Physics 521, Introduction to Quantum Mechanics II

PHY 521 Introduction to Quantum Mechanics II, Spring 2018

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP373
Office hours:	by appointment; recitation Thursday at 8:00-9:30
Class schedule:	M W F 11:00-11:50, CP183
CMS:	Announcements and assignments are managed in Canvas.
Textbook:	David J. Griffiths, "Introduction to Quantum Mechanics," (required)
	Stephen Gasiorowicz, "Quantum Physics" (recommended)

Resources:	syllabus, academic support, (old), course feedback,

Homework

HW	Due Date	Problems

12	Wed, 01/17	HW 12, Rev. A (tex)
13	Wed, 01/24	HW 13, Rev. A (tex)
14	Wed, 01/31	HW 14, Rev. A (tex)
15	Tues, 02/13	HW 15, Rev. A (tex, fig 1, fig 2)
16	Wed, 03/21	HW 16, Rev. A (tex)
17	Wed, 03/28	HW 17, Rev. A (tex)
18	Wed, 04/11	HW 18, Rev. A (tex)
19	Wed, 04/18	HW 19, Rev. A (tex)

Lecture Notes

Date	Reading		Lecture

1/10		L50	Introduction, review of postulates (notes)
1/12	(4.3.1) [6pp]	L51	Angular Momentum (notes)

1/15			MLK Day
1/17		L52	Ladder Operators (notes)	[add]
1/19	(4.3.2) [4]	L53	Coordinate representations (notes)

1/22	(4.4.1) [6]	L54	Spin 1/2 (notes)
1/24			Spin (continued)
1/26	(4.4.2) [6]	L55	Larmor precession (notes)

1/29	(4.4.3) [5]	L56	Addition of Angular Momenta (notes)
1/31	(5.1.1) [6]	L57	Bosons and Fermions (notes)	[drop]
2/02	(5.1.2) [4]	L58	Exchange Forces (notes)

2/05	(5.2) [4]	L59	Atoms: Helium and Periodic Table (notes)
2/07	(5.3.1) [6]	L60	Free Electron Gas (notes)
2/09	(5.3.2) [6]	L61	Band Structure (notes)

2/12	(5.4.1) [6]	L62	Quantum Statistical Mechanics (notes)
2/14	(5.4.2) [3]	L63	Boltzman Entropy and Statistics (notes)
2/16	(5.4.3) [4]	L64	Equilibrium Distribution (notes)

2/19	(5.4.4) [4]	L65	Temperature and Chemical Potential (notes)
2/21	(5.4.5) [3]	L66	Bose-Einstein Condensation (notes)
2/23			continued

2/26	(6.1.1-2) [6]	L67	Time-Independent Perturbation Theory (notes)
2/28	(6.1.3) [3]		Nondegenerate First-Order Theory
3/02	(4.3-5.4)		Midterm Exam (solution, grades)

3/05	(6.2.1) [5]		Second-Order Energies
3/07	(6.2.2) [5]	L68	Two-Fold Degeneracy (notes, mathematica)
3/09	(6.3.1-2) [5]	L69	Fine Structure of Hydrogen: Spin-Orbit Coupling (notes)

3/12			Spring Break
3/14			"
3/16			"

3/19	(6.4.1-2) [4]	L70	Zeeman Effect: Limits (notes)
3/21	(6.4.3) [2]		Zeeman Effect: Full Solution
3/23	(6.5) [3]	L71	Hyperfine Splitting in Hydrogen (notes)

3/26	(7.1) [5]	L72	Variational Principle: Theory (notes)
3/28	(7.2) [5]	L73	Helium Ground State (notes)
3/30	(7.3) [5]	L74	Hydrogen Molecule Ion (notes)	[withdraw]

4/02	(9.1.1-2) [6]	L75	Time-Dependent Perturbation: Two-Level Systems and Rabi Flopping (notes)
4/04	(9.1.3-2.3) [9]	L76	Dipole transitions: Transition Probability of Stimulated Emission (notes)
4/06	(9.3.1) [2]	L77	Einstein's A and B Coefficients: Spontaneous Emission (notes)

4/09	(9.3.2) [3]	L78	Decay rates and Linewidth (notes)
4/11	(9.3.3) [4]	L79	Selection Rules (notes)
4/13	(11.1) [6]	L80	Scatting Cross Sections (scattering experiment, notes)

4/16	(11.2) [6]	L81	Partial Wave Analysis (notes)
4/18	(11.3) [4]	L82	Phase Shifts (notes, nb)
4/20	(11.4.1) [5]	L83	Born Approximation (notes)

4/23	(11.4.2-3) [6]	L84	Born Series (notes)
4/25		L85	Propagators (notes)
4/27		G01	Group Presentations

5/01	Tues 10:30 am	FE	FINAL EXAM (study sheet)
	* instructor away on travel

Applets
- Phet: Fourier Transforms
- Brainflux: TDSE applet
- Benfold: TISE applet

Resources
- James Binney and David Skinner, The Physics of Quantum Mechanics (book)
- Richard Fitzpatrick, Quantum Mechanics (html, pdf, book).
- Wolfram Mathematica Online Integrator
- Octave Online Linear Algebra
- Abramowitz and Stegun, Handbook of Mathematical functions, NIST Digital Library of Mathematical Functions
- Press, Teukolsky, Vetterling, and Flannery, Numerical Recipes in C
- Vector calculus formulas (Griffiths, Jackson)
- Notes on Legendre polynomials and more from Christopher Pope (E&M I, E&M II)

Errata David J. Griffiths, "Introduction to Quantum Mechanics", 2nd ed.
- see author's list at bottom of page
Stephen Gasiorowicz, "Quantum Physics"