Quantum Mechanics I (2020 semester 2)
Prof. Matthew Luzum
TA ("monitor"): Davi Bastos Costa <firstname.lastname@example.org>
Mondays, Wednesdays, and Thursdays, 2:00-4:00 pm
Typically, lectures will be Mondays and Thursdays.
Wednesdays will be for discussing the homework problems.
Lecture room: 2024 (212-C)
Virtual lecture room: 293-939-199
Advice for lectures:
Please keep your camera on. It helps for me to know whether to go slower or faster, or to explain something again.
Type questions into the Zoom chat, or raise hand (click "Participants", and then click the button "Raise Hand"). Do this at any time during the lecture.
You can download the lecture notes (see below) before the lecture, so it's easier to follow. However, it is best to also write your own notes during the lecture.
Please send your completed homework as one file to Davi (email@example.com) before 23:59 on the due date. Please use your name as the filename. For example: MatthewLuzumHW1.pdf
Update: Please upload your homework to the Moodle page for the course.
You can complete the homework problems on ordinary paper, and then digitize them with a scanner or camera. Please use a scanning app such as Adobe Scan, Tiny
Scanner, Camscanner, or something similar, to produce a single clean document. If you have no camera or no way to digitize a document, please tell me as soon as possible.
Lectures are scheduled for Mondays, Wednesdays, and Thursdays, 2:00-4:00 pm. Normally, Wednesdays will be used for problem solving sessions.
20 August (Recording) - Structure of QM: Operators; commutators, outer product, resolutions of the identity, Hermitian anti-Hermitian and Unitary operators, spectra (Shankar Ch. 1, Littlejohn lecture notes)
20 August (See above) - Structure of QM: Normalizable and non-normalizable states, measurement, uncertainty principle (Sakurai Ch. 1, Littlejohn lecture notes)
24 August (Recording) - Application of postulates to a physical system -- Stern-Gerlach experiment; Mixed states and the density operator (Littlejohn Stern-Gerlach , Littlejohn density operator, Sakurai Ch. 1)
7 September - No class (Independência do Brasil)
17 September (Recording) - Some topics in 1D wave mechanics
21 September (Recording) - Particle in an electromagnetic field, gauge invariance, Aharonov-Bohm effect (Sakurai Ch 2.7)
24 September - No class
28 September - Exam 1 (Lectures 1-10, Homework 1-5)
12 October - No class (Nossa Senhora Aparecida)
2 November - No class (Finados)
5 November - No class
9 November - No class
12 November - Exam 2 (Lectures 11-18, Homework 6-10)
16 November (Recording) - time-independent perturbation theory; nondegenerate (Sakurai Ch. 5)
19 November (Recording) - degenerate time-independent perturbation theory, variational method (Sakurai Ch. 5)
3 December - Final Exam (All topics from the semester)
Midterm 1 - 28 September (Lectures 1-10, Homework 1-5)
Midterm 2 - 12 November (Lectures 11-18, Homework 6-10)
Final Exam - 3 December (All topics from the semester)
J.J. Sakurai, "Modern Quantum Mechanics"
Shankar, Principles of Quantum Mechanics.
Weinberg, Lectures on Quantum Mechanics
Grades will be based on homework (10%, depending on assignment of a monitor for the course) and the best 2 out of 3 exams (45% each).
The two midterm exams will cover ~50% of the material, and the final exam will review the entire semester. The lowest score of the three exams will be dropped, and the remaining 2 scores will determine 90% of your final grade.
Tentative list of topics:
General structure of quantum mechanics
Angular momentum / spin