Physics 520, Introduction to Quantum Mechanics I

PHY 520 Introduction to Quantum Mechanics I, Fall 2016

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP373
Office hours:	Thursday 12:00
Grader:	Subash Nepal, 7-3941, CP250.
Class schedule:	M W F 11:00-11:50, CP287
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

H01	Fri, 09/02	HW 1, Rev. A (source, fig 1)
H02	Fri, 09/09	HW 2, Rev. B (source)
H03	Fri, 09/16	HW 3, Rev. A (source)
H04	Fri, 09/23	HW 4, Rev. A (source)
H05	Fri, 09/30	HW 5, Rev. B (source)
H06	Fri, 10/07	HW 6, Rev. A (source)
H07	Mon, 10/17	HW 7, Rev. A (source)
H08	Fri, 10/28	HW 8, Rev. A (source)
H09	Fri, 11/04	HW 9, Rev. A (source)
H10	Fri, 11/11	HW 10, Rev. A (source)
H11	Fri, 12/02	HW 11, Rev. B (source)

Lecture Notes

PHY 361

Date	Reading		Lecture

8/24		L00	Introduction to Quantum Mechanics (slides).
8/26	1.3	L01	Planck's law: distributions and quantization (notes).

8/29*	Gas1.1	L02	Planck's law repeated (notes).
8/31	Gas1.4	L03	de Broglie wavelength (notes).
9/02	Gas1.5	L04	Bohr's atom (notes).

9/05			Labour Day
9/07		L05	Anatomy of a wave (notes).
9/09		L06	Wave equation and dispersion (notes).

9/12		L07	Schrodinger Equation and Heisenberg Uncertain Principle (notes).
9/14	Gas2.2	L08	Gaussian Wave Packet (notes).
9/16		L09	Fourier Transform: Heisenberg Uncertainty Principle (notes).

9/19		L10	Evolution of a Wave Packet: Dispersion (notes).
9/21*	1.4	L11	Probability Currents: Unitarity (notes).
9/23*	1.5	L12	Ehrenfest Theorems: Momentum operator (notes).

9/26	2.1	L13	TISE: Separation of Variables (notes).
9/28	2.2	L14	Infinte Square Well (notes).
9/30		L15	Inner Product: Orthonormality and Completeness (notes).

10/03	2.3.1	L15	(continued)
10/05		L16	Harmonic Oscillator: Algebra (notes)
10/07		L16	(continued)

10/10		L16	(continued)
10/12	2.3.2	L17	Harmonic Oscillator: Fobenius (notes)
10/14*	2.5	L19	Delta Function Potential (notes)

10/17		EX1	Review for Exam 1 (study sheet) Thursday 10/20 5:00-8:00 pm CP287 (solution, grades)
10/19		L20	Scattering and Transfer Matrices (notes)
10/21	2.6	L21	Finite Square Well: Bound States (notes)

10/24		L22	Finite Square Well: Scattering States (notes)
10/26	A.1-2,3.1	L23	Hilbert Space: Wave functions (notes)
10/28	A.3-4	L24	Linear Operators: Rotations (notes, mathematica demo, ppt animation)

10/30	A.5-6	L25	Linear Operators: Stretches (notes)
11/02		L26	Adjoint, Unitarity, and Closure (notes)
11/04		L27	Commutation and Simulataneous Diagonalization (notes)

11/07		L28	Simultaneous Diagonalization (matlab script)
11/09	3.2-4	L29	Postulates (notes): Hilbert space, Hermitian operators (notes)
11/11	3.6	L30	2-state system (notes)

11/14	3.5.1-2	L31	Uncertainty Principle: Minimum Uncertainty Wave Packet (notes)
11/16		EX2	Review for Exam 2 (study sheet) Thursday 11/17 5:00-8:00 CP287 (solution, grades)
11/18	3.5.3	L32	Energy-Time Uncertainty Principle: Breit-Wigner Resonance (notes)

11/21	4.1	L33	Three-Dimensional TDSE (notes)
11/23			Thanksgiving
11/25			Thanksgiving

11/28	4.1.1	L34	Curvilinear Laplacian (notes)
11/30	4.1.2	L35	Spherical Harmonics (notes)
12/02	4.2.1	L36	Hydrogen Atom Radial Equation (notes)

12/05	4.2.2	L37	Hydrogen Atom States
12/07		L38	Summary
12/09		G01	Review, group projects (evaluation)

12/14		EXF	Final Exam (study sheet), Chapters 1-4.2 Wednesday 10:30 AM (exam, final grades)
	* 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"