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Program Requirements
The B.Sc.; Honours in Physics provides a broad view of physics from classical to modern topics as well as a choice of specialized high level courses relevant for contemporary research. The students have the opportunity to participate in research.
This is a demanding program. This program may be completed in 78 or 81 credits.
Program Prerequisites
Students entering Physics programs from the Freshman program must have successfully completed the courses below or their equivalents. Quebec students must have completed the DEC with appropriate science and mathematics courses.
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CHEM 110 General Chemistry 1 (4 credits)
Overview
Chemistry : A study of the fundamental principles of atomic structure, radiation and nuclear chemistry, valence theory, coordination chemistry, and the periodic table.
Terms: Fall 2023
Instructors: Sirjoosingh, Pallavi; Kakkar, Ashok K; McKeague, Maureen; Gauthier, Jean-Marc (Fall)
Fall
Prerequisites/corequisites: College level mathematics and physics or permission of instructor; CHEM 120 is not a prerequisite
Each lab section is limited enrolment
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CHEM 120 General Chemistry 2 (4 credits)
Overview
Chemistry : A study of the fundamental principles of physical chemistry.
Terms: Winter 2024
Instructors: Sirjoosingh, Pallavi; Sewall, Samuel Lewis; Wiseman, Paul; Gauthier, Jean-Marc; Denisova, Irina (Winter)
Winter
Prerequisites/corequisites: College level mathematics and physics, or permission of instructor: CHEM 110 is not a prerequisite
Each lab section is limited enrolment
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MATH 133 Linear Algebra and Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases. Linear transformations. Eigenvalues and diagonalization.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Trudeau, Sidney; Collins-Woodfin, Elizabeth; Branchereau, Romain (Fall) Gerbelli-Gauthier, Mathilde (Winter) Bellemare, Hugues (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: a course in functions
Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
Restriction B: Not open to students who have taken or are taking MATH 123, except by permission of the Department of Mathematics and Statistics.
Restriction C: Not open to students who are taking or have taken MATH 134.
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PHYS 131 Mechanics and Waves (4 credits)
Overview
Physics : The basic laws and principles of Newtonian mechanics; oscillations, waves, and wave optics.
Terms: Fall 2023
Instructors: Pereg-Barnea, Tami (Fall)
Fall
3 hours lectures; 1 hour tutorial, 3 hours laboratory in alternate weeks; tutorial sessions
Corequisite: MATH 139 or higher level calculus course.
Restriction(s): Not open to students who have taken or are taking PHYS 101, or who have taken CEGEP objective 00UR or equivalent.
Laboratory sections have limited enrolment
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PHYS 142 Electromagnetism and Optics (4 credits)
Overview
Physics : The basic laws of electricity and magnetism; geometrical optics.
Terms: Winter 2024
Instructors: Guo, Hong (Winter)
Winter
3 hours lectures, 3 hours laboratory in alternate weeks; tutorial sessions
Prerequisite: PHYS 131.
Corequisite: MATH 141 or higher level calculus course.
Restriction: Not open to students who have taken or are taking PHYS 102, or who have taken CEGEP objective 00US or equivalent.
Laboratory sections have limited enrolment
7-8 credits from:
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MATH 140 Calculus 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Fortier, Jérôme; Cant, Dylan; Fu, Hao (Fall) Fortier, Jérôme (Winter) Sajjad, Alia (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: High School Calculus
Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
Restriction: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
Each Tutorial section is enrolment limited
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MATH 141 Calculus 2 (4 credits)
Overview
Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Sroka, Marcin; Cairns, Hannah (Fall) Trudeau, Sidney; Macdonald, Jeremy; Mazakian, Hovsep (Winter) Mazakian, Hovsep; Abi Younes, Elio (Summer)
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MATH 150 Calculus A (4 credits)
Overview
Mathematics & Statistics (Sci) : Functions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.
Terms: Fall 2023
Instructors: Roth, Charles (Fall)
Fall
3 hours lecture, 2 hours tutorial
Students with no prior exposure to vector geometry are advised to take MATH 133 concurrently. Intended for students with high school calculus who have not received six advanced placement credits
Restriction: Not open to students who have taken CEGEP objective 00UN or equivalent
Restriction Note B: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
MATH 150 and MATH 151 cover the material of MATH 139, MATH 140, MATH 141, MATH 222
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MATH 151 Calculus B (4 credits)
Overview
Mathematics & Statistics (Sci) : Integration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.
Terms: Winter 2024
Instructors: Roth, Charles (Winter)
Winter
3 hours lecture; 2 hours tutorial
Each Tutorial section is enrolment limited
Prerequisite: MATH 150
Restriction: Not open to students who have taken CEGEP objective 00UP or equivalent
Restriction: Not open to students who have taken or are taking MATH 122, except by permission of the Department of Mathematics and Statistics
Restriction: Not open to students who have taken MATH 152
Note: Either MATH140 and MATH141 or MATH150 and MATH151.
Required Courses (51 credits)
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MATH 247 Honours Applied Linear Algebra (3 credits)
Overview
Mathematics & Statistics (Sci) : Matrix algebra, determinants, systems of linear equations. Abstract vector spaces, inner product spaces, Fourier series. Linear transformations and their matrix representations. Eigenvalues and eigenvectors, diagonalizable and defective matrices, positive definite and semidefinite matrices. Quadratic and Hermitian forms, generalized eigenvalue problems, simultaneous reduction of quadratic forms. Applications.
Terms: Winter 2024
Instructors: Hoheisel, Tim (Winter)
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MATH 248 Honours Vector Calculus (3 credits)
Overview
Mathematics & Statistics (Sci) : Partial derivatives and differentiation of functions in several variables; Jacobians; maxima and minima; implicit functions. Scalar and vector fields; orthogonal curvilinear coordinates. Multiple integrals; arc length, volume and surface area. Line and surface integrals; irrotational and solenoidal fields; Green's theorem; the divergence theorem. Stokes' theorem; and applications.
Terms: Fall 2023
Instructors: Kamran, Niky (Fall)
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MATH 249 Honours Complex Variables (3 credits)
Overview
Mathematics & Statistics (Sci) : Functions of a complex variable; Cauchy-Riemann equations; Cauchy's theorem and consequences. Taylor and Laurent expansions. Residue calculus; evaluation of real integrals; integral representation of special functions; the complex inversion integral. Conformal mapping; Schwarz-Christoffel transformation; Poisson's integral formulas; applications.
Terms: Winter 2024
Instructors: Pym, Brent (Winter)
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MATH 325 Honours Ordinary Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First and second order equations, linear equations, series solutions, Frobenius method, introduction to numerical methods and to linear systems, Laplace transforms, applications.
Terms: Winter 2024
Instructors: Humphries, Tony (Winter)
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MATH 475 Honours Partial Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order partial differential equations, geometric theory, classification of second order linear equations, Sturm-Liouville problems, orthogonal functions and Fourier series, eigenfunction expansions, separation of variables for heat, wave and Laplace equations, Green's function methods, uniqueness theorems.
Terms: Fall 2023
Instructors: Martine, Gabriel (Fall)
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PHYS 241 Signal Processing (3 credits)
Overview
Physics : Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
Terms: Winter 2024
Instructors: Reisner, Walter (Winter)
Winter
2 hours lectures; 3 hours laboratory alternate weeks
Prerequisite: CEGEP physics or PHYS 142.
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PHYS 251 Honours Classical Mechanics 1 (3 credits)
Overview
Physics : Newton's laws, work energy, angular momentum. Harmonic oscillator, forced oscillations. Inertial forces, rotating frames. Central forces, centre of mass, planetary orbits, Kepler's laws.
Terms: Fall 2023
Instructors: Gale, Charles (Fall)
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PHYS 253 Thermal Physics (3 credits)
Overview
Physics : Energy, work, heat; first law. Temperature, entropy; second law. Absolute zero; third law. Equilibrium, equations of state, gases, liquids, solids, magnets; phase transitions.
Terms: Fall 2023
Instructors: Grutter, Peter H (Fall)
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PHYS 257 Experimental Methods 1 (3 credits)
Overview
Physics : Introductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
Terms: Fall 2023
Instructors: Vachon, Brigitte (Fall)
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PHYS 258 Experimental Methods 2 (3 credits)
Overview
Physics : Advanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
Terms: Winter 2024
Instructors: Cooke, David (Winter)
Winter
6 hours of laboratory and classroom work
Prerequisite: PHYS 257
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PHYS 260 Modern Physics and Relativity (3 credits)
Overview
Physics : History of special relativity; Lorentz transformations: kinematics and dynamics; transformation of electric and magnetic forces; introduction to topics in modern physics.
Terms: Fall 2023
Instructors: Haggard, Daryl (Fall)
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PHYS 350 Honours Electricity and Magnetism (3 credits)
Overview
Physics : Fundamental laws of electric and magnetic fields in both integral and differential form.
Terms: Fall 2023
Instructors: Lee, Eve J (Fall)
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PHYS 351 Honours Classical Mechanics 2 (3 credits)
Overview
Physics : Rigid bodies, angular momentum, gyroscope, moment of inertia, principal axes, Euler's equations. Coupled oscillations and normal modes. Lagrangian mechanics and applications. Hamiltonian mechanics. Topics in advanced analytical mechanics.
Terms: Winter 2024
Instructors: Schutz, Katelin (Winter)
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PHYS 352 Honours Electromagnetic Waves (3 credits)
Overview
Physics : Vector and scalar potentials; plane waves in homogeneous media; refraction and reflection; guided waves; radiation from simple systems; dipole and quadrupole radiation; introduction to fields of moving charges; synchrotron radiation; Bremsstrahlung.
Terms: Fall 2023
Instructors: Siwick, Bradley (Fall)
Fall
3 hours lectures
Prerequisite: PHYS 350.
Restriction: Honours students, or permission of the instructor
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PHYS 357 Honours Quantum Physics 1 (3 credits)
Overview
Physics : Experimental basis for quantum mechanics; wave-packets; uncertainty principle. Hilbert space formalism. Schrodinger equation: eigenvalues and eigenvectors: applications to 1-d problems including the infinite and finite potential wells and the harmonic oscillator. Tunneling. Time independent perturbation theory.
Terms: Fall 2023
Instructors: Agarwal, Kartiek (Fall)
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PHYS 362 Statistical Mechanics (3 credits)
Overview
Physics : Quantum states and ensemble averages. Fermi-Dirac, Bose-Einstein and Boltzmann distribution functions and their applications.
Terms: Winter 2024
Instructors: Liu, Adrian (Winter)
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PHYS 457 Honours Quantum Physics 2 (3 credits)
Overview
Physics : Angular momentum and spin operators. Operator methods in quantum mechanics. Coupling of spin and angular momenta. Variational principles and elements of time dependent perturbation theory (the Golden Rule). Solution of the Schrodinger equation in three dimensions. Applications to the hydrogen and helium atoms and to simple problems in atomic and molecular physics.
Terms: Winter 2024
Instructors: Cumming, Andrew (Winter)
Complementary Courses (27-30 credits)
0-3 credits from:
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MATH 222 Calculus 3 (3 credits) *
Overview
Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Sabok, Marcin; Allen, Patrick (Fall) Trudeau, Sidney (Winter) Bibby, Sean (Summer)
* Students who did not complete an equivalent of MATH 222 on entering the program must take this course in the first semester.
3 credits from:
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PHYS 359 Advanced Physics
Laboratory 1 (3 credits)
Overview
Physics : Advanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
Terms: Winter 2024
Instructors: Ryan, Dominic (Winter)
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PHYS 469 Advanced Physics Laboratory 2 (3 credits)
Overview
Physics : Advanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
Terms: Fall 2023
Instructors: Sankey (Childress), Jack (Fall)
Fall
6 hours
Restriction: Honours students or permission of instructor
Prerequisite: PHYS 258 or permission of the instructor
Corequisite: PHYS 457 or PHYS 447 or permission of the instructor.
Restriction: Open to honours and majors physics students
Student who have taken PHYS 359 will conduct different experiments in this course.
6 credits selected from:
Note: If chosen, PHYS 459D1 and PHYS 459D2 are taken together.
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PHYS 359 Advanced Physics
Laboratory 1 (3 credits)
Overview
Physics : Advanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
Terms: Winter 2024
Instructors: Ryan, Dominic (Winter)
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PHYS 459D1 Honours Research Thesis (3 credits)
Overview
Physics : Honours supervised research project and thesis.
Terms: Fall 2023
Instructors: Gale, Charles (Fall)
Fall
6 hours
Restriction: Honours students or permission of instructor
Students must register for both PHYS 459D1 and PHYS 459D2.
No credit will be given for this course unless both PHYS 459D1 and PHYS 459D2 are successfully completed in consecutive terms
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PHYS 459D2 Honours Research Thesis (3 credits)
Overview
Physics : See PHYS 459D1 for course description.
Terms: Winter 2024
Instructors: Gale, Charles (Winter)
Winter
Prerequisite: PHYS 459D1
No credit will be given for this course unless both PHYS 459D1 and PHYS 459D2 are successfully completed in consecutive terms
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PHYS 469 Advanced Physics Laboratory 2 (3 credits)
Overview
Physics : Advanced level experiments in physics including quantum effects and some properties of condensed matter physics and modern physics.
Terms: Fall 2023
Instructors: Sankey (Childress), Jack (Fall)
Fall
6 hours
Restriction: Honours students or permission of instructor
Prerequisite: PHYS 258 or permission of the instructor
Corequisite: PHYS 457 or PHYS 447 or permission of the instructor.
Restriction: Open to honours and majors physics students
Student who have taken PHYS 359 will conduct different experiments in this course.
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PHYS 479 Physics Research Project (3 credits)
Overview
Physics : A supervised research project.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Hanna, David (Fall) Hilke, Michael (Winter) Wang, Kai (Summer)
6 hours
Restriction: U2 or U3 students in a Physics program, or permission of the instructor.
Note: Students cannot take both PHYS 359 and PHYS 469 to meet this requirement as one of them was taken to meet the previous requirement above.
18 credits selected from the list below (students may substitute one or more courses with any 3-credit course approved by the Department of Physics):
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PHYS 404 Climate Physics (3 credits)
Overview
Physics : This course covers the essentials of climate physics through the lens of one-dimensional, vertical atmospheric models. This includes shortwave and longwave radiative transfer, convection, phase changes, clouds, greenhouse gases, and atmospheric escape. This is an adequate level of detail for understanding Earth's climate, paleoclimate, anthropogenic climate change, or pursing studies of Solar System planets and extrasolar planets.
Terms: Fall 2023
Instructors: Huang, Yi (Fall)
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PHYS 432 Physics of Fluids (3 credits)
Overview
Physics : The physical properties of fluids. The kinematics and dynamics of flow. The effects of viscosity and turbulence. Applications of fluid mechanics in biophysics, geophysics and engineering.
Terms: Winter 2024
Instructors: Lee, Eve J (Winter)
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PHYS 434 Optics (3 credits)
Overview
Physics : Fundamental concepts of optics, including applications and modern developments. Light propagation in media; geometric optics and optical instruments; polarization and coherence properties of light; interference and interferometry; diffraction theory and applications in spectrometry and imaging; Gaussian beams, Fourier optics and photonic band structure. A laboratory component provides hands-on experience in optical setup design, construction and testing of concepts introduced in lectures.
Terms: Fall 2023
Instructors: Wang, Kai (Fall)
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PHYS 479 Physics Research Project (3 credits)
Overview
Physics : A supervised research project.
Terms: Fall 2023, Winter 2024, Summer 2024
Instructors: Hanna, David (Fall) Hilke, Michael (Winter) Wang, Kai (Summer)
6 hours
Restriction: U2 or U3 students in a Physics program, or permission of the instructor.
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PHYS 512 Computational Physics with Applications (3 credits)
Overview
Physics : Computational methods in Physics illustrated with realworld applications.
Terms: Fall 2023
Instructors: Cumming, Andrew (Fall)
U3 or graduate students in Physics, Chemistry, or Engineering, or permission of the instructor. Basic familiarity with computer programming highly recommended.
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PHYS 514 General Relativity (3 credits)
Overview
Physics : Transition from special to general relativity. Non-Euclidian geometry. The basic laws of Physics in co-variant form, Einstein's equations. Gravitational waves; neutron stars; black holes; cosmology.
Terms: Winter 2024
Instructors: Maloney, Alexander (Winter)
Winter
3 hours lectures
Restriction: U3 Honours students and graduate students, or permission of the instructor.
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PHYS 519 Advanced Biophysics (3 credits)
Overview
Physics : An advanced biophysics course, with a special emphasis on stochastic and out of equilibrium physical processes in living matter.
Terms: Winter 2024
Instructors: Wiseman, Paul (Winter)
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PHYS 521 Astrophysics (3 credits)
Overview
Physics : An advanced course in modern astrophysics, covering topics such as the basic tools of astronomy (statistics, mathematical methods, computational tools, and instrumentation); stellar astrophysics (properties, structure, atmospheres, binaries/exoplanets); the interstellar medium, star formation, stellar evolution and endpoints (white dwarfs, neutron stars, black holes); and the Milky Way, galaxies, and cosmology.
Terms: Fall 2023
Instructors: Rutledge, Robert (Fall)
Fall
3 hours
Restriction: U3 students and graduate students, or permission of the instructor
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PHYS 534 Nanoscience and Nanotechnology (3 credits)
Overview
Physics : Topics include scanning probe microscopy, chemical self-assembly, computer modelling, and microfabrication/micromachining.
Terms: Fall 2023
Instructors: Grutter, Peter H (Fall)
Fall
Restriction: U3 or graduate students in Physics, Chemistry, or Engineering, or permission of the instructor.
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PHYS 551 Quantum Theory (3 credits)
Overview
Physics : General formulation, scattering theory, WKBJ approximation, time-dependent perturbation, theory and applications, angular momentum, relativistic wave equations.
Terms: Fall 2023
Instructors: Jeon, Sang Yong (Fall)
Fall
3 hours lectures
Restriction: U3 Honours students and graduate students, or permission of the instructor
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PHYS 557 Nuclear Physics (3 credits)
Overview
Physics : General nuclear properties, nucleon-nucleon interaction and scattering theory, radioactivity, nuclear models, nuclear reactions.
Terms: Fall 2023
Instructors: Brunner, Thomas (Fall)
Fall
3 hours lectures
Restriction: U3 Honours students, graduate students, or permission of the instructor
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PHYS 558 Solid State Physics (3 credits)
Overview
Physics : Properties of crystals; free electron model, band structure; metals, insulators and semi-conductors; phonons; magnetism; selected additional topics in solid-state (e.g. ferroelectrics, elementary transport theory).
Terms: Fall 2023
Instructors: Coish, Bill (Fall)
Fall
3 hours lectures
Restriction: U3 Honours students, graduate students, or permission of the instructor
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PHYS 559 Advanced Statistical Mechanics (3 credits)
Overview
Physics : Scattering and structure factors. Review of thermodynamics and statistical mechanics; correlation functions (static); mean field theory; critical phenomena; broken symmetry; fluctuations, roughening.
Terms: Fall 2023
Instructors: Coish, Bill (Fall)
Fall
3 hours lectures
Restriction: U3 Honours students, graduate students, or permission of the instructor
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PHYS 562 Electromagnetic Theory (3 credits)
Overview
Physics : Electrostatics, dielectrics, magnetostatics, timevarying fields, relativity, radiating systems, fields of moving charges.
Terms: Winter 2024
Instructors: Cooke, David (Winter)
Winter
3 hours lectures
Prerequisites (Graduate): U1 or U2 Honours Physics or permission of instructor.
Restriction: U3 Honours students, graduate students, or permission of the instructor
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PHYS 567 Particle Physics (3 credits)
Overview
Physics : Survey of elementary particles; hadrons, leptons and hadrons' constituents (quarks). Invariance principles and conservation laws. Detectors and accelerators. Phenomenology of strong, electromagnetic and weak interactions.
Terms: Winter 2024
Instructors: Dobbs, Matthew Adam (Winter)
Winter
3 hours lectures
Restriction: U3 Honours students, graduate students, or permission of the instructor