## Quantum Mechanics II (2020 semester 1)Prof. Matthew Luzum ## Homework- Homework 1 (identical particles -- due March 23);
- Homework 2 (Symmetries 1 -- due March 30);
- Homework 3 (Symmetries 2 -- due April 13);
- Homework 4 (Scattering 1 -- due May 11);
- Homework 5 (Scattering 2 -- due May 25;
## Exams- Midterm 1 - 23 April
- Midterm 2 - 10 June
- Final Exam - 25 June
- 9 March -- Identical particles: Multiparticle states, evolution of multiparticle states, permutation symmetry, indistinguishable particles (Sakurai Ch 6, Shankar Ch 10)
- 12 March -- Identical particles: 2 electron system, more than 2 particles, anyons (Sakurai Ch 6, Shankar Ch 10)
- 16 March -- Identical particles: Young tableaux, (Sakurai Ch 6.5)
- 19 March -- Identical particles: Helium atom, periodic table, nuclear shell model (Sakurai 6.4, Shankar 13.4)
- 23 March -- Symmetries: Continuous symmetries + conservation laws, groups, parity (Sakurai 4, Shankar 11)
- 26 March -- Symmetries: Parity (Sakurai 4, Shankar 11)
- 30 March -- Symmetries: Time reversal (Sakurai 4, Shankar 11)
- 2 April -- Symmetries: Time reversal (Sakurai 4, Shankar 11)
- 13 April -- Symmetries: Lattice Translation (Sakurai 4.3)
- 16 April -- Scattering: Introduction, cross sections, 2-body kinematics
- 27 April -- Scattering: Green's function methods -- Lippmann-Schwinger equation (Sakurai 7.1)
- 30 April -- Scattering: Born approximation, Optical Theorem (Sakurai 7.2-7.3)
- 4 May -- Scattering: Partial waves & phase shifts (Shankar 19.5, Sakurai 7.6)
- 7 May -- Scattering: Partial waves -- Hard Sphere (Sakurai 7.6-7.7)
- 11 May -- Scattering: Partial waves -- Finite spherical well / barrier, Resonance scattering, scattering of identical particles (Sakurai 7.7-7.9)
- 14 May -- Scattering: Symmetry considerations (Sakurai 7.10), Coulomb scattering (Weinberg 7.9)
- 18 May -- Scattering: Eikonal approximation (Shajesh notes), General Scattering Theory - S-matrix and Dyson Formula
- 21 May -- Scattering: General Scattering -- S-matrix, Born, Fermi's golden rule, optical theorem
- 25 May -- Quantum information theory: Classical information theory, Shannon entropy, joint entropy, mutual information, source coding theorem, density matrix (Grazioso, Nielsen & Chuang)
- 28 May -- QIT: density matrix, quantum measurement, discerning (non-)orthogonal states (Grazioso, Nielsen & Chuang)
- 1 June -- QIT: quantum complementarity, Holevo theorem, no-cloning theorem (Grazioso, Nielsen & Chuang)
- ??? -- QIT: applications -- black hole information paradox (Grazioso)
- ??? -- 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 Grades will be based on homework (10%) and the best 2 out of 3 exams (45% 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. |