83 graduate courses in Waterloo’s course catalog for Spring 2023, from UW Open Data. uwloo can’t read that term’s Graduate Calendar, so this stands in for it; the calendar itself is in Waterloo’s archive.
Canonical quantization of fields, perturbation theory, derivation of Feynman diagrams, applications in particle and condensed matter theory, renormalization in phi^4.
LEC · Course ID 013275Graduate Calendar, Spring 2023PHYS 601 today
A brief review of ensembles and quantum gases, Ising model, Landau theory of phase transitions, order parameters, topology, classical solutions.
LEC · Course ID 013276Graduate Calendar, Spring 2023PHYS 602 today
Feynman Path Integral, abelian and nonabelian guage theories and their quantization, spontaneous symmetry breaking, nonperturbative techniques: latticef ield theory, Wilsonian renormalization.
LEC · Course ID 013277Graduate Calendar, Spring 2023PHYS 603 today
Special relativity, foundations of general relativity, Riemannian geometry, Einstein's equations, FRW and Schwarzschild geometries and their properties
LEC · Course ID 013278Graduate Calendar, Spring 2023PHYS 604 today
Schrodinger equation: free particle, harmonic oscillator, simple time-dependent problems. Heisenbrerg picture and connection with classical physics. Entaglement and non-locality. Pure and mixed states, quantum correlators, measurement theory and interpretation.
LEC · Course ID 013279Graduate Calendar, Spring 2023PHYS 605 today
Probability, entropy, Bayesian inference and information theory. Maximum likelihood methods, common probability distributions, applications to real data including Monte-Carlo methods.
LEC · Course ID 013280Graduate Calendar, Spring 2023PHYS 606 today
Maps, flows, stability, fixed points, attractors, chaos, bifurcations, ergodicity, approach to chaos. Hamiltonian systems, Liouville measure, Poincare theorem, integrable systems with examples.
LEC · Course ID 013281Graduate Calendar, Spring 2023PHYS 607 today
Common algorithms for ode and pde solving, with numerical analysis. Common tasks in linear algebra. Focus on how to write a good code, test it, and obtain a reliable result. Parallel programming.
LEC · Course ID 013282Graduate Calendar, Spring 2023PHYS 608 today
This course is an introduction to the key ideas and techniques of conformal field theories. These theories play a central role In the study of phase transitions in statistical physics and condensed matter systems, as well as in string theory. Conformal field theories provide a theoretical laboratory in which the constraints imposed by symmetries allow for the exact solution of field theories, which have found important applications in both physics and mathematics.
LEC · Course ID 013916Graduate Calendar, Spring 2023PHYS 609 today
This course will include the study of Perturbation Theory (Regular and Singular) Speeding Up Convergence: Shanks Transformations and Richardson Extrapolation Taylor Series, Fourier Series and the Gibbs Phenomenon Using Diveregent Series: Generalised Summation Analytic Continuation, Riemann Surfaces and Branch Points Continued Functions and Pade Approximants Steiltjes Functions, the Herglotz Property and the Carleman Bound Feynman Diagrams.
LEC · Course ID 013917Graduate Calendar, Spring 2023PHYS 610 today
Theories of Condensed Matter Physics emphasizing the consequences of broken symmetries and the resulting collective modes which emerge, including broken translational symmetry and phonons, broken spin rotational symmetry and magnons, electronic properties of normal metals, and broken U(1) gauge symmetry in superconductors, excitations above the gap and collective modes in superconductors.
LEC · Course ID 014237Graduate Calendar, Spring 2023PHYS 611 today
FRW metric, Hubble expansion, dark energy, dark matter, CMB. Thermodynamic history of early universe. Growth of perturbations, CDM model of structure formation and comparison to observations, cosmic microwave background anisotropies, inflation and observational tests.
SEM · Course ID 013283Graduate Calendar, Spring 2023PHYS 621 today
Application of Yang-Mills theory to particle physics, QCD and its tests in the perturbative regime, theory of weak interactions, precision tests of electroweak theory, CKM matrix and flavour physics, open questions.
SEM · Course ID 013284Graduate Calendar, Spring 2023PHYS 622 today
Superstring spectrum in 10d Minkowski, as well as simple toroidal and orbifold compactifications. T-duality, D-branes, tree amplitudes. Construct some simple unified models of particle physics. Motivate the 10- and 11-dimensional supergravities. Simple supergravity solutions and use these to explore some aspects of AdS/CFT duality.
SEM · Course ID 013285Graduate Calendar, Spring 2023PHYS 623 today
Differential forms, de Rham cohomology, differential topology and characteristic classes, monopoles and instantons, Kahler manifolds, Dirac equation, zero modes and index theorems.
SEM · Course ID 013286Graduate Calendar, Spring 2023PHYS 624 today
The following topics will be discussed: The Lorentz Group: Properties and Representations; Manipulating Spinors; Supersymmetry Algebra and Representations; Superfields and Superspace; 4d Supersymmetric Lagrangians; Supersymmetry Breaking; Constructing the MSSM; Collider Phenomenology of Supersymmetric Theories; and Dark Matter.
SEM · Course ID 013918Graduate Calendar, Spring 2023PHYS 625 today
Review of selected topics in Quantum Information
SEM · Course ID 013287Graduate Calendar, Spring 2023PHYS 635 today
Review of selected topics in Gravitational Physics
SEM · Course ID 013288Graduate Calendar, Spring 2023PHYS 636 today
Review of selected topics in Condensed Matter Theory
SEM · Course ID 013289Graduate Calendar, Spring 2023PHYS 637 today
Review of selected topics in Quantum Gravity
SEM · Course ID 013290Graduate Calendar, Spring 2023PHYS 638 today
Review of selected topics in Foundations of Quantum Theory
SEM · Course ID 013291Graduate Calendar, Spring 2023PHYS 639 today
Review of selected topics in Quantum Information
SEM · Course ID 013292Graduate Calendar, Spring 2023PHYS 641 today
Review of selected topics in Gravitational Physics
SEM · Course ID 013293Graduate Calendar, Spring 2023PHYS 642 today
Review of selected topics in Condensed Matter Theory
SEM · Course ID 013294Graduate Calendar, Spring 2023PHYS 643 today
Review of selected topics in quantum Gravity
SEM · Course ID 013295Graduate Calendar, Spring 2023PHYS 644 today
Review of Selected topics in Foundations of Quantum Theory
SEM · Course ID 013296Graduate Calendar, Spring 2023PHYS 645 today
Review of selected topics in Particle Physics
SEM · Course ID 013297Graduate Calendar, Spring 2023PHYS 646 today
Review of selected topics in String Theory
SEM · Course ID 013298Graduate Calendar, Spring 2023PHYS 647 today
Review of selected topics in Complex Systems
SEM · Course ID 013299Graduate Calendar, Spring 2023PHYS 648 today
Review of Selected topics in Cosmology
SEM · Course ID 013300Graduate Calendar, Spring 2023PHYS 649 today
This course will introduce the students to the basic techniques and results of the field of loop quantum gravity. Possible topics include: 1) The Ashtekar variables and the Hamiltonian formalism; 2) The Plebanski action for general relativity; 3) The Hilbert space of loop quantum gravity and basic operators such as the area and volume operators; 4) Spin foam models; 5) Group field theory; 6) Quantum black hole horizons.
LEC · Course ID 014776Graduate Calendar, Spring 2023PHYS 650 today
Review of formalism of nonrelativistic quantum mechanics including symmetries and invariance. Approximation methods and scattering theory. Elementary quantum theory of radiation. Introduction to one-particle relativistic wave equations.
LEC · Course ID 002192Graduate Calendar, Spring 2023PHYS 701 today
Concepts of relativistic quantum mechanics, elementary quantum field theory, and Feynman diagrams. Application to many particle systems. Students who have not taken PHYS 701 but have an equivalent background in Quantum Mechanics may seek the instructor's consent to register in this course.
Prereq: PHYS 701 or consent of instructor
LEC · Course ID 002193Graduate Calendar, Spring 2023PHYS 702 today
Review of relativistic quantum mechanics and classical field theory. Quantization of free quantum fields (the particle interpretation of field quanta). Canonical quantization of interacting fields (Feynman rules). Application of the formalism of interacting quantum fields to lowest¿order quantum electrodynamic processes. Radiative corrections and renormalization.
Prereq: PHYS 701 or consent of instructor
LEC · Course ID 000135Graduate Calendar, Spring 2023PHYS 703 today
Statistical basis of thermodynamics; microcanonical, canonical and grand canonical ensembles; quantum statistical mechanics, theory of the density matrix; fluctuations, noise, irreversible thermodynamics; transport theory; application to gases, liquids, solids.
LEC · Course ID 002195Graduate Calendar, Spring 2023PHYS 704 today
Phase transitions. Fluctuation phenomena. Kubo's theory of time correlation functions for transport and spectral properties; applications selected from a variety of topics including linearized hydrodynamics of normal and superfluids, molecular liquids, liquid crystals, surface phenomena, theory of the dielectric constant, etc. Students who have not taken PHYS 704 but have an equivalent background in Statistical Physics may seek the instructor's consent to register in this course.
Prereq: PHYS 704 or consent of instructor
LEC · Course ID 002196Graduate Calendar, Spring 2023PHYS 705 today
Maxwell's equations and conservation laws; accelerated point charges and electromagnetic radiation; multipole expansions; electromagnetism and special relativity; selected applications.
LEC · Course ID 002197Graduate Calendar, Spring 2023PHYS 706 today
Introduction to group theory; symmetry, the group concept, representation theory, character theory. Applications to molecular vibrations, the solid state, quantum mechanics and crystal field theory.
LEC · Course ID 002198Graduate Calendar, Spring 2023PHYS 708 today
Review of essential quantum field theory. Zero and finite temperature Green's functions. Applications.
LEC · Course ID 002199Graduate Calendar, Spring 2023PHYS 709 today
Emphasis on atomic structure and spectroscopy. Review of angular momentum, rotations, Wigner-Eckart theorem, n-j symbols. Energy levels in complex atoms, Hartree-Fock theory, radiative transitions and inner shell processes. Further topics selected with class interest in mind, at least one of which to be taken from current literature.
LEC · Course ID 002200Graduate Calendar, Spring 2023PHYS 710 today
RDG · Course ID 002202Graduate Calendar, Spring 2023PHYS 712 today
Angular momentum and the rotation of molecules; introduction to group theory with application to molecular vibrations; principles of molecular spectroscopy; spectra of isolated molecules; intermolecular interactions and their effects on molecular spectra; selected additional topics (e.g., electronic structure of molecules, experimental spectroscopic techniques, neutron scattering, correlation functions, collision induced absorption, extension of group theory to molecular crystals, normal coordinate analysis, etc.).
LEC · Course ID 002203Graduate Calendar, Spring 2023PHYS 713 today
Laser and nonlinear optics; techniques for controlling laser beams such as mode selection and mode locking; laser spectroscopy.
LEC · Course ID 013590Graduate Calendar, Spring 2023PHYS 714 today
Static properties of nuclei; alpha, beta, gamma-decay; two-body systems; nuclear forces; nuclear reactions; single-particle models for spherical and deformed nuclei; shell, collective, interacting boson models.
LEC · Course ID 009358Graduate Calendar, Spring 2023PHYS 715 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013591Graduate Calendar, Spring 2023PHYS 716 today
Strong, electromagnetic and weak interactions. Isospin, strangeness, conservation laws and symmetry principles. Leptons, hadrons, quarks and their classification, formation, interactions and decay.
LEC · Course ID 002204Graduate Calendar, Spring 2023PHYS 717 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013592Graduate Calendar, Spring 2023PHYS 718 today
Physical properties of atomic liquids; distribution functions and equilibrium properties, elementary perturbation theories and integral equation theories; simple metals, simple computer simulation; viral expansions and thermodynamic derivatives of g(r); experimental determination of g(r).
LEC · Course ID 013597Graduate Calendar, Spring 2023PHYS 730 today
Phonons, electron states, electron-electron interaction, electron-ion interaction, static properties of solids.
LEC · Course ID 002206Graduate Calendar, Spring 2023PHYS 731 today
Transport properties; optical properties; magnetism; superconductivity; disordered systems.
LEC · Course ID 002207Graduate Calendar, Spring 2023PHYS 732 today
RDG · Course ID 002208Graduate Calendar, Spring 2023PHYS 733 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013599Graduate Calendar, Spring 2023PHYS 737 today
Offered on demand. Course content depends on topics and instructor.
LEC · Course ID 013598Graduate Calendar, Spring 2023PHYS 738 today
A modern approach to the quantum many-body problem from the perspective of condensed matter physics. Low energy effective theories, continuum field theories, and lattice models. Phases and phase transitions in the path integral formulation of bosons, fermions and quantum spins. Quantum critical points, topological phases, gauge theories, and connections to quantum information.
LEC · Course ID 015873Graduate Calendar, Spring 2023PHYS 739 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 002215Graduate Calendar, Spring 2023PHYS 745 today
Optoelectronic component fabrication, light propagation in linear and nonlinear media, optical fiber properties, electro-optic and acousto-optic modulation, spontaneous and stimulated emission, semiconductor lasers and detectors, noise effects in fiber systems.
LEC · Course ID 011592Graduate Calendar, Spring 2023PHYS 747 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 002218Graduate Calendar, Spring 2023PHYS 749 today
This course provides an overview of the application of physics to medicine. The physical concepts underlying the diagnosis and treatment of disease will be explored. Topics will include general imaging principles such as resolution, intensity and contrast; x-ray imaging and computed tomography; radioisotopes and nuclear medicine, SPECT and PET; magnetic resonance imaging; ultrasound imaging and radiation therapy.
LEC · Course ID 002219Graduate Calendar, Spring 2023PHYS 751 today
Physical methods of determining macromolecular structure: energetics, intramolecular and intermolecular forces, with applications to lamellar structures, information storage, DNA and RNA, recognition and rejection of foreign molecules.
LEC · Course ID 002220Graduate Calendar, Spring 2023PHYS 752 today
RDG · Course ID 002222Graduate Calendar, Spring 2023PHYS 754 today
RDG · Course ID 002224Graduate Calendar, Spring 2023PHYS 757 today
Experiments to control and characterize quantum systems.
LAB · Course ID 016232Graduate Calendar, Spring 2023PHYS 760 today
Selected advanced experiments in photonics-based quantum technology.
LAB · Course ID 016249Graduate Calendar, Spring 2023PHYS 761 today
Methods in low temperature physics as applied to quantum technology and an introduction to fabrication techniques.
LAB · Course ID 016250Graduate Calendar, Spring 2023PHYS 762 today
A research project in any area of Quantum Technology approved by the course co-ordinator(s). The student is required to present a summary of the project orally and to submit a written report.
PRJ · Course ID 016251Graduate Calendar, Spring 2023PHYS 763 today
Review of basics of quantum information and computational complexity; Simple quantum algorithms; Quantum Fourier transform and Shor factoring algorithm: Amplitude amplification, Grover search algorithm and its optimality; Completely positive trace-preserving maps and Kraus representation; Non-locality and communication complexity; Physical realizations of quantum computation: requirements and examples; Quantum error-correction, including CSS codes, and elements of fault-tolerant computation; Quantum cryptography; Security proofs of quantum key distribution protocols; Quantum proof systems. Familiarity with theoretical computer science or quantum mechanics will also be an asset, though most students will not be familiar with both.
LEC · Course ID 011589Graduate Calendar, Spring 2023PHYS 767 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013593Graduate Calendar, Spring 2023PHYS 768 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013594Graduate Calendar, Spring 2023PHYS 769 today
RDG · Course ID 002227Graduate Calendar, Spring 2023PHYS 771 today
RDG · Course ID 002228Graduate Calendar, Spring 2023PHYS 773 today
At the Director's discretion, a PhD or MSc student may receive course credit for a term of specialized studies at another institution. Formal evaluation is required.
SEM · Course ID 010490Graduate Calendar, Spring 2023PHYS 775 today
Offered on demand. Course content depends on topic and instructor.
RDG · Course ID 013588Graduate Calendar, Spring 2023PHYS 776 today
Offered on demand. Course content depends on topic and instructor.
RDG · Course ID 013589Graduate Calendar, Spring 2023PHYS 777 today
Multi-wavelength astronomy: radio, infrared, optical and x-ray observations. Radiative Processes: macroscopic description, thermal and non-thermal emission, scattering, line transitions and plasma effects. Gravitational Dynamics: potential and orbits, self-gravitating systems, the Collisionless Boltzmann Equation, gravitational encounters. Fluid Mechanics: simple fluids, soundwaves and shocks, instabilities and transport mechanisms.
LEC · Course ID 002230Graduate Calendar, Spring 2023PHYS 781 today
Astronomical observations, including telescopes and instrumentation, data processing and calibration, photometry, astrometry and spectroscopy. Measurement of luminosity functions, spectral energy distributions and other fundamental astrophysical quantities. Data analysis techniques: statistical modelling, hypothesis testing, Bayesian analysis, selection effects, correlations, archives and databases.
Antirequisite: PHYS 771 - Topic 108
LEC · Course ID 015966Graduate Calendar, Spring 2023PHYS 782 today
Review of elementary general relativity. Timelike and null geodesic congruences. Hypersurfaces and junction conditions. Lagrangian and Hamiltonian formulations of general relativity. Mass and angular momentum of a gravitating body. The laws of black-hole mechanics.
LEC · Course ID 010439Graduate Calendar, Spring 2023PHYS 784 today
Introduction to scalar field theory and its canonical quantization in flat and curved spacetimes. The flat space effects of Casimir and Unruh. Quantum fluctuations of scalar fields and of the metric on curved space-times and application to inflationary cosmology. Hawking radiation.
LEC · Course ID 012151Graduate Calendar, Spring 2023PHYS 785 today
Introduction to the differential geometry of Lorentzian manifolds. The priniciples of general relativity. Causal structure and cosmological singularities. Cosmological space-times with Killing vector fields. Friedmann-Lemaitre cosmologies, scalar, vector and tensor perburbations in the linear and nonlinear regimes. De Sitter space-times and inflationary models.
LEC · Course ID 011282Graduate Calendar, Spring 2023PHYS 786 today
Friedmann-Robertson-Walker metric and dynamics; big bang thermodynamics; nucleosynthesis; recombination; perturbation theory and structure formation; anisotropies in the Cosmic Microwave Background; statistics of cosmological density and velocity fields; galaxy formation; inflation.
LEC · Course ID 002232Graduate Calendar, Spring 2023PHYS 787 today
RDG · Course ID 002233Graduate Calendar, Spring 2023PHYS 788 today
RDG · Course ID 002234Graduate Calendar, Spring 2023PHYS 789 today
Offered on demand. Course content depends on topic and instructor.
LEC · Course ID 013595Graduate Calendar, Spring 2023PHYS 790 today
Offered on demand. Course content depends on topics and instructor.
LEC · Course ID 013596Graduate Calendar, Spring 2023PHYS 791 today