Lectures: Mondays, Thursdays 14:00-16:00
Discussion: Wednesdays 14:00-1600
Classroom: 2019 (207-C)
T.A. ("Monitor"): Felipe Manoel de Sousa Freitas
felipefreitas@usp.br
Prof. Matthew Luzum
Office: 3093
It is recommended to first download the software from https://zoom.us/download .
Then, at the time of the lecture, click this link: https://zoom.us/j/561958509
Or, open the Zoom app and click "Join" (or "ingressar") and paste the code 561958509.
The password for the Zoom meeting is 848879.
Homework 1; Solutions; (identical particles -- due April 4);
Homework 2; Solutions; (Symmetries 1 -- due April 11);
Homework 3; Solutions; (Symmetries 2 -- due April 18);
Homework 4; Solutions; (Scattering 1 -- due May 12);
Homework 5; Solutions; (Scattering 2 -- due May 26);
Homework 6; Solutions; (Density operator -- due June 20);
Midterm 1 - 22 April
Midterm 2 - 7 June
Final Exam - 8 July
25 March (Recording) -- Identical particles: Multiparticle states, evolution of multiparticle states, permutation symmetry, indistinguishable particles, 2 electron system (Sakurai Ch 6, Shankar Ch 10)
29 March (Recording) -- Identical particles: more than 2 particles, anyons, Young tableaux (Sakurai Ch 6, Shankar Ch 10)
1 April (Recording) -- Identical particles: Helium atom, periodic table, nuclear shell model (Sakurai 6.4, Shankar 13.4)
5 April (Recording) -- Symmetries: Continuous symmetries + conservation laws, groups, parity (Sakurai 4, Shankar 11)
6 April (Recording) -- Symmetries: Parity (Sakurai 4, Shankar 11)
12 April (Recording) -- Symmetries: Time reversal (Sakurai 4, Shankar 11)
15 April (Recording Part 1 and Part 2) -- Symmetries: Lattice translation (Sakurai 4)
19 April -- No class
22 April -- Midterm Exam 1 (Symmetries, identical particles)
26 April (Recording) -- Scattering: Introduction, cross sections, 2-body kinematics
29 April (Recording) -- Scattering: Green's function methods -- Lippmann-Schwinger equation (Sakurai 7.1)
3 May (Recording) -- Scattering: Born approximation, Optical Theorem (Sakurai 7.2-7.3)
6 May (Recording) -- Scattering: Partial waves & phase shifts (Shankar 19.5, Sakurai 7.6)
10 May (Recording) -- Scattering: Partial waves -- Hard Sphere (Sakurai 7.6-7.7)
13 May (Recording) -- Scattering: Partial waves -- Finite spherical well / barrier, Resonance scattering, scattering of identical particles (Sakurai 7.7-7.9)
17 May -- No class
20 May (Recording) -- Scattering: Symmetry considerations (Sakurai 7.10), Coulomb scattering (Weinberg 7.9)
24 May (Recording) -- Scattering: Eikonal approximation (Shajesh notes), General Scattering Theory - S-matrix and Dyson Formula (Weinberg)
27 May (Recording) -- Scattering: General Scattering -- S-matrix, Born, Fermi's golden rule, optical theorem (Weinberg)
31 May -- No class
3 June -- Corpus Christi (no class)
7 June -- Midterm Exam 2 (Scattering)
10 June (Recording) -- Quantum entanglement; Density matrix, Shannon entropy, von Neumann entropy (Horodecki)
14 June (Recording) -- Quantum entanglement; entanglement, entanglement entropy, EPR, Bell's inequalities (Horodecki)
17 June -- No class
21 June (Recording) -- Anderson localization; (Domínguez-Adame and Malyshev; Bruns, Haenel, and Tom , numerical solution code)
24 June -- No class
28 June -- No class
1 July -- No class
5 July -- No class
8 July -- Final Exam (symmetries, identical particles, scattering, entanglement, Anderson localization)
Full lecture notes: Identical Particles, Symmetries, Scattering, Entanglement, Anderson localization
Main text
J.J. Sakurai, "Modern Quantum Mechanics", (chapter numbers refer to Revised edition, not second edition)
Other texts
Shankar, Principles of Quantum Mechanics.
Weinberg, Lectures on Quantum Mechanics
The final grade will be an average of the best 2 out of 3 exams (50% each).
Tentative list of topics:
Identical particles
Symmetries and conservation laws
Scattering theory
Other topics (send me suggestions if you have a preference)
List of possible topics:
WKB approximation, Variational methods, Time-dependent perturbation theory, Identical particles, Scattering theory, S-matrix, Eikonal approximation, Interaction radiation/matter, Canonical formalism, Path integrals, Symmetries and conservation laws, Particles in e/m fields, Entanglement, Interpretations of Quantum Mechanics, Basics of quantum computation,
Bell's inequality, Berry phase, Anderson localization.