|---|---|---|---|
| T 30 Aug | Interlude, Review of postulates of quantum mechanics, Wigner's theorem, Ehrenfest theorem | ||||
| W 31 Aug | No tutorial class | ||||
| Th 1 Sep | No class (We Are IF activity) | ||||
| HW1v3 OUT DUE W 21 Sep |
T 6 Sep | Simple Harmonic Oscillator (SHO) I: Heisenberg equations of motion, ladder operators, the spectrum | SHO I-III | C-T: V BV GV |
Harmonic oscillators and coherent states, Robert G. Littlejohn |
| W 7 Sep | Moved to the afternoon of Th 8 Sep | ||||
| Th 8 Sep | SHO II: The spectrum (cont.), reminders about wave mechanics, statistical moments in stationary states | ||||
| Th 8 Sep 13:30-15:00 (Special time!) |
SHO III: Coherent states and classical behavior | ||||
| T 13 Sep | Coherent states (cont.) and summary. Two-level systems I: polarization and Poincaré sphere | Two-level systems I-III | C-T: IV AIV BIV (EIV) (FIV) |
Animation of linear, circular, and elliptical polarization | |
| W 14 Sep | No tutorial class (Midterm exam) | ||||
| Th 15 Sep | Two-level systems II: Poincaré/Bloch sphere geometry, Pauli matrix algebra | ||||
| T 20 Sep | Two-level systems III: Poincaré/Bloch sphere geometry (cont.) | Notes on Einstein summation convention from my Classical Electrodynamics course |
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| W 21 Sep | Angular momentum I: General properties | Angular Momentum I-II | C-T: VI AVI BVI Bal: 7.1-7.6 |
||
| HW2v3 OUT DUE F 7 Oct |
Th 22 Sep | Angular momentum II: General properties (cont.), the spectrum | |||
| T 27 Sep | Symmetries and transformations I: group representations and Lie algebras, the translation group | Symmetries and angular momentum III | Walter Appel, Mathematics for Physics and Physicists | ||
| W 28 Sep | HW1 discussion | ||||
| Th 29 Sep | Symmetries and transformations II: The rotation group | ||||
| HW3 OUT DUE Su 23 Oct |
T 4 Oct | Angular momentum III: spherical harmonics | |||
| W 5 Oct | No tutorial class | ||||
| Th 6 Oct | Addition of angular momenta I: Tensor product | Addition of angular momenta I-II | C-T: X (Vol.2) DX EX Bal: 7.5-7.8 |
Ballentine's and Zettili's notational error regarding spherical tensors, G.A. Raggio | |
| T 11 Oct 10:30-12:00 (Special time!) | Addition of angular momenta II: Clebsch-Gordan series | ||||
| W 12 Oct | Addition of angular momenta III: Spherical vector and tensor operators | ||||
| Th 13 Oct 10:30-12:00 (Special time!) | Addition of angular momenta IV: Wigner-Eckart theorem and its applications: superselection rules | Note from the online lecture | |||
| Take-home exam | 7-9 Nov |
For the whole course
- 40% Assignments (3 assignments for my parts)
- 30% Midterm exam
- 30% Final exam
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