Quantum Mechanics II (2021 semester 1)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
Online lecture information
Or, open the Zoom app and click "Join" (or "ingressar") and paste the code 561958509.
The password for the Zoom meeting is 848879.
Homework
Exams- 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
Suggested textbooksMain 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).
ProgramTentative 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.
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