58 courses in the 1963–64 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
J. A. Cowan, B.Sc. (Manitoba), M.A., Ph.D. (Toronto) Professor and Chairman of the Department
G. E, Reesor, M.A. (McMaster), Ph.D. (Torontov) = - - - - Professor R, A. Aziz, M.A., Ph.D, (Toronto) - © - + - Associate Professor F. W. Boswell, M.A., Ph.D. (Toronto) - - + «= Associate Professor
I. R. Dagg, B.Sc. (Manitoba), M.S. (Pennsylvania State), Ph.D. (Toronto) Associate Professor
R. A. Snyder, Ph.D. (Western) - - - - + = Associate Professor D. E. Brodie, M.Sc., Ph.D. (McMaster) - = = - Assistant Professor H. K. Ellenton, B.Sc. (Western), M.A, (Toronto) - - Assistant Professor N. R. Isenor, B.Sc. (Acadia), M.Sc., Ph.D. (McMaster) - Assistant Professor C. C. Lim, B.A, (DePauw), M.A. (Nebraska), Ph.D. (Toronto) - Assistant Professor J. L. Ord, B.A.Sc., (Toronto), M.S., Ph.D. (Illinois) - «+ Assistane Professor M. G. Rochester, M.A, (Toronto), Ph.D. (Utah) - - - Assistant Professor K. A. Woolner, B.Sc, (London) - = = - + + Assistane Professor
J. M. Corbett, B.A.Sc. (Toronto), M.Sc. (Waterloo) - «+ + «+ Leeturer
One-semester courses are indicated; all others are two semesters in length.
A preliminary course in general physics, including vectors, statics, friction, rectilinear motion. Newton’s laws; projectiles, impulse, momentum, circular motion, heat vibration, sound, electrostatics, capacitors, electrical energy and power. Light waves, rays, mirrors, lenses, optical instruments, photometry, interference, diffraction, and polarization.
3 lectures, 3 hours laboratory.
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, heat and elementary thermodynamics.
3 lectures, 3 hours laboratory.
An introductory course in electricity and magnetism with emphasis on field theory. Direct current circuits, meters, bridges, potentiometer, insulators, conductors and semiconductors; electrostatics, Coulomb’s law, Gauss’ law, the electric field, potential capacitance, dielectrics. 2 lectures, 3 hours laboratory, alternate weeks, half course for Electrical Engineering, 2 lectures, 3 hours laboratory, half course for Applied Physics.
Moving charges and magnetic fields, electromagnetic induction, inductance, the magnetic properties of matter, hysteresis, the magnetic circuit, brief introduction to transient and alternating current; Maxwell’s equations, plane waves.
Prerequisite: Phys 12.
2 lectures, 3 hours laboratory, alternate weeks, half course for Engineering, 2 lectures, 3 hours laboratory, half course for Applied Physics.
Geometrical optics, interference, diffraction and polarization. 3 lectures, 3 hours laboratory, one term.
Elementary particles, quantization of electromagnetic radiation, the wave nature of particles, atomic and nuclear structure. oe
3 lectures, one term.
Selected topics in the theory of relativity, quantization in classical physics, the atomic nature of matter, atomicity of electricity, the quantum theory of thermal radiation, particle aspects of electromagnetic radiation, structure of the hydrogen atom, the wave aspects of material particles, X-ray and electron diffraction, elementary wave mechanics, atomic spectra, X-ray spectra, quantum statistics. 3 lectures, one term.
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.
2 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. 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.
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.
Vector analysis and its use in the study of vectorial mechanics; motion of a particle in one, two, and three dimensions; the conservation laws; dynamics of rigid bodies; moving co-ordinate systems. .
2 lectures.
An introduction to electricity and magnetism including Coulomb’s law, electric fields, potential, Kirchoff’s laws, dielectrics, capacitance, magnetic fields, induction, Faraday’s law, Lenz’s law, inductance, permeability, ferromagnetism, hysteresis, domain theory, vector diagrams, the use of complex numbers, resonance, power, transformers. . : 2 lectures, 3 hours laboratory.
Note: Students enrolled in the Chemistry and Physics course take Jaboratory work in alternate weeks..
An elementary course in geometrical and physical optics. Refraction and reflection at plane and curved surfaces; thin and thick lenses; 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.
aoie aStrOmomy «a. “4 survey course in astronomy. “Aspects or 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.
Moving co-ordinate systems and the special theory of relativity; relativistic dynamics of a particle. Rotating co-ordinate systems; rotation of a rigid body; the inertia tensor. Lagrange’s equations. Dynamics of deformable matter; hydrodynamics; elasticity.
2 lectures v7 ICCLULCS.
Behaviour of electrons in electric and magnetic fields. Thermionic emission and space charge. Properties of semiconductors, vacuum and semiconductor diodes. Triodes and transistors. Load line and equivalent circuit analysis. Amplifiers, feedback and oscillators. Power supplies.
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.
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, magnetic moments, spin.
3 lectures.
Fundamental principles of thermodynamics, kinetic theory, and statistical mechanics. Thermodynamic systems, equations of state, work, first and second laws of thermodynamics, change of phase, entropy, Kinetic theory of an ideal gas, distribution of
molecular velocities. transnort phenomena Maywell-Boltzmann statistics, quantum
molecular velocities, transport phenomen y WAANWOLL-DOitem 2. uantum
statistics, fluctuations. 3 lectures.
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 radio-astronomy ectures.
An introductory course on the physics of the Earth. Origin.
heat and temnerature of the Earth, study of earthauakes and the Farth’s interior neat anc temperature of the arth, study of earthquakes and the Martn’s interior
through earthquake waves; gravity and tsostasy; terrestrial magnetism; effects of heat, temperature and strain on rocks; origins of continents, mountain. ranges; the ocean floors; meteorology; geophysical 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.
ectures.
Crystallography, production and properties of X-rays, X-ray diffraction theory, photographic and spectrometric powder techniques, interpretation of powder diffraction data, applications of polycrystalline diffraction, X-ray fluorescence analysis, electron probe analysis. Atomic and molecular spectra, spectrographic techniques, absorption spectrophotometry, spectrographic analysis, Raman spectroscopy.
2 lectures, 3 hours laboratory, alternate weeks.
Atomic and nuclear structure, time dependence of radioactive decay, nuclear radiation—a study of nuclear decay by alpha, beta, gamma, neutron, proton, and deuteron emission, interaction of these particles with matter and their detection, neutron physics, fission, nuclear reactions and the complex nucleus, nuclear forces, nuclear models, new particles.
2 lectures.
Fundamental ideas of analytical mechanics, generalized co-ordinates, Lagrange’s formulation, applications of Lagrange’s equations, Hamilton’s formulation, co-ordinate transformations, the special theory of relativity. 2 lectures, 2 hours problems, one term.
Variational principles in mechanics; Hamilton’s formulation of mechanics. Classical theory of small vibrations. Physical principles of the quantum theory; Schroedinger’s wave mechanics; angular momentum operators; the hydrogen atom; perturbation theory.
2 lectures.
Precision electrical measurements, special purpose tubes and solid state devices, high frequency electronics, pulse and digital circuits, stabilization techniques.
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.
2 lectures.
Electronic structure of atoms; atomic spectra; spectroscopic methods; atomic bonding; crystal structure and space lattices; symmetry; crystal geometry; X-ray diffraction theory and methods; crystal formation; defects; physical properties of crystals; free electron theory of metals; band theory of metals and semi-conductors. . .
2 lectures, 3 hours laboratory, alternate weeks, for students not taking Physics 433 (Advanced Lab.)
Theory of functions of a complex variable. Boundary value problems in mathematical physics. The Fourier integral; Fourier and Laplace transforms. Review of matrix algebra; linear vector spaces; mathematical foundations of the quantum theory. Introduction to group theory. Statistical treatment of experimental data.
3 lectures.
Selected subjects for advanced study. 2 lectures.
A more advanced discussion of seismology and the internal constitution of the Earth, mechanical properties of the Earth’s interior, figure of the Earth and its gravitational field, temperature and thermal history of the Earth, internal magnetic field of the Earth and its electrical properties at depth, the rotation of the Earth and its geophysical effects.
2 lectures.
The nature of science; science and technology in Egypt and Babylon. The development of science in Greece; the Orphic mysteries and the Jonian philosophers. Plato and Aristotle; Archimedes. 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.
441, Electromagnetic Theory. 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.
Generalized solutions of Maxwell’s equations. Radiation from a moving charge and from given current distributions. Aperture radiation, electromagnetic horns, diffraction. The latter part of the course will treat selected topics.
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 electronphonon 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, jection 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-emperical 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. 4 and 6 decay.
Review of essential classical and quantum mechanics; ensembles, microcanonical, canonical and grand canonical; quantum statistical mechanics, theory of the density matrix; applications, mainly in solid state physics.
one term.
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 interprctation of electron diffraction patterns, refraction of electron waves, atomic scattering, dynamical theory, electron interference effects in electron microscope images.
Electrons in electro-static 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) Yonic 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. (Photo-conductivity and luminescence.)
(c) Inert Gas Solids. Theory of crystal lattices: quantum mechanical basis, interatomic 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.