PHYS 487 :: Physics Illinois :: University of Illinois at Urbana-Champaign

 

Schedule

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Week Date Lecture Discussion Homework Reading
1 08/22 Review of Phys486 No Discussion    
08/24 Symmetries and Transformations in Quantum Mechanics 6.1, 6.2
2 08/29 Symmetry and Degeneracy

Discussion 1

solutions

HW1 (due 09/6)

solutions

6.3--6.5
08/31 Symmetry and Degeneracy 6.6, 6.8
3 09/05 Labor Day

Discussion 2

solutions

HW2 (due 9/13)

solutions

7.1
09/07 Time-independent perturbation theory I
4 09/12 Time-independent perturbation theory II

Discussion 3

solutions

HW3 (due 9/20)

solutions

7.1, 7.2
09/14 Degenerate perturbation theory 7.2
5 09/19 Relativistic effects in the hydrogen atom

Discussion 4

solutions

none 7.3.1
09/21 Spin-orbit coupling 7.3.1, 7.3.2
6 09/26 Review No Discussion

HW4 (due 10/4) (due 10/11)

solutions

 
09/28

Midterm 1

Formula Sheet

Solutions

7 10/03 Essential QM problems

Discussion 5

solutions

HW5 (due 10/11)

7.3.2, 4.4.3
10/05 Addition of angular momentum 7.3.2, 4.4.3
8 10/10 Zeeman effect

Discussion 6

solutions

HW5 (due 10/18)

solutions

7.4
10/12 The variational principle 8.1,8.2
9 10/17 The hydrogen ion and the helium atom

Discussion 7

solutions

HW6 (due 10/25)

solutions

8.3, 8.4
10/19 Time dependent Hamiltonians 11.1
10 10/24 Time-dependent perturbation theory

Discussion 8

solutions

HW7 (due 11/1)

solutions

11.1, 11.2
10/26 Emission and absortion of radiation 11.2, 11.3
11 11/31 Spontaneous emission and Fermi's golden Rule

Discussion 9

solutions

none 11.4
11/02 Adiabatic approximation 11.5
12 11/07

Midterm 2

Formula Sheet

Solutions

No Discussion

HW8 (due 11/29)

solutions

11.5
11/09 Adiabatic theorem and geometric phases
13 11/14 coupling to EM fields

Discussion 10

solutions

none 4.5
11/16 Aharonov-Bohm 4.5
14 11/21 Thanksgiving break No Discussion none  
11/23 Thanksgiving break
15 11/28 Free electron gas

Discussion 11

solutions

HW 9 (due 12/06)

solutions

5.3.1
11/30 Electrons in solids 5.3.2
16 12/05 review/synthesis No Discussion none  
12/07 Questions
  12/16

Final exam

Formula sheet