PHYS 14 Optics
Geometrical optics, interference, diffraction and polarization. 3 lectures, 3 hours laboratory, one term.
49 courses in the 1964–65 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Geometrical optics, interference, diffraction and polarization. 3 lectures, 3 hours laboratory, one term.
The fundamental particles of matter, assemblies of particles, nuclei and atoms, the wave-particle experiments, introductory quantum mechanics and atomic structure.
3 lectures, one term.
of Solids. Electronic structure of atoms and atomic bonding; crystal structure and space lattices; symmetry; crystal geometry; stereographic projections; theory of X-ray diffraction; X-ray methods; crystal formation; crystal defects; physical properties of crystals.
3 lectures, 3 hours laboratory, alternate weeks, one term.
The atom and its nucleus, radioactive decay, nuclear masses and nuclear stability, nuclear spin and moments, structure of nuclei, gamma radiation processes, alpha decay, beta decay, nuclear reactions, fission, interaction of radiation with matter, counters, particle accelerators and reactors. 3 lectures, one term.
44, Classical Mechanics. Moving frames of reference and the special theory of relativity. Relativistic particle dynamics. Rotating coordinate systems. Dynamics of a freely rotating rigid body. Generalized co-ordinates. Lagrange’s equations. Variational principles in mechanics. Hamiltonian formulation of mechanics. Transformation theory.
3 lectures, one term.
Review of essential classical and quantum mechanics; ensembles, microcanonical, canonical and grand canonical; quantum statistical mechanics, theory of the density matrix; applications.
3 lectures, one term.
Origins of quantum theory. Waves and particles. Wave functions and wave packets. Schroedinger’s equation. Onedimensional motion in regions of varying potential. Fourier analysis, eigenvalues and expectation values. Axiomatic foundations of quantum mechanics. Operators. Angular momentum. Central force systems, hydrogen atom.
3 lectures, one term.
Vectors, rectilinear motion, plane motion, dynamics of particles, work and energy, linear momentum, rotational motion, statics, angular momentum, harmonic motion, gravitation, wave motion, sound waves, temperature, heat, first and second laws of thermodynamics, kinetic theory of gases. 3 lectures, 3 hours laboratory.
Electrostatics, magnetic fields, electromagnetic induction, alternating current theory, the development of Maxwell’s equations. 3 lectures, 3 hours laboratory (experiments and problems). Chemistry and Physics students take laboratory on alternate weeks.
235, Optics. An elementary course in geometrical and physical optics. Refraction and reflection at plane and curved surfaces; thin and thick Jenses; optical instruments. The wave nature of light: interference; diffraction; slits and gratings; resolution. Polarization; optical activity; photometry.
2 lectures, 3 hours laboratory.
Note: Students enrolled in the Chemistry and the Chemistry and Physics courses take laboratory work in alternate weeks.
237, Astronomy I. A survey course in astronomy. Aspects of the sky; motions of the earth; the earth and the moon; the solar system; gravitational astronomy; the sun; the stars; stellar motions; comets; meteors; meteorites; interstellar matter; the structure of the galaxy; exterior systems; cosmogony; radio astronomy. 3 lectures.
242, Electricity and Magnetism. Electrostatics, D.C. circuits, magnetic fields, electromagnetic induction, A.C. circuits, electrical measurements, introductory electronics.
3 lectures, 3 hours laboratory and 2 hours problems on alternate weeks.
Foundations of Newtonian mechanics. Dynamics of a particle; harmonic oscillator; central force motion; conservative force; potential energy. Dynamics of a system of particles; conservation laws; translation and fixed-axis rotation of a rigid body. Moving frames of reference. Lagrange’s equations.
3 lectures.
A survey of electronic circuits. Basic A.C. circuit theory; rectifiers and filter circuits; triode, pentode and transistor amplifiers; equivalent circuits; feedback and oscillators; regulation; electronic measuring devices; pulse circuits.
2 lectures, 3 hours laboratory alternate weeks for students not taking Physics 333.
Selected experiments in mechanics, heat, sound, optics, spectroscopy, X-rays, atomic physics, electricity, magnetism, and electronics.
6 hours laboratory.
Special theory of relativity, growth of atomic concepts, quantum theory of thermal radiation, particle aspects of electromagnetic radiation. Rutherford atom, Bohr atom, wave aspects of particles, wave mechanics, solutions of Schroedinger’s equation, one-electron atoms.
3 lectures.
Fundamental principles of thermodynamics, kinetic theory, and statistical mech- _anics. Thermodynamic systems, equations of state, work, first and second Jaws of thermodynamics, change of phase, entropy, kinetic theory of an ideal gas, distribution of molecular velocities, transport phenomena, Maxwell-Boltzmann statistics, quantum statistics, fluctuations.
3 lectures.
Department of Physics
Vector analysis; vector differential operators and associated integral theorems. Introduction to tensors. Curvilinear co-ordinate systems. Partial differential equations of mathematical physics: Laplace’s, wave and diffusion equations; separation of variables. Series solutions of ordinary differential equations; Legendre and Bessel functions. Fourier analysis; eigenfunctions.
2 lectures.
Selected topics in astrophysics, cosmogony, and radioastronomy. 2 lectures.
An introductory course on the physics of the Earth. Origin, heat and temperature of the Earth, study of earthquakes and the Earth’s interior through earthquake waves; gravity and isostasy; terrestrial magnetism; effects of heat, temperature and strain on rocks; origins of continents, mountain ranges; the ocean floors; meteorology; geographical techniques.
2 lectures.
Fundamentals of modern physics: special theory of relativity, quantization of electromagnetic radiation, wave properties of particles, the hydrogen atom, atomic and X-ray spectra, nuclear structure, nuclear reactions, molecular and solid state physics.
3 lectures.
Application of the analytical methods of the physical sciences to biology. Emphasis will be placed on describing the nature, function and control of the physical systems which are found in living organisms.
3 lectures.
Review of Lagrangian formulation of mechanics. Rotation of a rigid body; the inertia tensor. Hamilton’s principle; Hamilton’s equations. Classical theory of small vibrations. Kinematics and particle dynamics in the special theory of relativity. Dynamics of deformable matter; elasticity; hydrodynamics.
2 lectures.
Review of vacuum tube electronics, statistics of electrons in semiconductors, transport properties, minority carrier injection, theory of pn junctions, transistors, tunnel diodes, field effect devices; applications.
2 lectures.
Selected experiments in atomic and nuclear physics, solid state physics, and thermodynamics; electrical and electronic measurements; vacuum techniques. In addition, a short research problem will be assigned.
3, 6 or 9 hours laboratory.
Multi-electron atoms: identical particles and the Pauli principle, the helium atom, Hartree theory of multi-electron atoms, the periodic table, the vector model. Nuclear physics: particle acceleration and detection, nuclear structure, the decay of unstable nuclei, nuclear reactions, elementary particles.
2 lectures.
Atomic bonding; crystal structure and space lattices; symmetry; crystal geometry; defects; physical properties of crystals; free electron theory of metals; band theory; properties of semiconductors and insulators. 2 lectures, 3 hours laboratory, alternate weeks, for students not taking Physics 433.
Theory of functions of a complex variable; conformal mapping and applications. Boundary value problems on linear partial differential equations; separation of variables; Green’s functions. Linear integral equations. Integral transforms (Laplace, Fourier).
3 lectures.
Selected subjects for advanced study. 2 lectures.
2 lectures.
The nature of science; science and technology in Egypt and Babylon. The development of science in Greece; the Orphic mysteries and the Ionian philosophers. Plato and Aristotle; Archi-
Department of Physics
medes. The Alexandrian school and the separation of science and philosophy. Technology under the Roman Empire. The mediaeval attitude toward science. The Renaissance. Copernicus and Galileo. Sir Isaac Newton. The physical and biological sciences during the 18th century. Developments during the 19th century in Physics, Chemistry, Technology, Geology. Evolution, and the rise of modern Genetics. The 20th century revolution in pure science and technology.
2 lectures.
A generalized treatment of the basic laws of electricity and magnetism; mathematical techniques for the problems of electrostatics; solutions of Maxwell’s equation in free space and the study of plane waves; theory of waveguides and introduction to radiation.
2 lectures.
The course will provide explanations of the physical properties and behaviour of metals and alloys from the viewpoint of atomic physics. Topics included are: solidification of pure metals, perfect and imperfect crystals, alloys, phase diagrams, diffusion, solid state phase transformations, the iron-carbon system, physical properties of metal crystals, elastic and plastic deformation, twinning, radiation damage, recovery and recrystallization, creep, fatigue, fracture, internal friction, free electron and zone theories of metals, electrical, thermal and magnetic properties.
2 lectures..
A review of the laws of electricity and magnetism which form the basis for Maxwell’s equations. Solutions of Maxwell's equations in free space and subject to various boundary conditions, transmission line theory, radiation and antenna theory, ionosphere propagation.
2 lectures.
Vectors and Cartesian tensors. Vector operator calculus. Analysis of stress. Equations of motion. Analysis of deformation and flow. Equation of continuity. Rheological models. Linear theory of elasticity. Bending and torsion of beams. Hydrodynamics of Newtonian viscous fluids.
2 lectures.
An outline of the modern theory of solids. Atomic bonding and classification of solids, lattice defects in crystals, elastic and plastic deformation of crystals, polycrystalline solids, mechanical and thermal properties of solids, electron and zone theories of solids, electrical, electronic magnetic and optical properties of solids. Alloys, equilibrium diagrams; phase changes and diffusion in metals.
2 lectures, 3 hours laboratory.
Each student will prepare and present at least one paper on a technical subject related to his studies. Specific problems may be assigned for investigation and report.
4 hours.
Origins of quantum theory. Waves and particles. Wave functions and wave packets. Schroedinger's equation. One-dimensional motion in regions of varying potential. Fourier analysis, eigenvalues and expectation values. Axiomatic foundations of quantum mechanics. Operators. Angular momentum. Central force systems, hydrogen atom.
2 lectures.
Principles of the quantum theory. Schroedinger’s equation. The linear oscillator. Angular momentum. The Hydrogen atom. Matrix mechanics. Identical particles and spin, atoms and molecules. Perturbation theory. The semi-classical treatment of radiation. Scattering theory. The Dirac equation.
A brief treatment of electrostatics, steady currents, magnetics and the laws of electrodynamics for stationary media; Maxwell’s equations for moving media; the momentum density and the radiation pressure of the electromagnetic field; magnetohydrodynamics; solution of the homogeneous wave equation and plane-wave scattering; solution of the inhomogeneous wave equation and multi-pole radiation; special relativity and the covariant formulation of electrodynamics; Lienard-Weichert potentials and radiation from an accelerated charge.
Crystal symmetry and bulk properties; binding energy; defects and their effect on diffusion, deformation, and optical properties; one-electron theory of solids; phonons and specific heat; transport processes and the electron-phonon interaction.
Review of elementary mechanics, Lagrangian formulation, variational principles, Hamiltonian formulations; rigid body kinematics and dynamics, special relativity, transformation theory, Hamilton- Jacobi theory.
One or other of these courses may be offered each year. (a) The spectra emitted by atoms are treated on the basis of the vector model of the atom, as constructed from classical quantum theory and wave mechanics. Topics include: the Bohr-Sommerfeld model and wave mechanics of the hydrogen atom, the Schroedinger model of the alkali-like atoms with penetrating orbits, fine structure, hyperfine structure, the many electron model and exchange energy, Zeeman effect, selection rules and intensities of emitted radiation. (b) Emission and absorption of radiation by molecules. Topics include: rotational, vibrational and electronic spectra of diatomic molecules, the interaction of vibration and rotation and the finer details of infra-red and Raman spectra, electronic bands, dissociation, polyatomic molecules, intensities and selection rules of transitions.
Nuclear size and mass. Semi-empirical mass formula, binding energy and stability. Nuclear forces and scattering between nucleons. Models of the nucleus: shell model, liquid drop model and collective model. Nuclear reactions and conservation laws. Alpha and beta decay.
Department of Physics
Review of essential classical and quantum mechanics; 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.
One or more of the following courses may be offered, but not all will be available in any given year. Course 601 is a prerequisite.
(a) The Principles of Quantum Mechanics. The nature of quantum physics is demonstrated more directly by Dirac’s symbolic method than by the usual historical method of presentation based on Schroedinger and Heisenberg mechanics. This course is an examination of the fundamental theoretical principles of the quantum theory, from the symbolic viewpoint.
(b) Group Theory and Quantum Mechanics. Introduction to group theory: groups, representations of groups, character tables. Group theory and quantum mechanics, the permutation and rotation groups. Applications of the theory to atomic spectra, the theory of angular momentum, molecular symmetry and solid state physics.
(c) Advanced Quantum Mechanics. Dirac theory; the single particle description of relativistic quantum mechanics; bound state and scattering problems—the need for a many-particle (field) approach. Classical relativistic field theory, Feynman-Schwinger quantization of this theory. The radiation field, the electron field, interaction of these fields. The S-matrix; Compton scattering, Coulomb scattering. The magnetic moment of the electron, the Lamb shift. Renormalization.
General theory of the diffraction of waves by crystals, experimental technique of electron diffraction, kinematic theory and interpretation of electron diffraction patterns, refraction of electron waves, atomic scattering, dynamical theory, electron interference effects in electron microscope images.
Electrons in electrastatic fields, the electrostatic lens, the magnetic lens, aberrations, the electron microscope, electron specimen interactions, Fresnel diffraction and image contour phenomena, electron diffraction and dark-field microscopy, experimental methods in electron microscopy.
Production and measurement of very low temperatures. Low temperature materials and techniques. Thermal, magnetic and electrical properties of matter at very low temperatures. Superconductivity. Liquid helium.
One or two of the following topics may be offered each year.
(a) Imperfections in Crystals. Perfect and imperfect crystals, general properties of point defects and dislocations, interactions of imperfections, solid state
phase transformation, plastic deformation and work-hardening of metals, grain boundaries, influence of lattice imperfections on physical properties, internal friction in metals, diffusion, physical observation of lattice defects, generation and annealing of point defects, radiation damage.
(b) Ionic Crystals and Luminescence. The crystalline state—diffraction of X- rays, neutrons, electrons. Classification of solids. Lattice energy of ionic crystals—conductivity and diffusion. Band structure and electron distribution. Electronic and optical properties of alkali halides.
(c) Inert Gas Solids. Theory of crystal lattices: quantum mechanical basis, inter-atomic potentials, stability, dynamics of cubic close-packed lattices, thermodynamics of ideal crystals, anharmonicity. Experimental properties.
(d) Advanced Quantum Theory of Solids. Theoretical and experimental techniques for determination of the band structure of metals and semiconductors; electrical and thermal conduction processes and electron-lattice interactions.
Selected topics in theoretical geophysics; seismology, rheology of the Earth, geomagnetism, the Earth’s rotation.
Tensor analysis: covariant and contravariant tensors, covariant differentiation, Riemannian space, geodesics, Ricci tensor, Christoffel symbols. General relativity: gravitation and special relativity, equivalence principle, field equations of general relativity, Schwarzschild metric, observational evidence for the general theory. Cosmology: Newtonian, Einstein and de Sitter universes, the expanding universe, cosmological principle and steady-state universe, observational clues.
The behaviour of some physical systems encountered in living organisms. Simple cell models: the cell membrane, diffusion problems, respiration, motion, instability and cell division, radiation damage. Specialized cells and organs: the nerve impulse and its propagation, muscle contraction, the red blood corpuscle, haemodynamics, selective filtration of ions, sensory transducers, temperature regulation, the central nervous system.
Department of Political Science
W. G. Scott, B.A. (Western), M.A. (Toronto) Assistant Professor and Acting Chairman of Department
N. E. Lavigne, C.R., B.A. (Western), B.Comm. (Ottawa), M.B.A. (Detroit) Assistant Professor J
A. D. Nelson, A.B., A.M., Ph.D. (Chicago) - - - Assistant Professor T. H. Qualter, B.A. (New Zealand), Ph.D. (London) - Assistant Professor L. G. E. Edmondson, B.A. (Birmingham) - - - - - - Lecturer