Credit course for supervised participation in faculty research project. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-opportunities-program. Not eligible for CR/NCR option.
Credit course for supervised participation in faculty research project. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-opportunities-program. Not eligible for CR/NCR option.
A modular practical course that further develops the core experimental and computational skills necessary to do physics. Modules include: experimental skills building, computational tools in data and uncertainty analysis, and independent experimental projects.
A course for students interested in a deeper understanding of physical phenomena occurring in biological systems. Thermodynamics, diffusion, entropic forces, fluids, biological applications.
This course builds upon the knowledge and tools developed in PHY250H1. Topics include: solving Poisson and Laplace equations via method of images and separation of variables, multipole expansion for electrostatics, atomic dipoles and polarizability, polarization in dielectrics, multipole expansion in magnetostatics, magnetic dipoles, magnetization in matter, Maxwell’s equations in matter, conservation laws in electrodynamics, and electromagnetic waves.
Symmetry and conservation laws, stability and instability, generalized coordinates, Hamilton's principle, Hamilton's equations, phase space, Liouville's theorem, canonical transformations, Poisson brackets, Noether's theorem.
The general structure of wave mechanics; eigenfunctions and eigenvalues; operators; orbital angular momentum; spherical harmonics; central potential; separation of variables; hydrogen atom; Dirac notation; operator methods; harmonic oscillator and spin.
The subatomic particles; nuclei, baryons and mesons, quarks, leptons and bosons; the structure of nuclei and hadronic matter; symmetries and conservation laws; fundamental forces and interactions, electromagnetic, weak, and strong; a selection of other topics: CP violation, nuclear models, standard model, proton decay, supergravity, nuclear and particle astrophysics. This course is not a prerequisite for any PHY400-level course.
This course covers the most important iconic quantum systems, from the hydrogen atom through to solid state systems, focusing on how quantum mechanics is applied and determines physical properties of atoms, molecules, and crystals. It begins with the hydrogen atom, including orbital and spin angular momentum, spin-orbit coupling, and effects of the magnetic field, and then extends to systems of two identical particles: bosons vs. fermions and the helium atom with two electrons. Other topics include spin singlets and triplets, entanglement, perturbation theory, the effects of electron-electron interactions and diatomic molecules. For crystals, the course covers Fermi gases, Fermi surfaces, crystal structure, the reciprocal lattice, the nearly-free electron model, energy bands, and topology using low-dimensional models.
Introduction to quantum computing; Quantum states of multi-particle systems and Entanglement; Quantum Algorithms; Quantum Information Processing Technologies; Quantum error correction.
An individual study program chosen by the student with the advice of, and under the direction of, a staff member. A student may take advantage of this course either to specialize further in a field of interest or to explore interdisciplinary fields not available in the regular syllabus. Consult the department web pages for some possible topics. This course may also be available in the summer. Not eligible for CR/NCR option.
An individual study program chosen by the student with the advice of, and under the direction of, a staff member. A student may take advantage of this course either to specialize further in a field of interest or to explore interdisciplinary fields not available in the regular syllabus. Consult the department web site for some possible topics. This course may also be available in the summer. Not eligible for CR/NCR option.
An individual experimental or theoretical research project undertaken with the advice of, and under the direction of, a staff member. A student may take advantage of this course either to specialize further in a field of interest or to explore independent research. Consult the department web site for some possible topics. This course may also be available in the summer. Not eligible for CR/NCR option.
An individual experimental or theoretical research project undertaken with the advice of, and under the direction of, a staff member. A student may take advantage of this course either to specialize further in a field of interest or to explore independent research. Consult the department web site for some possible topics. This course may also be available in the summer. Not eligible for CR/NCR option.
An introduction to the physics of light. Topics covered include: electromagnetic waves and propagation of light; the Huygens and Fermat principles; geometrical optics and optical instruments; interference of waves and diffraction; polarization; introduction to photons, lasers, and optical fibers.
This course provides an introduction to climate physics and the earth-atmosphere-ocean system. Topics include solar and terrestrial radiation; global energy balance; radiation laws; radiative transfer; atmospheric structure; convection; the meridional structure of the atmosphere; the general circulation of the atmosphere; the ocean and its circulation; and climate variability.
Course credit for research or field studies abroad under the supervision of a faculty member. Not eligible for CR/NCR option.
Course credit for research or field studies abroad under the supervision of a faculty or staff member from an exchange institution. Consult the Physics Department web pages for information about opportunities. Not eligible for CR/NCR option.
An instructor-supervised group project in an off-campus setting. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-excursions-program. Not eligible for CR/NCR option.
An instructor-supervised group project in an off-campus setting. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-excursions-program. Not eligible for CR/NCR option.
Credit course for supervised participation in faculty research project. Details at https://www.artsci.utoronto.ca/current/academics/research-opportunities/research-opportunities-program. Not eligible for CR/NCR option.
Electrical circuits, networks and devices are all-pervasive in the modern world. This laboratory course is an introduction to the world of electronics. Students will learn the joys and perils of electronics, by designing, constructing and debugging circuits and devices. The course will cover topics ranging from filters and operational amplifiers to micro-controllers, and will introduce students to concepts such as impedance, transfer functions, feedback and noise.
This is an introduction to scientific computing in physics. Students will be introduced to computational techniques used in a range of physics research areas. By considering select physics topics, students will learn basic computational methods for function analysis (computing integrals and derivatives; finding roots and extrema), resolution of linear and non-linear equations, eigenvalue problems, Fourier analysis, ODEs, PDEs and Monte Carlo techniques. As the course progresses, students will develop their skills at debugging, solution visualization, computational efficiency and accuracy. The course is based on python and will involve working on a set of computational labs throughout the semester as well as a final project.
The analysis of digital sequences; filters; the Fourier Transform; windows; truncation effects; aliasing; auto and cross-correlation; stochastic processes, power spectra; least squares filtering; application to real data series and experimental design.
Experiments in this course are designed to form a bridge to current experimental research. A wide range of exciting experiments relevant to modern research in physics is available. The laboratory is normally open from 9 a.m. - 4 p.m., Monday to Friday.
An introduction to the physical phenomena involved in the biological processes of living cells and complex systems. Models based on physical principles applied to cellular processes will be developed. Biological computational modeling will be introduced.
An introduction to relativistic electrodynamics. Topics include: special relativity, four-vectors and tensors, relativistic dynamics from the Principle of Stationary Action and Maxwell's equations in Lorentz covariant form. Noether's theorem for fields and the energy-momentum tensor. Fields of moving charges and electromagnetic radiation: retarded potential, Lienard-Wiechert potentials, multipole expansion, radiation reaction.
Classical and quantum statistical mechanics of noninteracting systems; the statistical basis of thermodynamics; ensembles, partition function; thermodynamic equilibrium; stability and fluctuations; formulation of quantum statistics; theory of simple gases; ideal Bose and Fermi systems.