Physics 521, Introduction to Quantum Mechanics II

PHY 521 Introduction to Quantum Mechanics II, Spring 2016

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP373
Office hours:	by appointment (open door policy)
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, course feedback,

Homework

HW	Due Date	Problems

10	Wed, 02/10	HW 10, Rev. B (tex)
11	Mon, 02/22	HW 11, Rev. B (tex)
12	Wed, 03/02	HW 12, Rev. B (tex, fig1)
13	Mon, 04/04	HW 13, Rev. A (tex)
14	Mon, 04/11	HW 14, Rev. A (tex)
15	Mon, 04/25	HW 15, Rev. C (tex)
16	Fri, 04/29	HW 16, Rev. A (tex)

Lecture Notes

Date	Lecture	Reading	Topic

1/13	L51		Introduction; Infinite Square Well on a Disk (notes, nb).
1/15	L52	(4.3.1) [6pp]	Angular Momentum - eigenvalues (notes, commutator properties)

1/18			MLK Day
1/20	L53	(4.3.2) [4]	Angular Momentum - eigenfunctions (notes)	[add]
1/22	L54	(4.4.1) [6]	Spin 1/2 (notes)

1/25	L55	(4.4.2) [6]	Larmor precession (notes)
1/27	L56	(4.4.3) [5]	Addition of Angular Momenta (notes)
1/29		(4)	Review

2/01	L57	(5.1.1) [6]	Bosons and Fermions (notes)
2/03	L58	(5.1.2) [4]	Exchange Forces (notes)	[drop]
2/05	L59	(5.2.1) [5]	Helium (notes)

2/08		(5.2.2) [4]	Periodic Table (see L59 notes)
2/10	L60	(5.3.1) [6]	Free Electron Gas (notes)
2/12	L61	(5.3.2) [6]	Band Structure (notes)

2/15	L62	(5.4.1-2) [6]	Quantum Statistical Mechanics (notes)
2/17	L63	(5.4.3) [3]	Thermal Equilibrium (notes)
2/19	L64	(5.4.4) [4]	Temperature and Chemical Potential (notes)

2/22	L65	(5.4.5) [3]	Blackbody Spectrum (notes)
2/24		(5)	Review
2/26	L66	(6.1.1-2) [6]	Time-Independent Perturbation Theory: Nondegenerate First-Order (notes)

2/29		(6.1.3) [3]	Second-Order Energies
3/02	L67	(6.2.1) [5]	Two-Fold Degeneracy (notes)
3/04		(6.2.2) [5]	Higher-Order Degeneracy

3/08		(4.3-5.4)	Midterm Exam (solution, grades)

3/07	L68	(6.3.1) [5]	Fine Structure of Hydrogen: Relativistic Correction (notes)
3/09		(6.3.2) [5]	Spin-Orbit Coupling
3/11	L69	(6.4.1-2) [4]	Zeeman Effect: Limits (notes)

3/14			Spring Break
3/16			"
3/18			"

3/21		(6.4.3) [2]	Zeeman Effect: Full Solution
3/23	L70	(6.5) [3]	Hyperfine Splitting in Hydrogen (notes)
3/25		(6)	Review

3/28	L72	(7.1) [5]	Variational Principle: Theory (notes)
3/30	L73	(7.2) [5]	Helium Ground State (notes)
4/01	L74	(7.3) [5]	Hydrogen Molecule Ion (notes)	[withdraw]

4/04	L75	(9.1.1) [4]	Time-Dependent Perturbation: Two-Level System (notes)
4/06	L76	(9.1.2) [4]	Transition Probability: Rabi Flopping (notes)
4/08		(9.2.1-2) [5]	Absorption, Stimulated Emission, and Spontaneous Emission

4/11		(9.2.3)	Incoherent Perturbations
4/13	L77	(9.3.1-2) [5]	Einstein's A nd B Coefficients (notes)
4/15	L78	(9.3.3) [4]	Dipole Radiation: Linewidth (notes), Selection Rules (notes)

4/18*	L79,L80	(11.1) [6]	Scatting Cross Sections (scattering experiment, notes)
4/20	L81	(11.2) [6]	Partial Wave Analysis (notes)
4/22	L82	(11.3) [4]	Phase Shifts (notes, nb)

4/25	L83	(11.4.1) [5]	Born Approximation (notes)
4/27	L84	(11.4.2-3)[6]	Born Series (notes)
4/29	L85		Review, Propagators (notes)

5/02	FE	10:30 am	FINAL EXAM (grades, final grades)

		* instructor away on travel

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

Resources
- Wolfram Mathematica Online Integrator
- Bluebit Online Matrix Inverter
- Abramowitz and Stegun, Handbook 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"