Quantum Mechanics II (2017 semester 1)Prof. Matthew Luzum
Homework
Exams- Midterm 1 - 24 April
- Midterm 2 - 5 June
- Final Exam - 26 June
- 13 March -- Identical particles: Multiparticle states, evolution of multiparticle states, permutation symmetry, indistinguishable particles (Sakurai Ch 6, Shankar Ch 10)
- 16 March -- Identical particles: 2 electron system, more than 2 particles, anyons (Sakurai Ch 6, Shankar Ch 10)
- 20 March -- Identical particles: Young tableaux, (Sakurai Ch 6.5)
- 23 March -- Identical particles: Helium atom, periodic table, nuclear shell model (Sakurai 6.4, Shankar 13.4)
- 27 March -- Symmetries: Continuous symmetries + conservation laws, groups, parity (Sakurai 4, Shankar 11)
- 30 March -- Symmetries: Parity (Sakurai 4, Shankar 11)
- 3 April -- Symmetries: Time reversal (Sakurai 4, Shankar 11)
- 6 April -- Symmetries: Time reversal (Sakurai 4, Shankar 11)
- 17 April -- Symmetries: Lattice Translation (Sakurai 4.3)
- 27 April -- Scattering: Introduction, cross sections, 2-body kinematics
- 3 May -- Scattering: Green's function methods -- Lippmann-Schwinger equation (Sakurai 7.1)
- 4 May -- Scattering: Born approximation, Optical Theorem (Sakurai 7.2-7.3)
- 8 May -- Scattering: Partial waves & phase shifts (Shankar 19.5, Sakurai 7.6)
- 11 May -- Scattering: Partial waves -- Hard Sphere (Sakurai 7.6-7.7)
- 15 May -- Scattering: Partial waves -- Finite spherical well / barrier, Resonance scattering, scattering of identical particles (Sakurai 7.7-7.9)
- 22 May -- Scattering: Symmetry considerations (Sakurai 7.10), Coulomb scattering (Weinberg 7.9)
- 25 May -- Scattering: Eikonal approximation (Shajesh notes), General Scattering Theory - S-matrix and Dyson Formula
- 29 May -- Scattering: General Scattering -- S-matrix, Born, Fermi's golden rule, optical theorem
- 8 June -- Quantum information theory: Classical information theory, Shannon entropy, joint entropy, mutual information, source coding theorem, density matrix (Grazioso, Nielsen & Chuang)
- 12 June -- QIT: density matrix, quantum measurement, discerning (non-)orthogonal states (Grazioso, Nielsen & Chuang)
- 14 June -- QIT: quantum complementarity, Holevo theorem, no-cloning theorem (Grazioso, Nielsen & Chuang)
- 19 June -- QIT: applications -- black hole information paradox (Grazioso)
- 22 June -- QIT: applications -- quantum cryptography (Nielsen & Chuang, Mertz, Stumpf)
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
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 2016):
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.
Suggestions from students: - Anderson localization
- Berry Phase/Aharonov-Bohm effect
- Interpretations of Quantum Mechanics
- S-matrix Theory
- Basic of quantum computation
- Entanglement
- Bell's inequality
- Quantum Hall Effect
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 Updating...
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