## Quantum Mechanics II (2020 semester 1)Discussion: Classroom: 2019 (207-C) Prof. Matthew Luzum Office: 3093 You must 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 078807. ## Homework- Homework 1; Solutions; (identical particles -- due March 23);
- Homework 2; Solutions; (Symmetries 1 -- due March 30);
- Homework 3; Solutions; (Symmetries 2 -- due April 13);
- Homework 4; Solutions; (Scattering 1 -- due May 11);
- Homework 5; Solutions; (Scattering 2 -- due May 25);
- Homework 6; (Quantum Information -- due June 15);
## Exams- Midterm 1 - 16 April
- Midterm 2 - 10 June
- Final Exam - 25 June
- 9 March -- Identical particles: Multiparticle states, evolution of multiparticle states, permutation symmetry, indistinguishable particles, 2 electron system (Sakurai Ch 6, Shankar Ch 10)
- 12 March -- Identical particles: more than 2 particles, anyons, Young tableaux (Sakurai Ch 6, Shankar Ch 10)
- 16 March -- Identical particles: Helium atom, periodic table, nuclear shell model (Sakurai 6.4, Shankar 13.4)
- 19 March -- No Lecture
- 23 March (Online) -- Symmetries: Continuous symmetries + conservation laws, groups, parity (Sakurai 4, Shankar 11)
- 26 March (Download Recording, View Recording on Youtube with automatically generated subtitles) -- Symmetries: Parity (Sakurai 4, Shankar 11)
- 30 March -- (Youtube recording) Symmetries: Time reversal (Sakurai 4, Shankar 11)
- 2 April -- (Youtube recording) Symmetries: Time reversal, Lattice translation (Sakurai 4, Shankar 11)
- Semana santa -- no lectures
- 13 April -- (No recording) Scattering: Introduction, cross sections, 2-body kinematics
- 16 April -- Midterm Exam 1 (Symmetries, identical particles)
- 23 April -- (Youtube recording) Scattering: Green's function methods -- Lippmann-Schwinger equation (Sakurai 7.1)
- 27 April -- (Youtube recording) Scattering: Born approximation, Optical Theorem (Sakurai 7.2-7.3)
- 30 April -- (Youtube recording) Scattering: Partial waves & phase shifts (Shankar 19.5, Sakurai 7.6)
- 4 May -- (Youtube recording) Scattering: Partial waves -- Hard Sphere (Sakurai 7.6-7.7)
- 7 May -- (Youtube recording) Scattering: Partial waves -- Finite spherical well / barrier, Resonance scattering, scattering of identical particles (Sakurai 7.7-7.9)
- 11 May -- (Youtube recording) Scattering: Symmetry considerations (Sakurai 7.10), Coulomb scattering (Weinberg 7.9)
- 14 May -- (Youtube recording) Scattering: Eikonal approximation (Shajesh notes), General Scattering Theory - S-matrix and Dyson Formula (Weinberg)
- 18 May -- Cancelled
- 21 May -- (Youtube recording) Scattering: General Scattering -- S-matrix, Born, Fermi's golden rule, optical theorem (Weinberg)
- 25 May -- (Recording) Quantum information theory: Classical information theory, Shannon entropy, joint entropy, mutual information, source coding theorem, density matrix (Grazioso, Nielsen & Chuang)
- 28 May -- (Recording) QIT: density matrix, quantum measurement, discerning (non-)orthogonal states (Grazioso, Nielsen & Chuang)
- 1 June -- (Recording) QIT: quantum complementarity, Holevo theorem, no-cloning theorem; applications -- black hole information paradox (Grazioso, Nielsen & Chuang)
- 4 June -- QIT: applications -- quantum cryptography (Nielsen & Chuang, Mertz, Stumpf)
- Sections 1-3: Identical Particles, Symmetries, Scattering
## Suggested textbooksMain text - J.J. Sakurai, "Modern Quantum Mechanics", (chapter numbers refer to Revised edition, not second edition)
Other texts 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 (depending on time)
List of possible topics (struck topics were covered in QMI, semester 2 of 2019): Bell's inequality, Berry phase, Anderson localization. |