2006-2007 University of Guelph Graduate Calendar

VIII. Graduate Programs



* Courses offered annually. Other courses are offered on an alternate year basis and as requested.

Basic Group

PHYS*7010 Quantum Mechanics I * U [0.50]
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.
PHYS*7020 Quantum Mechanics II U [0.50]
Concepts of relativistic quantum mechanics, elementary quantum field theory, and Feynman diagrams. Application to many-particle systems.
Prerequisite(s): 7010 or equivalent
PHYS*7040 Statistical Physics I* U [0.50]
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.
PHYS*7050 Statistical Physics II U [0.50]
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.
Prerequisite(s): PHYS*7040 or equivalent.
PHYS*7060 Electromagnetic Theory * U [0.50]
Solutions to Maxwell's equations; radiation theory, normal modes; multipole expansion; Kirchhoff's diffraction theory; radiating point charge; optical theorem. Special relativity; transformation laws for the electromagnetic field; line broadening. Dispersion; Kramers-Kronig relations. Magnetohydrodynamics and plasmas.
PHYS*7080 Applications of Group Theory U [0.50]
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.
PHYS*7110 Scattering Theory U [0.50]
Review of potential theory of scattering. Applications chosen from elastic- and inelastic-neutron X-ray, light, charged-particle, and atomic and molecular beam scattering.

Subatomic and Nuclear

PHYS*7030 Quantum Field Theory U [0.50]
Review of relativistic quantum mechanics and classical field theory. Quantization of free quantum fields (the particle interpretation of field quants). 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.
Prerequisite(s): PHYS*7010 or equivalent.
PHYS*7090 Green's Function Method U [0.50]
Review of essential quantum field theory. Zero and finite temperature. Green's functions. Applications.
PHYS*7150 Nuclear Physics U [0.50]
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.
PHYS*7170 Intermediate and High Energy Physics U [0.50]
Strong, electromagnetic and weak interactions. Isospin, strangeness, conservation laws and symmetry principles. Leptons, hadrons, quarks and their classification, formation, interactions and decay.
PHYS*7670 Introduction to Quantum Information Processing F [0.50]
Quantum superposition, interference, and entanglement. Postulates of Quantum Mechanics. Quantum computational complexity. Quantum Algorithms. Quantum communication and cryptography. Quantum error correction. Implementations.

Astronomy and Astrophysics

PHYS*7800 Galactic Structure U [0.50]
Introduction to statistical theory and distribution laws. Statistical theory of the galactic system. Stellar motions in the solar vicinity. Galactic rotation. Space distribution of stars and their relation to the galaxy. Distribution of various galactic objects. Application to extra-galactic systems.
PHYS*7810 Astrophysics U [0.50]
The fundamental astronomical data: techniques to obtain it and the shortcomings present. The classification systems. Wide- and narrow-band photometric systems. The intrinsic properties of stars: colours, luminosities, masses, radii, temperatures. Variable stars. Distance indicators. Interstellar reddening. Related topics.
PHYS*7840 Advanced General Relativity W [0.50]
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.
PHYS*7850 Quantum Field Theory for Cosmology U [0.50]
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.
Prerequisite(s): PHYS*7010
PHYS*7860 General Relativity for Cosmology U [0.50]
Introduction to the differential geometry of Lorentzian manifolds. The principles of general relativity. Causal structure and cosmological singularities. Cosmological space-times with Killing vector fields. Friedmann-Lemaitre cosmologies, scalar vector and tensor perturbations in the linear and nonlinear regimes. De Sitter space-times and inflationary models.
PHYS*7870 Cosmology U [0.50]
Friedmann-Robertson-Walker metric and dynamics; big bang thermodynamics; nucelosynthesis; recombination; perturbation theory and structure formation; anisotropies in the Cosmic Microwave Background; statistics of cosmological density and velocity fields; galaxy formation; inflation.

Atomic and Molecular

PHYS*7100 Atomic Physics U [0.50]
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 is to be taken from current literature.
PHYS*7130 Molecular Physics U [0.50]
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 co-ordinate analysis, etc.).

Condensed Matter (Including Chemical Physics, and Conductivity and Superconductivity)

PHYS*7200 Liquid State Physics U [0.50]
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).
PHYS*7310 Solid State Physics I U [0.50]
Phonons, electron states, electron-electron interaction, electron-ion interaction, static properties of solids.
PHYS*7320 Solid State Physics II U [0.50]
Transport properties; optical properties; magnetism; superconductivity; disordered systems.
PHYS*7350 Photoconductivity and Luminescence U [0.50]
Electron processes in crystals, photoconductive processes. Electrode effects, imperfection and energy band transitions, scattering traps and trapping effects. Recombination kinetics, luminescence. Experimental methods and analysis.
PHYS*7360 Optical Properties of Semiconductors U [0.50]
Reflection and refraction of electromagnetic waves at dielectric and conducting interfaces. Dispersion, absorption processes, photo effects, magneto-optical effects, emission of radiation.
PHYS*7650 Quantum Theory of Solid Surfaces U [0.50]
Brief historical review. Molecular orbital approach to surface and chemisorption states. Use of Kronig-Penny, Mathieu potential and Nearly-Free-Electron models. Crystal composition, next-nearest-neighbour interactions, sp- hybridization and applied-field effects on surface states will be discussed.


PHYS*7510 Cellular Biophysics U [0.50]
The physics of cellular structure and function; membrane theories, diffusion and active transport, bioelectric phenomena; intracellular motion, thermodynamics; selected topics of current interest and seminar.
PHYS*7520 Molecular Biophysics U [0.50]
Physical methods of determining macromolecular structure: energetics, intramolecular and intermolecular forces, with application to lamellar structures, information storage, DNA and RNA, recognition and rejection of foreign molecules.
PHYS*7530 Radiation Biophysics U [0.50]
Physical properties and biological effects of different kinds of radiation: action of radiation on various cellular constituents: target theory, genetic effects, repair of radiation damage, physics of radiology and radiotherapy, isotropic tracers.
PHYS*7550 Biophysics of Organ Systems U [0.50]
Specialized cells and organs; the nerve impulse and its propagation, muscle contraction, sensory transducers, the central nervous system; haemodynamics, the red-blood corpuscle, homeostasis; selected topics of current interest, and seminar.
PHYS*8900 Interuniversity Graduate Course in Biophysics U [0.50]
This graduate course is offered using the combined biophysical resources of the Universities of Brock, Guelph, McMaster and Waterloo. Three topics constitute the equivalent of a one-semester 3 hr./week graduate course. Information about the course and the selection of individual topics can be obtained from the departmental course co-ordinator. Registration and credit will occur in the semester of the last module.

Applied Physics (including Technical Methods)

PHYS*7410 Electron Microscopy and Electron Diffraction U [0.50]
Introduction to electron optics and the electron microscope; kinematical and dynamical theories of electron diffraction by perfect crystals and by crystals containing lattice imperfections, limited-area electron diffraction, dark- field microscopy, interpretation of electron-diffraction patterns and diffraction-contrast effects in electron microscope images, selected experimental methods in electron microscopy.
PHYS*7420 Basic Theory of Nuclear Magnetic Resonance * U [0.50]
Quantum mechanics of spins in magnetic field; Bloch equations; NMR apparatus; the various nuclear-spin interactions; spin temperature; density matrix; spin-lattice relaxation; double resonance.
PHYS*7450 Selected Topics in Experimental Physics * U [0.50]
A modular course in which each module deals with an established technique of experimental physics. Four modules will be offered during the winter and spring semesters, but registration and credit will be in the spring semester. Typical topics are neutron diffraction, light scattering, acoustics, molecular beams, NMR, surface analysis, etc.
PHYS*7460 Nonlinear Optics U [0.50]
Classical and Quantum Mechanical descriptions of nonlinear susceptibility, nonlinear wave propogation, nonlinear effects such as Peckel's and Kerr effects, harmonic generation, phase conjugation and stimulated scattering processes.
PHYS*7470 Optical Electronics U [0.50]
Optoelectronic component fabrication, light propogation in linear and nonlinear media, optical fiber properties, electro-optic and acousto-optic modulation, spontaneous and stimulated emission, semiconductor lasers and detectors, nose effects in fiber systems.
PHYS*7480 Microprocessors in the Physics Laboratory U [0.50]
Interfacing and programming of microprocessors for applications in physics, including signal averaging, auto- and cross-correlation analysis, multichannel spectrum analysis, and Fourier transformation. Consideration of hardware versus software methods for optimization of speed and system size.

Special Courses (offered on demand only)

PHYS*7750 Interinstitution Exchange U [0.50]
At the director's discretion, a PhD student may receive course credit for a term of specialized studies at another institution. Formal evaluation is required.
PHYS*7970 MSc Project U [1.00]
Study of a selected topic in physics presented in the form of a written report. For students whose MSc program consists entirely of courses