PHYS 487 :: Physics Illinois :: University of Illinois Urbana-Champaign
PHYS 487 :: Physics Illinois :: University of Illinois Urbana-Champaign
Schedule
The reading assignments refer to chapters in Griffiths, Introduction to Quantum Mechanics, 3rd Ed. Exact lecture dates for the topics may shift as we go through the course. Computational assignments are found here.
Lecture notes for each week's lectures will be posted Wednesday or Thursday. They are provided as a help in looking back what was covered, not to replace reading, or taking your own notes during lecture. Use them at your own risk; they may contain typos.
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Discussion notes can be found here.
| Week | Date | Lecture | Discussion | Homework | Reading |
|---|---|---|---|---|---|
| 1 | 08/24 | Review of Phys 486 | No Discussion | ||
| 08/26 | Symmetries and Transformations in Quantum Mechanics | 6.1, 6.2 | |||
| 2 | 08/31 | Symmetries and conservation laws |
HW1 (due 9/8) |
6.3--6.5 | |
| 09/02 | Symmetries and conservation laws | 6.6, 6.8 | |||
| 3 | 09/07 | Labor Day |
HW2 (due 9/15) |
4.4.3 |
|
| 09/09 | |||||
| 4 | 09/14 | HW3 (due 9/22) |
4.4.3 |
||
| 09/16 | 7.1, 7.2 | ||||
| 5 | 09/21 | Time-independent perturbation theory II |
HW4 (due 9/29) |
7.1, 7.2 | |
| 09/23 | Degenerate perturbation theory | 7.2 | |||
| 6 | 09/28 |
|
HW5 (due 10/13) solutions |
7.3.1 | |
| 09/30 | |||||
| 7 | 10/05 |
Synthesis and review |
(No discussion) |
|
|
| 10/07 |
Midterm 1, solutions |
7.3.2 | |||
| 8 | 10/12 | Spin-orbit coupling |
HW6 (due 10/20) solutions |
7.4 | |
| 10/14 | no lecture | ||||
| 9 | 10/19 | Zeeman effect (strong and weak) |
HW7 (due 10/27) solutions |
8.1,8.2 | |
| 10/21 | Hyperfine splitting, the variational principle | 8.3, 8.4 | |||
| 10 | 10/26 | Time-dependent Hamiltonians |
Discussion 8 |
HW8 (due 11/3) solutions |
11.1 |
| 10/28 | Time-dependent perturbation theory | 11.1, 11.2 | |||
| 11 | 11/2 | Emission and absortion of radiation |
Discussion 9 |
HW 9 (due 11/17) solutions Practice problems for midterm II |
11.2, 11.3 |
| 11/4 | Spontaneous emission | 11.4 | |||
| 12 | 11/9 |
review |
(No discussion) |
|
11.5 |
| 11/11 | Midterm 2, solutions | ||||
| 13 | 11/16 | Adiabatic approximation |
Discussion 10 |
HW 10 (due 12/1) solutions |
11.5 |
| 11/18 | Adiabatic theorem | 4.5 | |||
| 14 | 11/24 | Thanksgiving break | |||
| 11/26 | Thanksgiving break | ||||
| 15 | 11/30 | Geometric phase, coupling to E&B fields |
Discussion 11 |
HW 11 (due 12/9) solutions |
4.5 |
| 12/02 | Aharanov-Bohm and Landau levels | 5.3.1 | |||
| 16 | 12/07 | Landau levels | Discussion 12 | practice problems for the final | 5.3.2 |
| 12/09 | Bloch sphere and density matrices | ||||
| 12/10 | Reading Day |
|
|||
| 12/17 |
Final exam: 1:30-4:30 pm, Loomis 144 |
