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.

If you have any issues logging in to view any of the secured documents below, please try adding "uofi\" (without the quotes) in front of your netid.

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 

Discussion 1
Solution

HW1 (due 9/8)

solutions

6.3--6.5
09/02 Symmetries and conservation laws 6.6, 6.8
3 09/07 Labor Day

Discussion 2
Solution

HW2 (due 9/15)

solutions

 

4.4.3

09/09

Addition of angular momentum

4 09/14

Addition of angular momentum 

Discussion 3
Solution

HW3 (due 9/22)

solutions

4.4.3

09/16

Time-independent perturbation theory I

Clebsch-Gordon coefficients

7.1, 7.2
5 09/21 Time-independent perturbation theory II

Discussion 4
Solution

HW4 (due 9/29)

solutions

7.1, 7.2
09/23 Degenerate perturbation theory 7.2
6 09/28

Degenerate perturbation theory

Discussion 5
Solution

 

Practice problems for MT 1

HW5 (due 10/13)

solutions

7.3.1
09/30

Relativistic effects in the hydrogen atom

7 10/05

Synthesis and review

(No discussion)

 

 

 
10/07

 Midterm 1, solutions

7.3.2
8 10/12 Spin-orbit coupling

Discussion 6
Solution

HW6 (due 10/20)

solutions

7.4
10/14 no lecture  
9 10/19 Zeeman effect (strong and weak)

Discussion 7
Solution

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
Solution

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
Solution

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
Solution

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
Solution

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