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 Solution	HW1 (due 9/9) solutions
	09/03	Symmetries and conservation laws			6.3--6.5
3	09/08	Symmetries and conservation laws	Discussion 2 Solution	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 Solution	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 Solution	HW4 (due 10/7) solutions Practice problems for MT 1	7.1, 7.2
	09/24	Degenerate perturbation theory			7.2
6	09/29	Synthesis and review Clebsch-Gordan tables	computational HW work session	Computational HW 1: Perturbation Theory (due 10/31)
	10/1	Midterm 1, solutions
7	10/06	Relativistic effects in the hydrogen atom	Discussion 5 Solution	HW5 (due 10/14) solutions	7.3.1
	10/08	Spin-orbit coupling			7.3.2
8	10/13	Zeeman effect	Discussion 6 Solution	HW6 (due 10/21) solutions	7.4
	10/15	Hyperfine splitting
9	10/20	The variational principle	Discussion 7 Solution	HW7 (due 10/28) solutions	8.1,8.2
	10/22	The helium atom			8.3, 8.4
10	10/27	Time dependent Hamiltonians	Discussion 8 Solution	HW8 (due 11/4) solutions	11.1
	10/29	Time-dependent perturbation theory			11.1, 11.2
11	11/3	Emission and absortion of radiation	Discussion 9 solutions	HW 9 (due 11/18) solutions Practice problems for midterm II	11.2, 11.3
	11/5	Spontaneous emission and Fermi's golden Rule			11.4
12	11/10	Midterm 2, solutions	computational HW work session	Computational HW 2: Rabi Oscillations (due 12/10)	11.5
	11/12	Adiabatic approximation
13	11/17	Adiabatic theorem	Discussion 10 solutions	HW 10 (due 12/2) solutions	11.5
	11/19	Geometric phase			4.5
14	11/25	Thanksgiving break
	11/27	Thanksgiving break
15	12/1	coupling to EM fields	Discussion 11 solutions	HW 11 (due 12/9) solutions	4.5
	12/3	Aharanov-Bohm and landau levels			5.3.1
16	12/08	Aharanov-Bohm continued Landau levels	Discussion 12	none	5.3.2
	12/10
	12/11		Reading Day
	12/18	Final exam: 1:30-4:30