23.1.1 GRADUATE FACULTY
Krause, Lucjan; B.Sc. (London), M.A., Ph.D. (Toronto), D.Sc. (London; Nicholas Copernicus), F.Inst.P.—1958.
Czajkowski, Mieczyslaw; M.Sc., D.Sc. (Nicholas Copernicus)-1967
Drake, Gordon W. F.; B.Sc. (McGill), M.Sc. (Western Ontario), Ph.D. (York), F.Inst.P., F.R.S.C.—1969. (Killam Research Fellow, 1990–1992) (Head of the Department)
McConkey, John William; B.Sc., Ph.D. (Queen's University of Belfast), F.Inst.P.—1970. (Killam Research Fellow, 1986–1988)
van Wijngaarden, Arie; B.Sc., Ph.D.
(McMaster)—1961.
Schlesinger, Mordechay; M.Sc., Ph.D. (Jerusalem), F.Inst.P.—1968.
Baylis, William Eric; B.S. (Duke), M.S. (Illinois),
D.Sc. (Technical U. of Munich)—1969.
Atkinson, John Brian; M.A., D. Phil.
(Oxon.)—1972.
Helbing, Reinhard K. B.; Dipl. Phys.,
Dr. Rer. Nat. (Bonn)—1972.
Glass, Edward N.; B.S. (Carnegie-Mellon), M.S., Ph.D. (Syracuse)—1974.
Maev, Roman G.; B.Sc. (Moscow Physical Engineering Institute), M.Sc. (Moscow Physical Technical University), Ph.D. (Lebedev)-1995
Snyder, Dexter Dean; B.A. (Wabash), Ph.D. (Massachusetts Inst. Technology)-1995
Aroca, Ricardo; B.Sc. (Chile), Ph.D. (Moscow State), D.Sc. (Leningrad)—1985.
Jones, William E.; B.Sc., M.Sc. (Mount Allison), Ph.D. (McGill)—1991. (Vice-President, Academic)
The basic qualification for admission consists of a Bachelor's degree with adequate specialization in Physics, obtained with first or second class honours or an A or B average. Students with deficiencies may be required to make up these deficiencies by registering in undergraduate courses or by following a program of supervised reading.
Applicants whose academic credentials are difficult to assess may be required to write the Graduate Record Examination (GRE) administered by the Educational Testing Service. Inquiries should be made at the time of application. Details of the examination may be obtained from the Educational Testing Service, Princeton, New Jersey, U.S.A., 08540.
1) Period of Study: A minimum of three years in full-time graduate studies is required. Credit for one of the three years may be given for a Master's degree obtained in this Department or for graduate work carried out at another institution. Not more than seven years should elapse between registration and completion of the requirements for the degree; an extension of this period may be granted only on recommendation from the Department and approval by the Faculty of Graduate Studies and Research.
2) Course Work: Candidates with Master's degrees in Physics (or equivalent) will complete a minimum of four graduate courses, including 64-610, 64-612 (or 64-613), and at least one of 64-630, 64-650, or 64-651. Candidates also must take 64-550 and 64-551 if previous equivalent credit has not been obtained.
Candidates who do not have a Master's degree in Physics (or equivalent) will complete a minimum of eight graduate courses which must include 64-510, 64-550, 64-551, 64-610, and at least three of 64-630, 64-631, 64-640, 64-650, or 64-651.
3) Doctoral Committee: Within one month after registration each student will be assigned to an advisory committee consisting of a research advisor and two other faculty members in the Department.
This committee will, from time to time, review the student's progress (see 1.5.2).
For the defense of dissertation (final oral examination) the advisory committee will be supplemented by one professor from another department and an external examiner who, as an expert in the field of physics in which the candidate's research is carried out, will appraise the dissertation and ordinarily will also be present at the final oral examination.
4) Dissertation: In order to qualify for the degree each candidate must present a dissertation embodying the results of an original investigation in a branch of physics. Graduate courses form an important but subsidiary part of the program.
The candidate, when requested, shall submit to the chief advisor from time to time portions of the dissertation and a complete draft on a date specified by the advisor, and place four typewritten copies of the completed dissertation in the hands of the advisor at least six weeks before Convocation. Rules governing binding, quality of paper, etc., of the dissertation can be found in Procedures to Follow in Preparing a Thesis or Dissertation (see 1.5.3).
5) Examinations: In addition to the examinations in the courses, all candidates must pass qualifying examinations covering the general field of physics at the level of the honours program given in this Department. The examinations must be passed after the completion of the M.Sc. degree, not later than one year after registration as a graduate student proceeding to the Ph.D. Other examinations (written or oral) may be set at the discretion of the Department.
Each candidate will, on recommendation of the advisory committee, submit to a final oral examination in defense of the dissertation.
1) The requirements for the degree of Master of Science may be satisfied by pursuing a program of studies consisting of either not less than eight and not more than ten graduate courses, or at least four and not more than six graduate courses and a thesis.
2) 64-510, 64-521, 64-550 and 64-551 will be required of all candidates.
Candidates proceeding to the M.Sc. by either of the above options may include in their program, with the approval of the Department, two undergraduate courses.
3) Candidates who are proceeding to the M.Sc. by course work alone may be permitted to include in their programs four courses in Mathematics.
Not all of the courses listed below will necessarily be offered in any one year.
In order to receive credit for this course, a student should attend the weekly departmental seminar throughout M.Sc. studies and present a minimum of one seminar on a topic approved by the Seminar Coordinator.
Radiation by moving charges, synchrotron radiation, bremsstrahlung, scattering of radiation, multipole fields, radiation reaction.
Review of atomic collisions and kinetic theory, motion of charged particles, elementary processes in the production and decay of ionization in gases, plasma waves and oscillations, transport processes, elements of magnetohydrodynamic stability theory. Applications of plasma physics.
Classical theory of scattering. Formal quantum theory. The definitions of cross sections, transition probabilities and related concepts. The Born approximation, phase shifts.
The Green function approach. Elastic scattering of particles with spin. Examples from atomic and nuclear phenomena. (Prerequisite: 64-540.)
Atomic/molecular beam methods and techniques. Collision phenomena in atomic and molecular scattering, including elastic, inelastic and reactive scattering, excitation, ionization, and charge exchange. Detailed discussion of the experimental results and their interpretation in terms of interatomic/molecular forces and potentials.
A variety of topics in electron and photon collisions highlighting current advances in these fields and including total and differential elastic and inelastic scattering of electrons and positrons, resonances, polarization, coherence and correlation effects, post-collision interactions, photon-stimulation spectroscopy. (Prerequisite: 64-542.)
Rotation matrices, 3n-j coefficients and graphical techniques for angular-momentum coupling, irreducible tensor operators, the Wigner-Eckart theorem and applications, the density matrix, interactions of atoms with external fields.
Systems of identical fermions, the central-field approximation, self-consistent-field methods, the Thomas-Fermi model, Hartree-Fock theory, configuration interaction, coefficients of fractional parentage, relativistic effects. (Prerequisite: 64-554.)
Diatomic molecules, Born-Oppenheimer approximation, adiabatic potentials, Hund's coupling cases, rotational, vibrational, and electronic states and associated spectra. Applications of group theory to the structure and spectra of polyatomic molecules.
Rotational, vibrational, and electronic spectra of polyatomic molecules. Zeeman and Stark effects and hyperfine structure. Laser spectroscopy. Van der Waals molecules. (Prerequisite: 64-546.)
General principles, representations and transformation theory. Approximation methods. Many-body problems and identical particles.
Number representations and second quantization. Dirac equation. An introduction into quantum electrodynamics and the electro-weak theory. (Prerequisite: 64-550.)
Application of group theory to condensed matter physics: the study of point groups, Bravais lattices and space groups. Inverse lattice with applications to scattering phenomena.
Electric, magnetic and thermal properties of solids, superconductivity and superfluidity. The effects of imperfections and impurities in crystals. (Prerequisite: 64-560.)
64-563.Introduction to Elementary Particles
Long-lived particles; basic interactions and antiparticles; conservation laws and C, P, T; pions and nucleons; magnetic moments; strange particles; leptons; resonances; SU(3) multplets of hadrons; Regge poles, SU(6), and quarks.
The principle of equivalence, general covariance. Riemann spacetime Einstein field equations.
Simple solutions to the Einstein field equations, the crucial experiments, applications to cosmology. (Prerequisite: 64-574.)
A selection of topics from the following: characteristic properties of stars, stellar atmospheres, models of stellar interiors, nuclear reactions in stars.
Definition of thin films and their classification; methods of preparation; elements of high-vacuum technology; thin-film formation, structure and methods of investigation; mechanical, optical, electrical properties of thin films and their application in modern technology.
Stimulated emission, rate equation approach to amplification and output power calculations; Gaussian beams, stable and unstable resonators; Q-switching, mode-locking and cavity-dumping; ruby, Nd:YAG and other solid state lasers; semi-conductor, gas and dye lasers.
Physics of the atmosphere, general description and layering, interactions of incoming and outgoing radiations, greenhouse effect, atmospheric thermodynamics and stability, cloud physics, atmospheric dynamics, gravity waves and turbulence, atmospheric photochemistry, ozone layer, upper atmosphere, plasma and hydromagnetic effects, ionospere, air glow and aurora.
Non-relativistic theory of charged particles in electric and magnetic fields. Review of matrix optics, electrostatic lenses, magnetic lenses, electrostatic and magnetic vector fields. Applications to energy and mass analysis. The Liouville Theorem and its consequences. Dense electron beams and applications.
In order to receive credit for this course, a student should attend the weekly departmental seminar throughout Ph.D. studies and present a minimum of two seminars on topics approved by the Seminar Coordinator.
These courses consist of two survey lecture series to be selected from among several which will be offered each year. Each lecture series lasts for approximately half a term. Credit may not be obtained for any survey courses in subjects in which the student has taken another graduate course.
Review of thermodynamics; information theory. The many-body problem in quantum mechanics, particle number representation. Statistical (density) matrix. The perfect gas, real gases, dense plasma, applications.
The theory of macroscopic quantum phenomena. (Prerequisite: 64- 630.)
Symmetries and conservation laws, group representations, and particle muliplets; Lie groups and algebras; generators and weights of SU(n); the quark model; quantum chromodynamics; electro-weak interaction theory; supersymmetry; path integrals and Feynman diagrams.
Variational principles and conservation laws and applications, field equations and their solutions. (Prerequisite: 64-551.)
Quantization of fields; scalar, vector, and spinor fields. Quantum electrodynamics and applications; renormalization and radiative corrections. (Prerequisite: 64-650.)
Crystal field theory in the weak and strong coupling schemes. Molecular orbitals; vibronic interactions. Electronic structure and spectra of molecular complexes. (Prerequisite: 64-551.)