Physics 520, Introduction to Quantum Mechanics I

PHY 520 Introduction to Quantum Mechanics I, Fall 2017

Course Information:

Instructor:	Christopher B. Crawford, 7-2504, CP373
Office hours:	by appointment; recitation Thursday at 8:00-9:30
Grader:	John Gruenwald, 7-5238, CP390.
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, (old), course feedback,

Homework

HW	Due Date	Problems

H01	Wed, 09/06	HW 1, Rev. C (source)
H02	Wed, 09/13	HW 2, Rev. B (source, fig 1)
H03	Wed, 09/20	HW 3, Rev. A (source)
H05	Mon, 10/09	HW 5, Rev. A (source)
H06	Mon, 10/16	HW 6, Rev. A (source)
H07	Mon, 10/25	HW 7, Rev. A (source)
H08	Wed, 11/01	HW 8, Rev. A (source)
H09	Wed, 11/08	HW 9, Rev. A (source)
H10	Wed, 11/15	HW 10, Rev. A (source)
H11	Mon, 12/04	HW 11, Rev. B (source)

Lecture Notes

PHY 361

Date	Reading		Lecture

8/23		L00	Introduction to Quantum Mechanics (slides).
8/25	1.3	L01	Distributions and Probability (notes).

8/28	Gas1.1	L02	Planck's law: quantization (notes).
8/30	Gas1.5	L03	Bohr's model of the atom (notes).
9/01	Gas1.4	L04	de Broglie matter waves (notes).

9/04			Labour Day
9/06	1.2	L05	Anatomy of a wave (notes).
9/08	Gas2.2	L06	Wave packets and group velocity (notes).

9/11	1.6	L07	Heisenberg Uncertainty Principle (notes).
9/13		L08	Wave equation and Dispersion Relation (notes).
9/15	1.1	L09	Time-Depdendent Schrodinger Equation (notes).

9/18	1.4	L10	Probability Current: Unitarity (notes).
9/20	1.5	L11	Ehrenfest Theorems: Momentum operator (notes).
9/22	2.1	L12	TISE: Separation of Variables (notes).

9/25	2.2	L13	Infinte Square Well (notes).
9/27	A.2	L14	Inner Product: Orthonormality and Completeness (notes).
9/29		L15	Infinite Square Well: Observables (notebook)

10/02		EX1	Exam 1 (study sheet, exam, solution, grades)
10/04	2.3.1	L16	Harmonic Oscillator: Commutator (notes)
10/06		L17	Harmonic Oscillator: Adjoint (notes)

10/09		L18	Harmonic Oscillator: Operator albebra (notes)
10/11	2.3.2	L19	Harmonic Oscillator: Fobenius method (notes)
10/13	2.4	L20	Disperson: Propagation of a free particle (notes)

10/16	2.5.1	L21	Delta Function Potential (notes)
10/18	2.5.2	L22	Scattering and Transfer Matrices (notes)
10/20	2.6	L23	Finite Square Well: Bound States (notes)

10/23		L24	Finite Square Well: Scattering States (notes)
10/25	A.1-2,3.1	L25	Hilbert Space: Wave functions (notes)
10/27*	A.3-4	L26	Linear Operators: Rotations (notes, mathematica demo, ppt animation)

10/29	A.5-6	L27	Linear Operators: Stretches (notes)
11/01		L28	Adjoint, Unitarity, and Closure (notes)
11/03		L29	Commutation and Simultaneous Diagonalization (notes)

11/06		L30	Simultaneous Diagonalization (matlab script)
11/08	3.2-4	L31	Postulates (notes): Hilbert space, Hermitian operators (notes)
11/10	3.6	L32	2-state system (notes)

11/13	3.5.1-2	L33	Uncertainty Principle: Minimum Uncertainty Wave Packet (notes)
11/15	3.5.3	L34	Energy-Time Uncertainty Principle: Breit-Wigner Resonance (notes)
11/17	4.1	L35	Three-Dimensional TDSE (notes)

11/20	2-3	EX2	Exam 2 (study sheet) (solution, grades)
11/22			Thanksgiving
11/24			Thanksgiving

11/27	4.1.1	L36	Curvilinear Laplacian (notes)
11/29	4.1.2	L37	Spherical Harmonics (notes)
12/01	4.2.1	L38	Hydrogen Atom Radial Equation (notes)

12/04	4.2.2	L39	Hydrogen Atom States
12/06		G01	Group projects (evaluation)
12/08		G02	Group projects (evaluation)

12/12	1.1-4.2	EXF	Final Exam (study sheet), Tuesday 10:30 AM (exam)
	* 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"