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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Week | Date | Lecture | Discussion | Homework | Reading |
---|---|---|---|---|---|
1 | 08/25 | Review of Phys486 | No Discussion | ||
08/27 | Symmetries and Transformations in Quantum Mechanics | 6.1, 6.2 | |||
2 | 09/01 | Labor Day |
Discussion 1 solutions |
HW1 (due 9/9) solutions |
|
09/03 | Symmetries and conservation laws | 6.3--6.5 | |||
3 | 09/08 | Symmetries and conservation laws |
Discussion 2 solutions |
HW2 (due 9/16) solutions |
6.6, 6.8 4.4.3 |
09/10 |
Addition of angular momentum |
||||
4 | 09/15 |
Addition of angular momentum |
Discussion 3 solutions |
HW3 (due 9/23)
solutions |
4.4.3 |
09/17 | Time-independent perturbation theory I | 7.1, 7.2 | |||
5 | 09/22 | Time-independent perturbation theory II |
Discussion 4 solutions |
HW4 (due 10/7) solutions |
7.1, 7.2 |
09/24 | Degenerate perturbation theory | 7.2 | |||
6 | 09/29 |
Synthesis and review |
computational HW work session |
|
|
10/1 |
Midterm 1, solutions |
||||
7 | 10/06 | Relativistic effects in the hydrogen atom |
Discussion 5 solutions |
HW5 (due 10/14) solutions |
7.3.1 |
10/08 | Spin-orbit coupling | 7.3.2 | |||
8 | 10/13 | Zeeman effect |
Discussion 6 solutions |
HW6 (due 10/21) solutions |
7.4 |
10/15 | The variational principle | 8.1,8.2 | |||
9 | 10/20 | The hydrogen ion and the helium atom |
Discussion 7 solutions |
HW7 (due 10/28) solutions |
8.3, 8.4 |
10/22 | Time dependent Hamiltonians | 11.1 | |||
10 | 10/27 | Time-dependent perturbation theory |
Discussion 8 solutions |
HW8 (due 11/4) solutions |
11.1, 11.2 |
10/29 | Emission and absortion of radiation | 11.2, 11.3 | |||
11 | 11/3 | Spontaneous emission and Fermi's golden Rule |
Discussion 9 solutions |
HW 9 (due 11/18) solutions |
11.4 |
11/5 | Adiabatic approximation | 11.5 | |||
12 | 11/10 |
Midterm 2, solutions |
computational HW work session |
|
11.5 |
11/12 | Adiabatic theorem | ||||
13 | 11/17 | Geometric phase |
Discussion 10 solutions |
HW 10 (due 12/2) solutions |
4.5 |
11/19 | coupling to EM fields | 4.5 | |||
14 | 11/25 | Thanksgiving break | |||
11/27 | Thanksgiving break | ||||
15 | 12/1 | Aharanov-Bohm and landau levels |
Discussion 11 solutions |
HW 11 (due 12/9) solutions |
5.3.1 |
12/3 | Aharanov-Bohm continued Landau levels | 5.3.2 | |||
16 | 12/08 | Discussion 12 | none | ||
12/10 | |||||
12/18 |
Final exam: 1:30-4:30 |