**Graduate Studies and Postdoctoral Affairs (GSPA)**

Needles Hall, second floor, room 2201

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For more detailed course information, click on a course title below.

Course ID: 013275

Canonical quantization of fields, perturbation theory, derivation of Feynman diagrams, applications in particle and condensed matter theory, renormalization in phi^4.

Course ID: 013276

A brief review of ensembles and quantum gases, Ising model, Landau theory of phase transitions, order parameters, topology, classical solutions.

Course ID: 013277

Feynman Path Integral, abelian and nonabelian guage theories and their quantization, spontaneous symmetry breaking, nonperturbative techniques:
latticef ield theory, Wilsonian renormalization.

Course ID: 013278

Special relativity, foundations of general relativity, Riemannian geometry, Einstein's equations, FRW and Schwarzschild geometries and their properties

Course ID: 013279

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.

Course ID: 013280

Probability, entropy, Bayesian inference and information theory. Maximum likelihood methods, common probability distributions, applications to real data including Monte-Carlo methods.

Course ID: 013281

Maps, flows, stability, fixed points, attractors, chaos, bifurcations, ergodicity, approach to chaos. Hamiltonian systems, Liouville measure, Poincare theorem, integrable systems with examples.

Course ID: 013282

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.

Course ID: 013916

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.

Course ID: 013917

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.

Course ID: 014237

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.

Course ID: 013283

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.

Course ID: 013284

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.

Course ID: 013285

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.

Course ID: 013286

Differential forms, de Rham cohomology, differential topology and characteristic classes, monopoles and instantons, Kahler manifolds, Dirac equation, zero modes and index theorems.

Course ID: 013918

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.

Course ID: 013287

Review of selected topics in Quantum Information

Course ID: 013288

Review of selected topics in Gravitational Physics

Course ID: 013289

Review of selected topics in Condensed Matter Theory

Course ID: 013290

Review of selected topics in Quantum Gravity

Course ID: 013291

Review of selected topics in Foundations of Quantum Theory

Course ID: 013292

Review of selected topics in Quantum Information

Course ID: 013293

Review of selected topics in Gravitational Physics

Course ID: 013294

Review of selected topics in Condensed Matter Theory

Course ID: 013295

Review of selected topics in quantum Gravity

Course ID: 013296

Review of Selected topics in Foundations of Quantum Theory

Course ID: 013297

Review of selected topics in Particle Physics

Course ID: 013298

Review of selected topics in String Theory

Course ID: 013299

Review of selected topics in Complex Systems

Course ID: 013300

Review of Selected topics in Cosmology

Course ID: 014776

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.

Course ID: 002192

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.

Course ID: 002193

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.

Course ID: 000135

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 lowestÂ¿order quantum electrodynamic processes. Radiative corrections and renormalization.

Course ID: 002195

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.

Course ID: 002196

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.

Course ID: 002197

Maxwell's equations and conservation laws; accelerated point charges and electromagnetic radiation; multipole expansions; electromagnetism and special relativity; selected applications.

Course ID: 002198

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.

Course ID: 002199

Review of essential quantum field theory. Zero and finite temperature Green's functions. Applications.

Course ID: 002200

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.

Course ID: 002203

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.).

Course ID: 013590

Laser and nonlinear optics; techniques for controlling laser beams such as mode selection and mode locking; laser spectroscopy.

Course ID: 009358

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.

Course ID: 013591

Offered on demand. Course content depends on topic and instructor.

Course ID: 002204

Strong, electromagnetic and weak interactions. Isospin, strangeness, conservation laws and symmetry principles. Leptons, hadrons, quarks and their classification, formation, interactions and decay.

Course ID: 013592

Offered on demand. Course content depends on topic and instructor.

Course ID: 013597

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).

Course ID: 002206

Phonons, electron states, electron-electron interaction, electron-ion interaction, static properties of solids.

Course ID: 002207

Transport properties; optical properties; magnetism; superconductivity; disordered systems.

Course ID: 002208

Course ID: 013599

Offered on demand. Course content depends on topic and instructor.

Course ID: 013598

Offered on demand. Course content depends on topics and instructor.

Course ID: 015873

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.

Course ID: 002215

Offered on demand. Course content depends on topic and instructor.

Course ID: 011592

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.

Course ID: 002218

Offered on demand. Course content depends on topic and instructor.

Course ID: 002219

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.

Course ID: 002220

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.

Course ID: 016232

Experiments to control and characterize quantum systems.

Course ID: 016249

Selected advanced experiments in photonics-based quantum technology.

Course ID: 016250

Methods in low temperature physics as applied to quantum technology and an introduction to fabrication techniques.

Course ID: 016251

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.

Course ID: 011589

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.

Course ID: 013593

Offered on demand. Course content depends on topic and instructor.

Course ID: 013594

Offered on demand. Course content depends on topic and instructor.

Course ID: 010490

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.

Course ID: 013588

Offered on demand. Course content depends on topic and instructor.

Course ID: 013589

Offered on demand. Course content depends on topic and instructor.

Course ID: 002230

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.

Course ID: 015966

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.

Course ID: 010439

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.

Course ID: 012151

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.

Course ID: 011282

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.

Course ID: 002232

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.

Course ID: 013595

Offered on demand. Course content depends on topic and instructor.

Course ID: 013596

Offered on demand. Course content depends on topics and instructor.

Needles Hall, second floor, room 2201

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.