105 courses in the 1971–72 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Department of Physics
Professor and Chairman of the J.W. Leech, B.Sc., Ph.D. (London), FInst.P Department . Professor R.A. Aziz, B.A., M.A. Ph.D. (Toronto) Professor G.A. Bakos, B.A. (Trnava), M.A. (Bratislava), M.A., Ph.D. (Toronto) Professor and Associate Dean of F.W. Boswell, B.A., M.A., Ph.D. (Toronto) the Faculty of Science Professor D.E. Brodie, B.Sc., M.Sc., Ph.D. (McMaster) Professor J.A. Cowan, B.Sc. (Manitoba), M.A., Ph.D. (Toronto) Professor 1.R. Dagg, B.Sc. (Manitoba), M.S. (Penn State), Ph.D. (Toronto) Professor J. Grindlay, B.Sc. (Glasgow), D.Phil. (Oxon) Professor (Chemistry and Physics) W.B. Pearson, D.F.C,,M.A., D.Sc. (Oxon), F.R.S.C. F.CIC. 1d Dean of the Faculty of Science Professor and Academic H.E. Petch, B.Sc. (McMaster), M.Sc. Ph.D. (U.B.C.) F.RS.C. Vice-President Professor G.E. Reesor, B.A., M.A. (McMaster), Ph.D. (Toronto) Professor R.A. Snyder, B.Se., Ph.D. (Western) Professor S.F. Wang, B.E. (Port Arthur, China), D.Sc. (Nagoya) Adjunct Professor J.A. Barker, D.Sc. (Melbourne), F.A.A.S. Adjunct Professor D.J. Henderson, B.A. (U.B.C.), Ph.D. (Utah), F. Inst P. Associate Professor A. Anderson, M.A., D.Phil. (Oxon) Associate Professor P.C. Eastman, B.Sc., M.Sc. (McMaster), Ph.D. (U.B.C.} Associate Professor H.K. Ellenton, B.Sc. (Western), M.A. (Toronto) Associate Professor J.A.V. Fairbrother, B.Sc. (London), Ph.D. (Reading) Associate Professor N.R. Isenor, B.Sc. (Acadia), M.S.c., Ph.D. (McMaster) Associate Professor J.D. Leslie, B.A.Sc. (Toronto), M.S., Ph.D. (Illinois) Associate Professor C.C. Lim, B.A. (DePauw), M.A. (Nebraska), Ph.D. (Toronto) Associate Professor R.A. Moore, B.Sc., M.Sc. (McMaster), Ph.D. (Alberta) Associate Professor H.M. Morrison, B.Sc., Ph.D. (Edinburgh) Associate Professor J.L. Ord, B.A.Sc. (Toronto), M.S., Ph.D. (Illinois) Associate Professor M.M. Pintar, B.Se., M.Sc., Ph.D. (Ljubljana) Associate Professor A.D. Singh Nagi, B.A., B.Sc. (Panjab), Ph.D. (Delhi) Associate Professor H.3.T. Smith, B.Sc. Ph.D. (London) Associate Professor B.H. Torrie, B.A.Sc. (Toronto), Ph.D. (McMaster) Associate Professor K.A. Woolner, B.Sc. (London) Assistant Professor J.K. Brandon, B.Sc., Ph.D. (McMaster) M.A. (Cantab.) Assistant Professor J.M. Corbett, B.A.Sc. (Toronto), M.Sc., Ph.D. (Waterloo) Assistant Professor A.E. Dixon, B.Sc. (Mt. Allison), M.Sc. (Dalhousie), Ph.D. (McMaster) Assistant Professor M.P. FitzGerald, B.Sc., M.Sc. (Toronto), Ph.D. (Case) Assistant Professor H.E. Frey, B.S., M.S., Ph.D. (Penn. State) Assistant Professor D. Hemming, B.Se., Ph.D. (Bristol) Assistant Professor J. Kruuv, B.A.Sc., M.Sc. (Waterloo), Ph.D. (Western) Assistant Professor T.K. Mitra, B.Sc., M.Sc. (Calcutta), Ph.D. (Liverpool) — Assistant Professor D.L. Roberts, 4.B. (Bowdoin College), Ph.D. (Case) Assistant Professor J. Vanderkooy, B.Eng., Ph.D. (McMaster) Instructor A.B. Haner, B.Sc., M.Sc. (Waterloo) Instructor D.S. McVicar, B.Sc. (Waterloo) Instructor L.J. Young, B.Sc. (Waterloo)
Undergraduate Course Descriptions
Note 1 Details of the undergraduate programmes offered by the Faculty of Science are to be found on page 130.
Note 3
11 Mechanics and Wave Motion
Department of Physics
Prerequisites are given as a guide to the student and may be waived with the consent of the instructor.
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. For students registered in the Year ] Engineering Programme. 3 lectures, 1 hour tutorial, fall term.
Electric fields and potential, D.C. circuits, magnetic fields, A.C. generators and circuits, elementary electronics. The thin lens equations, diffraction, resolution of optical instruments, the eye, camera, telescope and microscope, coherent light, colour, polarization, birefringence and photometry. 3 lectures, fall term.
Mechanics: the conservation laws as applied to particles and rigid bodies of simple geometry. Properties of matter: elasticity, viscous flow, diffusion, surface effects, weight. Modern physics (excluding topics covered in Chemistry 131): atomic and nuclear models, radioactivity, the detection and uses of radiation, dating. Heat flow and elementary thermodynamics. 3 lectures, winter term.
The one-year sequence Physics 101*-102* is not normally followed by upper year Physics courses and is intended for students registered in the Year I Science programme who intend to proceed in Biology, Biology and Chemistry, or Earth Sciences. (It may be used as a prerequisite for Physics 301*-302*)
A special physics course for Kinesiology students. 3 lectures, 2 hours laboratory, fall term.
Introduction to mechanics, motion of particles, conservation of energy and momentum, rotational motion. Prerequisite: Mathematics A. 3 lectures, 3 hours laboratory or 2 hours tutorial, fall term.
This course is a continuation of Physics 121*. Vibrations, waves, gravitation, heat and thermodynamics, properties of materials. Prerequisite: Physics 121* 3 lectures, 3 hours laboratory or 2 hours tutorial, offered in winter and spring term. The one-year sequence Physics 121*-122* is intended Sor students registered in the Year I Science programme or the Year 1 Mathematics programme, and gives adequate preparation for upper year Physics courses.
This course is now offered under the Science course listings as Science 237* or 238*. See page 456 for details.
Vectors, rectilinear motion, plane motion, dynamics of particles, work and energy, linear momentum, rotational motion, angular momentum, statics, additional enrichment topics such as special relativity. Prerequisites: At least a 75% average in * Grade 13 Physics and Math A. D Fone e @ Le Pb 8 ww
Department of Physics
This course is a continuation of Physics 162*. Harmonic motion, gravitation, wave motion, sound waves, temperature, heat, first and second laws of thermodynamics, kinetic theory of gases, additional enrichment topics such as quantum concepts. Prerequisite: Physics 162*, 3 lectures, 3 hours laboratory or 2 hours tutorial, offered in winter and Spring term.
162*-163* is an enriched version of the The one-year sequence Physics Physics 12] *-122* sequence intended for students registered in the Year I Science programme or the Year I Mathematics programme, and is normally followed by upper year Physics courses.
Electrostatics, D.C. circuits, magnetic fields. Prerequisite: Physics 121* and 122* or equivalent; Mathematics 130. 2 lectures, 3 hours laboratory and 2 hours problems on alternate weeks, fall term.
Electromagnetic induction, A.C. circuits, electrical measurements, introductory electronics. Prerequisite: Physics 222* 2 lectures, 3 hours laboratory and 2 hours problems on alternate weeks, winter term.
Reflection and refraction at plane and curved surfaces, thin and thick lenses, optical instruments. Prerequisites: Physics 121* and 122* or equivalent, and Mathematics 130. 2 lectures, 3 hours laboratory on alternate weeks, fall term.
The wave nature of light, interference, diffraction, slits and gratings, resolution, polarization, photometry. Prerequisite: Physics 226*. 2 lectures, 3 hours laboratory on alternate weeks, winter term.
Reflection and refraction. Huygen’s principle. Image forming properties of a plane surface, spherical surface, thin lens. The thick lens and lens systems. Cardinal points. The matrix treatment of geometrical optics. Aberrations. Principles of optical instruments. Wave nature of light. Dispersion. Interference. Newton’s rings. Colours of thin films. Interference filters. Fresnel and Fraunhofer diffraction. The diffraction grating. Resolving power. Principles of high resolving power instruments. Polarization. Prerequisites: Physics 121* and 122* or equivalent, and Mathematics 125 or 130 This course is intended primarily for students registered in the Optometry programme. “ 3 lectures, 3 hours laboratory on alternate weeks, fall term.
This is a two term course consisting of the courses Physics 250* and 251* for Correspondence and Summer School students only. 3 lectures.
Electrostatics, D.C. circuits, magnetic fields, electromagnetic induction.
Department of Physics
Mathematics 130. 3 lectures, 3 hours laboratory alternate weeks, offered in fall and spring terms.
Background of quantum physics: special relativity, Bohr atom, wave-particle properties, uncertainty and wave packets. Introduction to quantum mechanics: equation for travelling wave, Schrodinger equation, solutions with potentials, correspondence principle., brief description of transitions and radiaton processes. Kinetic theory, basic statistical mechanics, Boltzmann distribution, elementary X-ray diffraction. (Not for General Students.) 2 lectures, for 2 terms.
Aspects of the sky; motions of the earth; the earth and moon; the planets; the sun; gravitational astronomy; comets, meteors and meteorites. Prerequisites: A first year physics course and mathematics 30, or consent of instructor. 3 lectures, fall term.
The stars; stellar motions; clusters; the structure of the Milky Way; exterior systems; cosmogony; radio astronomy. Prerequisite: A first year physics course and Mathematics 130, or consent of instructor. 3 lectures, offered in winter and spring terms.
Electrostatic fields, potential, steady currents, magnetic fields. Prerequisites: Physics 121* and 122* or 162* and 163*; Mathematics 130. Corequisite: Mathematics 237. 2 lectures, 1 hour of problems, offered in fall and winter terms. Recommended for students registered in Honours programmes.
For students taking Physics 252* 3 hours, alternate weeks, 0.25 course credit. (0.50 lecture hour credit)
Induced electromotive forces, magnetic properties of materials, time-varying current, electromagnetic waves. Prerequisites: Physics 252%, Mathematics 31*. 2 lectures, 1 hour of problems, offered in fall, winter and spring terms. Recommended for students registered in Honours programmes.
For students taking Physics 253*. 3 hours, alternate weeks, 0.25 course credit. (050 lecture hour credit)
Background of quantum physics: special relativity, Bohr atom, wave-particle properties, uncertainty and wave packets. Introduction to quantum mechanics: equation for travelling wave, Schrédinger equation, solutions with potentials, correspondence principle, brief description of transitions and radiation processes. Prerequisites: Physics 121* and 122* or Physics 162* and 163* and Mathematics 130. 3 lectures, offered in fall, winter and spring terms. Recommended for students registered in Honours programmes.
Reflection and refraction at plane and curved surfaces using the matrix method; thin and thick lenses, optical instruments. The wave nature of
Department of Physics
Prerequisites: Physics 121* and 122* or 162* and 163*, Mathematics 130 3 lectures, offered in fall and winter terms. Recommended for students registered in Honours programmes.
For students taking Physics 256*. 3 hours, alternate weeks, 0.25 course credit. (0.50 lecture hour credit)
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. Prerequisites: Physics 121* and 122* or 162* and 163%, Mathematics 130. 3 lectures, offered in fall, winter and spring terms.
For students taking Physics 259*. 3 hours, alternate weeks, 0.25 course credit. (0.50 lecture hour credit)
Further selected experiments in electricity and magnetism, optics, X-ray diffraction, and astronomy. 3 hours laboratory, offered in fall and winter terms, 0.50 course credit (1.00 lecture hour credit)
A continuation of Physics 270*. 3 hours laboratory, offered in fall, winter and spring terms, 0.50 course credit (1.00 lecture hour credit)
Ultra-centrifugation, spectroscopy, microscopy, use of radioactive tracers. Prerequisite: a first year physics course, Mathematics 130. 2 lectures, fall term.
Detection and measurement of ionizing radiation, read-out devices, transducers and other techniques. Prerequisite: Physics 301* 2 lectures, winter term.
Fundamentals of modern physics, special theory of relativity, quantization of electromagnetic radiation, wave properties of particles, the hydrogen atom, atomic and X-ray spectra. Prerequisites: Physics 222*, 223*, 226* and 227*. 3 lectures, offered in fall and spring terms. Recommended for students registered in General programmes.
Nuclear structure, nuclear reactions, molecular and solid state physics. Prerequisite: Physics 324* 3 lectures, winter term. Recommended for students registered in General programmes.
Thermodynamic systems, equations of of state, the laws of thermodynamics, with applications - Change of phase. Kinetic theory of an ideal gas, distributions of molecular velocities, transport phenomena. Haxwell-Boltzman statistics, quantum statistics, fluctuations. 3 lectures.
This is a two-term course consisting of Physics 350* and Physics 351* for Correspondence and Summer School students only.
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Department of Physics
equations. Line broadening effects. Radiation transfer theory. Sources of opacity. The spectra of the sun and stars. Prerequisites: Students should be in third or fourth year of Science, Mathematics or Engineering, or obtain consent of instructor. Offered in the fall term of odd-numbered years to third and fourth year students. 3 lectures.
Physical properties of the stars. Stellar distance determination. Distribution of the stars in space. The solar motion. Galactic rotation. Stellar dynamics. Characteristics and structure of our galaxy and external systems. Prerequisites: Students should be in third or fourth year of Science, Mathematics or Engineering, or obtain consent of instructor. A one-term course offered in winter and spring terms of even-numbered years to third and fourth year students. 3 lectures.
Physics 450*, Astrophysics 3, and Physics 451*, Astrophysics 4, are also open to third and fourth year students.
A survey of tubes, transistors and solid state devices. Basic A.C. circuit theory, power supplies, equivalent circuits, amplifiers and feedback. Prerequisites: Physics 222*-223* or equivalent and Mathematics 31* 3 lectures offered in fall, winter and spring terms.
For all students taking Physics 352*. 3 hours, alternate weeks, 0.25 course credit (0.50 lecture hour credit).
Applications of feedback to oscillators, operational amplifiers, analogue computers and multi-vibrators. Introduction to digital circuits. Prerequisite: Physics 352* 2 lectures, winter term.
For students taking Physics 353*. 3 hours, alternate weeks, 0.25 course credit (0.50 lecture hour credit).
Schrédinger equation for the hydrogen atom and other spherical potentials. Many electron atoms: quantization of angular momentum, space quantization, normal Zeeman effect, Stark effect, spin, spin-orbit coupling, total angular momentum, Stern-Gerlach experiment, Pauli principle, periodic table, X-ray spectra. Molecular binding, rotational and vibrational spectra, application of Schrédinger equation to diatomic molecules. Lasers, principles and applications. Prerequisite: Physics 255* 2 lectures per week, fall term.
Nuclear structure. Nuclear decay and reactions. Nuclear processes in nature. Elementary particles. Particle acceleration and detection. Prerequisite: Physics 255*. 3 lectures, winter term.
Thermodynamic systems, equations of state, the laws of thermodynamics with applications. Change of phase. Prerequisites: Mathematics 237 and Physics 162* and 163*. 3 lectures, offered in fall and spring terms.
Basic theory; ideal, classical and : d quantum gas. Occupation numbers. re ae ai ee | re eee Pr wee.
Department of Physics
Selected experiments in mechanics, heat, sound, optics, spectroscopy, X-ray, atomic physics, electricity, magnetism, and electronics. 6 hours laboratory, offered in fail, winter and spring terms, 1.00 course credit (2.00 lecture hours credit)
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. Prerequisites: Physics 162* and 163*, Mathematics 130, 237 and 31*. 3 lectures, offered in fall and spring terms.
Statics, translation and fixed-axis rotation of a rigid body. Moving frames of reference, gravitation. Lagrange’s equations. Prerequisites: Physics 362* or Mathematics 234. 3 lectures, winter term.
Vector and tensor analysis with applications. Prerequisites: Mathematics 237 and 31*. 3 lectures, offered in fall and spring terms.
The partial differential equations of mathematical physics. Sturm-Liouville theory. Bessel and Legendre functions. Fourier analysis. Prerequisite: Physics 364°. 3 lectures, winter term.
Introductory topics on the physics of the earth. Seismology and the earth’s interior. Thermal history of the earth, gravity and isostasy. Origin of the continents and continental drift. (Identical to Earth Sciences 368*.) Prerequisite: Mathematics 130. 2 lectures, fall term.
The geology of the ocean basins. Topics in physical oceanography. Physical properties of ocean water, heat budget of the world oceans. Oceanic circulations. Coriolis effects. Some idealized current regimes. (Identical to Earth Sciences 369*) Prerequisite: Physics 368°. 2 lectures, winter term.
Further experiments in mechanics, heat, sound, optics, spectroscopy, X-ray, atomic physics, electricity, magnetism and electronics. 6 hours laboratory, winter term 1.00 course credit (2.00 lecture credit)
Energy production, transport and release in cells; structure of large molecules and their replication, genetic code, control of intracellular ‘processes. Prerequisites: Mathematics 31*, Physics 252* and 253* or consent of instructor First year Chemistry. 3 lectures, fall term.
Structure and behaviour of cell membranes, diffusion problems, selective ion transport, electrical activity and nerve conduction, cilia and flagella, muscle cells, sensory receptor cells, synthesis of cell components and cell division. Prerequisite: Physics 380*
Department of Physics
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. Special theory of relativity. Prerequisite: Physics 362*, 363", 364* and 365*. 2 lectures and I tutorial hour for two terms, fall and winter.
Review of vacuum tube electronics. Statistics of electrons in semiconductors, transport properties, minority carrier injection, theory of p-n junctions, transistors, tunnel diodes, field effect devices. Applications. Prerequisite: Physics 259* 3 lectures, winter term.
An experimental research project. This course is designed for students in the Honours Physics Programme and in the Co-operative Applied Physics Programme, and enrolment may be limited to twenty-five students. 6 hours laboratory, for two terms, fall and winter, 1.00 courses credit (2.00 lecture hours credit)
Applications of wave mechanics; the harmonic oscillator, the hydrogen atom. Angular momentum. Scattering. Perturbation theory. Transitions. The multi-electron atom. Prerequisite: Physics 255* and 355*. 2 lectures and 1 tutorial hour for two terms, fall and winter.
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. Prerequisite: Physics 259* 3 lectures, fall term.
Functions of a complex variable. Integral transforms (Fourier, Laplace). Integral equations, Green’s functions. Prerequisite: Physics 364* and 365*. 2 lectures and 1 tutorial hour for two terms, fall and winter.
Selected subjects for advanced study by theoretically inclined students; topics in relativistic, quantum, and statistical physics. 3 hours per week, second term.
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, for two terms, fall and winter.
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 introuduction to radiation. 2 lectures and 1 tutorial hour for two terms, fall and winter.
A survey with emphasis on the physical properties and behaviour of metals and alloys. Elastic and plastic deformations of crystals. Ou am 4: ) na a PL. Ok ig PLY. Cn. ak
Department of Physics
Prerequisite: Physics 259°. 3 lectures, fall term.
An introduction, with applications in the areas of elasticity and hydrodynamics. (The electromagnetic field is discussed in Physics 441.) Topics covered are—the conservation laws; field equations; boundary conditions. Equations of state,invariance, material symmetry. Methods of solution; application to fluid and elastic systems with simple geometries. 3 lectures, winter term.
Elements of nuclear structure and systematics. Alpha emission, beta decay, gamma emission, two-body systems and nuclear forces, nuclear reactions. Neutron physics. Sub-nuclear particles. 3 lectures, winter term.
Coherence, interference and optical resonators; quantum optics, amplification and lasers. 3 lectures, fall term.
Radio telescopes. Radio sources including the sun. H 2 regions. H 1 regions. The galactic centre; pulsars; quasars; other extra-galactic sources; cosmological implications. Prerequisite: Same as Physics 350°. Offered in the fail term of even-numbered years to third and fourth year students. 3 lectures.
Solar system astrophysics. The solar photosphere, chromosphere and corona. The solar magnetic field and solar activity. The solar spectrum. Interplanetary gas. Physics of comets, meteors, asteroids. Planetary interiors. Planetary stmospheres, terrestrial and Jovian. The moon and other satellites. Origin and evolution of the solar system. Prerequisites: Same as Physics 350*. Offered in the fall term of even-numbered years to third and fourth year students. 3 lectures.
The structure of stellar interiors; nuclear reactions and energy sources in the stars of the main sequence; early evolution of stars from the main sequence. Lifetimes of the stars. Prerequisites: Same of Physics 350* Offered in the winter and spring terms of odd-numbered years to third and fourth year students. 3 lectures.
The effect of radiation of various kinds on cells and tissues; exposure calculations, mechanism of damage, repair theories, genetic effects, target theory; isotopic tracers in biophysical research. Prerequisites: Physics 222*-223* and Mathematics 236 or equivalent, or consent of instructor 3 lectures per week, fall term.
Special senses, biological transducers, information handling in the central nervous system, theories of muscle contraction; physics of homeostasis, interactions with the environment, circulation of blood, temperature regulation, respiration, and transport problems. Prerequisites: Physics 222*-223* and Mathematics 236 or equivalent, or consent of instructor. 3 lectures, winter term.
Astrophysics
Biophysics
Geophysics Laser Research Low Temperature Physics
Metal Physics
Microwave Research
lagnetic Resonance and Neutron Diffraction
Spectroscopy
Physics of Lattice Defects
Thin Film Physics
Theoretical Physics
Metal and Alloy Crystal Structures
Department of Physics
Graduate Studies and Research Programmes See page 164 for general information
There are at present several major areas of study in the Department in which graduate students may specialize. These include.
Stellar evolution in galactic clusters, radial velocities and spectral analysis, galactic structure.
Radiation biophysics of synchronized cell cultures. Thermodynamics of intra-cellular movement. Radiation repair and transformation of cells by tumor-producing viruses.
Physical limnology of the Great Lakes. Solid state injection lasers, laser-produced plasmas. Experimental studies of condensed inert gases, liquid helium, ultrasonics.
Diffusion, secondary electron emission. Electronic properties (Fermi surfaces, cyclotron resonance). Electron tunnelling in superconductors.
Dielectric constant measurements. Field induced absorptions, microwave spectometry.
Physical properties of non-metallic solids, especially ferroelectrics.
Raman and Brillouin scattering, infra-red absorption Layer structures, properties of vacancies and impurities.
Epitaxial, anodic oxide, and semi-conducting films, active thin film devices.
Theory of liquids, the elastic dielectric, electronic states in crystals and molecules, colour centers, phonon dispersion curves, polymers, super-conductivity, liquid helium. Lattice dynamics of molecular crystals.
Crystal structure determination using diffraction methods. Study of relationships between structure and physical properties. Study of phase stability in metal structures.
Details regarding these programmes and the faculty members engaged in them are to be found in a booklet prepared by the Department of Physics. The booklet also discusses admission procedures, programmes of study, teaching and research facilities and equipment, and is sent to every potential graduate student who applies for admission. New areas of research are usually added each year.
1620 Quantum Mechanics 1
1621 Quantum Mechanics 2
Department of Physics
Graduate Course Descriptions.
All graduate courses are three lectures per week for one term. Those indicated (t) are available every year, others are given when required.
A second course in the subject involving a re-examination of the principles of wave and matrix mechanics and applications to more complicated systems. Prerequisite: Physics 434 or equivalent. Fall term.
Semi-classical treatment of radiation. Identical particles and spin. Atoms and molecules. Scattering. Dirac equation. Quantization of the electromagnetic field. Low order radiation processes. Prerequisite: Physics 620, winter term.
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.
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. 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.
The fine and hyperfine structure of one-electron and many-electron atoms, the Zeeman and Stark effects.
Vibrational and rotational spectra of simple molecules; symmetry considerations and selection rules; spectra of condensed phases; brief survey of instruments and techniques of microwave, infrared and Raman spectroscopy.
Fundamental properties of nuclei; internucleon forces, size, moments, shapes, binding energies. Nuclear models. Electromagnetic properties of nuclei. Particle radioactivity. Nuclear reactions.
Review of elementary mechanics, Lagrangian formulation, variational principles, Hamiltonian formulation; rigid, body kinematics and dynamics, special relativity, transformation theory, Hamilton-Jacobi theory.
Solutions to Maxwell’s Equations; Radiation Theory; normal modes; multiple expansion; Kirchhoff diffraction theory; radiating point charge; optical theorem. Special relativity; transformation laws for Maxwell’s Equation; line broadening. Dispersion; Kramer-Kronig Relations. Hamiltonian formulation of Maxwell’s Equations. Magnetohydrodynamics. Prerequisite: Physics 441 or equivalent.
Selected Topics.
Department of Physics
Crystal lattices. Point group and space group symmetries. Principles of diffraction and space group determination. (This course is also listed as Chemistry 638*).
X-ray optics and instrumentation. Methods of crystal structure determination: Fourier synthesis, the phase problem, refinement, crystallographic computing. (This course is also listed as Chemistry 639").
The influence of temperature, pressure, electron concentration, geometrical and chemical bond constraints, etc., on entropy and enthalpy and therefore on phase and structural stability. The electron theory of metals, influence of E vs. k relationships on structural stability, role and interactions of d and / electrons in metals and alloys; influence on properties.
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, interpretations of electron-diffraction patterns and diffraction-contrast effects in electron microscope images, selected experimental methods in electron microscopy.
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.
Applications of the principles of statistical mechanics to classical and quantum many-body systems.
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.
Waves in lattices. Static elastic, thermal, dielectric and magnetic properties of solids. Fermi surface. Prerequisite: Physics 435 or equivalent.
Interactions in solids. Transport properties of solids. Superconductivity. Optical properties of solids. Selected topics. Prerequisite: Physics 648.
Perfect and imperfect crystals, general properties and origins of point defects and dislocations, stacking faults, interactions of imperfections, influence of lattice imperfections on physical properties and their role in deformation of crystals and phase transformations, experimental detection and observation of imperfections.
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.
mechanical basis, interatomic Theory of crystal lattices; quantum ar aT Trt ee ee ee es Pe a
4 Advanced Quantum Theory of Solids
Department of Physics
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properties.
Application of quantum field theory to phonons and electrons, many-body techniques, electron-phonon interactions, and selected topics.
Reflection and refraction of electromagnetic waves at dielectric and conducting interfaces. Dispersion, absorption processes, photo effects, magneto-optical effects, emission of radiation.
Introduction to the theory of magnetic phenomena in metals and non-metals. Relevant experimental work will also be discussed.
Basic magnetic resonance theory; magnetic nuclear dipolar broadening of rigid lattices, nuclear spin-lattice relaxation. Electron paramagnetic resonance. Electron spin-lattice relaxation. Fall term.
The phenomenological theory of the elastic, dielectric and thermal properties of crystals. Classical field theory—linear and non-linear; field equations and boundary conditions; equations of state; material symmetry. Thermodynamics; thermodynamic identities; phase transitions. Applications to the ferroelectric crystals.
Review of essential quantum field theory; zero and finite temperature; Green’s functions. Applications to Fermi liquids, electronphonon problem, superconductivity and magnetic impurities.
General theory of magnetic resonance absorption; method of Kubo and Tomita; dynamical theory of nuclear induction; shape of absorption lines for crystals. Magnetic interactions of nuclei with electrons, electric quadrupole effects. Prerequisite: Physics 657 or equivalent. Winter term.
Macroscopic properties and phenomenological theories. Electron-phonon interaction, Cooper pairs and BCS theory. Applications of BCS theory especially to electron tunnelling.
Theory of optical coherence; quantum electronic processes and devices.
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.
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.
Physical methods of determining macromolecular structure; energetics, intramolecular and intermolecular forces, information storage, DNA and RNA, recognition and rejection of foreign molecules.
Physical properties and biological effects of different kinds of radiation; artian af esAinsins --— ---—----
Department of Physics
radiotherapy, isotopic tracers.
This course is designed to give students, especially those taking a degree based on course work alone, a survey of research going on in Biophysics today. It will involve reading in the current periodical literature, essays and student seminars describing work being done in specific fields, a search of the literature associated with a research area of interest to the student, and faculty lectures on selected topics.
Selected subjects for advanced study.
Students who will not present a thesis as part of their M.Sc. programme are encouraged to take this course. They will be expected to become a part of each in turn of the various research projects currently under way in the laboratory for long enough to become familiar with the purpose of the project and with the techniques involved. They will then be asked to undertake and write up a small research project under the supervision of one of the project leaders in the Biophysics laboratory.
Neurons; nerve conduction; sensory transducers; coding, processing and storage of information; control of muscles and other effector organs. Some knowledge of molecular and cellular biophysics is assumed.
Radiation problems with tissue cultures and related topics.
Tensor analysis: covariant and contravariant tensors, covariant differentiation. Riemmanian space, geodesics. Ricci tensor, Christoffel symbols, General relativity: gravitation and special relativity, equivalence principle, field equations of general relativity. Schwarzchild 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.
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.
Spherical Trigonometry. The celestial sphere. Determination of Position. Precession and nutation. Orbital behaviour of planets and stars. Application to double star theory. The analysis of visual binary orbits. Spectroscopic and eclipsing systems. The mass, luminosity and radii of binary stars.
The three-body and n-body problems. Surfaces of constant velocity. Libration points for circular orbits. Theory of perturbations. The lunar theory. Application to satellite orbits.
The fundamental astronomical data; the 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.
Department of Physics
Theory and practice of astronomical spectroscopy. Identification, line and band intensity measurements. Classification of normal and peculiar spectra. The interpretation of spectra of observed astronomical sources. Spectral classification systems at high and low dispersions.
Theory of the stellar photosphere and the continuous spectra of stars. The formation of absorption and emission lines in stellar spectra. Determination of ionic abundances, surface pressure, surface temperature from spectra. The spectra of planetary and interstellar nebulae. Computation of model atmospheres.
The theory of stellar interiors and nucleogenesis. Chemical synthesis in stars. Evolution of stars from the pre-main sequence stage to the white dwarf stage. The influence of mass and chemical abundance of the structure and evolution of stars. Instability in evolving models. Computation of stellar models.
Professor and Chairman of the Department
Professor
Associate Professor J
Associate Professor and Deputy Chairman of the Department Associate Professor
Associate Professor
Associate Professor
Assistant Professor
Assistant Professor
Assistant Professor
Assistant Professor
Lecturer
1 General Programme
2 Honours Programme
3 Joint Honours Programmes