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, 2body kinematics
 3 May  Scattering: Green's function methods  LippmannSchwinger equation (Sakurai 7.1)
 4 May  Scattering: Born approximation, Optical Theorem (Sakurai 7.27.3)
 8 May  Scattering: Partial waves & phase shifts (Shankar 19.5, Sakurai 7.6)
 11 May  Scattering: Partial waves  Hard Sphere (Sakurai 7.67.7)
 15 May  Scattering: Partial waves  Finite spherical well / barrier, Resonance scattering, scattering of identical particles (Sakurai 7.77.9)
 22 May  Scattering: Symmetry considerations (Sakurai 7.10), Coulomb scattering (Weinberg 7.9)
 25 May  Scattering: Eikonal approximation (Shajesh notes), General Scattering Theory  Smatrix and Dyson Formula
 29 May  Scattering: General Scattering  Smatrix, 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, nocloning 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, Timedependent perturbation theory, Identical particles, Scattering theory, Smatrix, 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/AharonovBohm effect
 Interpretations of Quantum Mechanics
 Smatrix Theory
 Basic of quantum computation
 Entanglement
 Bell's inequality
 Quantum Hall Effect

Updating...
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