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Physics (PHYS)

65 courses in the 1967–68 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

Notes

Faculty listed in 1967–68

J. A. Cowan, B.Sc. (Manitoba), M.A., Ph.D. (Toronto) Professor and Chairman of the Department

R. A. Aziz, B.A., M.A., Ph.D. (Toronto) - - - Professor F. W. Boswell, B.A., M.A., Ph.D. (Toronto) = - - - Professor D. J. Henderson, B.A. (U.B.C.), Ph.D. (Utah), F. Inst. P. - Professor G. E. Reesor, B.A., M.A. (McMaster), Ph.D. (Toronto) - Professor A. Anderson, M.A., D.Phil. (Oxford) - - Associate Professor G. A. Bakos, B.A. (Trnava), M.A. (Bratislava), M.A., Ph.D.

(Toronto) - - Associate Professor D. E. Brodie, B.Sc., M.Sc., PhD. (McMaster) - _ Associate Professor I. R. Dagg, B.Sc. (Manitoba), M.S. (Penn. State), Ph.D.

(Toronto) - - - - Associate Professor

Faculty listed in 1967–68

P. C. Eastman, B.Sc., M.Sc (McMaster), PhD. (U.B.C.)

Associate Professor H. K. Ellenton, B.Sc. (Western), M.A. (Toronto) - Associate Professor J. Grindlay, B.Sc. (Glasgow), Ph.D. (Oxon) - Associate Professor N. R. Isenor, B.Sc. (Acadia), M.Sc., 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, M.Sc. (McMaster), Ph.D. (Alberta) = - Associate Professor J. L. Ord, B.A.Sc. (Toronto), M.S., Ph.D. (Illinois) - Associate Professor M. G. Rochester, B.A., M.A. (Toronto), Ph.D. (Utah) - Associate Professor S. F. Wang, B.E. (Port Arthur, China), D.Sc. (Nagoya) - Associate Professor S. H. Chen, B.Sc. (Taiwan), M.S. (Michigan), Ph.D. (McMaster )

Assistant Professor J. M. Corbett, B.A.Sc. (Toronto), M.Sc., Ph.D. (Waterloo) Assistant Professor

S. G. Davison, B.Sc., M.Sc., Ph.D. (Manchester) - Assistant Professor A. Dixon, B.Sc. (Mt. Allison), M.Sc. (Dalhousie), Ph.D.

(McMaster) - - - - - Assistant Professor D. Hemming, B.Sc., Ph.D. (Bristol) - - - Assistant Professor H. M. Morrison, B.Sc., Ph.D. (Edinburgh) - - Assistant Professor H. J. T. Smith, B.S., Ph.D. (London) - - Assistant Professor B. H. Torrie, B.A.Sc. (Toronto), Ph.D. (McMaster) - Assistant Professor K. A. Woolner, B.Sc. (London) - - - - Assistant Professor

Undergraduate Course Descriptions

Details of the undergraduate programmes offered by the Faculty of Science are to be found on page 99.

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PHYS 41 Mechanics, Wave Motion and Heat

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.

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PHYS 14 Optics

Geometrical optics, interference, diffraction and polarization. 3 lectures, 3 hours laboratory, one term.

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PHYS 15 Modern Physics

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.

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PHYS 43 Nuclear Physics

The atom and its nucleus, radioactive decay, nuclear masses and nuclear stability, nuclear spin and moments, structure of nuclei, gramma radiation processes, alpha decay, beta decay, nuclear reactions, fission, interaction and radiation with matter, counters, particle accelerators and reactors.

3 lectures, one term.

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PHYS 44 Classical Mechanics

Moving frames of reference and the special theory of relativity. Relativistic particle dynamics. Rotating co-ordinate 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.

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PHYS 45 Introductory Statistical Mechanics

Review of essential classical and quantum mechanics, microcanonical, canonical and grand canonical ensembles; quantum statistical mechanics, theory of the density matrix; applications.

3 lectures, one term.

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PHYS 46 Introduction to Quantum Mechanics

Origins of quantum theory. Waves and particles. Wave functions and wave packets. Schroedinger’s equation. Onedimensional motion in regions of varying potential. Fourier analyses, eigenvalues and expectation values. Axiomatic foundations of quantum mechanics. Operators, Angular momentum. Central force systems; the hydrogen atom. 3 lectures, one term.

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PHYS 100 General Physics I

Newtonian mechanics, conservation laws, heat and thermodynamics, electrostatics, D.C. circuits. 3 lectures, 3 hours laboratory alternate weeks.

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PHYS 131 Mechanics, Wave Motion and Heat

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.

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PHYS 200 General Physics II

Electromagnetism, A.C. circuits, geometrical and physical optics, introduction to atomic and nuclear physics. 3 lectures, 3 hours laboratory.

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PHYS 232 Electricity and Magnetism

Electrostatics, magnetic fields, electromagnetic induction, alternating current theory, the development of Maxwell’s equations. 2 lectures (3 hours laboratory on alternate weeks for students not taking Physics 233.)

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PHYS 233 Laboratory

Selected experiments in electricity and magnetism, optics, electronics, structure of solids and astronomy. 6 hours laboratory.

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PHYS 234 Quantum Physics

The scope of quantum physics, and the magnitudes involved. Energy levels. Photons, waves and particles. Quantum effects in measurements. Elementary applications of wave mechanics.

3 lectures, second term.

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PHYS 235 Optics

Reflection and refraction 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 alternate weeks.

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PHYS 236 Optics

Reflection and refraction 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. 3 lectures, first term. (3 hours laboratory alternate weeks for students not taking Physics 233).

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PHYS 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.

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PHYS 242 Electricity and Magnetism

Electrostatics, D.C. circuits, magnetic fields, electromagnetic induction, A.C. circuits, electrical measurements, introductory electronics.

2 lectures, 3 hours laboratory and 2 hours problems on alternate weeks.

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PHYS 243 Electricity and Magnetism

Electrostatics, D.C. circuits, magnetic fields, electromagnetic induction, A.C. circuits, electrical measurements. 3 lectures, 3 hours laboratory alternate weeks, one term.

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PHYS 245 Structure of Solids I

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, second term. (3 hours laboratory alternate weeks for students not taking Physics 233).

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PHYS 331 Classical Mechanics I

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; trans-

lation and fixed-axis rotation of a rigid body. Moving frames of reference. Lagrange’s equations. 3 lectures.

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PHYS 332 Electronics

An integrated survey of tube and transistor circuitry. Basic A.C. circuit theory, power supplies, amplifiers, equivalent circuits, oscillators, feedback, and a variety of special purpose circuits. Emphasis on the point of view of the user rather than the designer.

2 lectures, (3 hours laboratory, alternate weeks, for students not taking Physics 333).

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PHYS 333 Intermediate Laboratory

Selected experiments in mechanics, heat, sound, optics, spectroscopy, X-ray, atomic physics, electricity, magnetism, and electronics.

6 hours laboratory.

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PHYS 334 Atomic and Nuclear Physics I

The nuclear atom. The Bohr and Schrédinger models, Nuclear structure. Nuclear decay and reactions. Nuclear processes in nature. Elementary particles. Particle acceleration and detection.

2 lectures.

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PHYS 335 Thermodynamics, Statistical Physics

Thermodynamic systems, equations of state, the laws of thermodynamics, with applications. Change of phase. Kinetic theory of an ideal gas, distributions of molecular velocities, transport phenomena. Maxwell-Boltzmann statistics, quantum statistics, fluctuations.

3 lectures.

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PHYS 336 Physical Mathematics I

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; Legendre and Bessel functions. Fourier analysis; eigenfunctions. 2 lectures.

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PHYS 337 Astronomy II

Selected topics in astrophysics, cosmogony, and radioastronomy. 2 lectures.

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PHYS 338 Geophysics I

(Same as Earth Sciences 338). Selected introductory topics on the physics of the Earth. Seismology and the Earth’s interior. Thermal history of the Earth. Gravity and isostasy. Origin of continents and oceans. Terrestrial magnetism. Meterology. Oceanography.

2 lectures.

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PHYS 339 Atomic and Nuclear Physics

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.

Department of Physics

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PHYS 431 Classical Mechanics Review of Lagrangian

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Rotation of a rigid body; the ineria tensor; Hamiiton’s principle; Hamilton's equations. Classical theory of small vibrations. Dynamics of deformable matter; elasticity; hydrodynamics.

2 lectures.

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PHYS 432 Physics of Solid State Devices

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. pplications.

4334 Advanced Laboratory Selected exneriments

Advanced Laboratory. experiments in atom

physics, solid state physics, thermodynamics, Electrical and electronic measure-- ments, vacuum techniques. 6 hours laboratory, first term.

4338. Advanced Laboratory. A short Research Problem. 6 hours laboratory, second term.

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PHYS 434 Atomic and Nuclear Physics II

Applications of wave mechanics; the harmonic oscillator, the hydrogen atom. Angular momentum. Scattering. Perturbation theory, transitions, The multi-electron atom.

2 lectures.

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PHYS 435 Solid State Physics

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

3 lectures, first term.

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PHYS 436 Physical Mathematics 1

Theory of functions of a complex variable; conformal mapping and applications. Boundary value problems on lin

differentiai equations; separation of variabies; Green’s functions. Linear integra equations. Integral transforms (Laplace, Fourier). 3 lectures.

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PHYS 437 Topics in Theoretical Physics

Selected subjects for advanced study by theoretically inclined students; topics in relativistic, quantum, and statistical physics.

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2 lectures.

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PHYS 441 Electromagnetic Theory

A generalized treatment of the basic laws of electricity and magnetism; mathematical techniques for the problems of elec-

trostatics; solutions of Maxwell’s equation in free space and the study of plane waves; theory of waveguides and introduction to radiation. 2 lectures.

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PHYS 442 Structure of Solids II

A survey with emphasis on the physical properties and behaviour of metals and alloys. Flastic and plastic deformation of crystals. Solidification, structure of alloys, free energy of alloy systems, equilibrium diagrams, diffusion, solid state phasc transformations.

3 lectures, first term.

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PHYS 443 Hydrodynamics

Stress tensor, kinematics of strain, Navier-Stokes equations, hydrostatics, streamline flow, vorticity, waves, viscous flow. 3 lectures, second term.

444, Nuclear Physics. Elements of nuclear structure and systematics. Alpha emission, Bcta decay, Gamma emission, two-body systems and nuclear forces, nuclear reactions. Neutron physics. Sub-nuclear particles.

3 lectures, second term.

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PHYS 447 Astronomy III

Spherical astronomy and celestrial mechanics. 2 lectures.

Graduate and Research Programmes

See page 132 for general information.

There are at present several major areas of study in the Department in which graduate students may specialize. These include.

Low temperature physics: experimental studies of condensed inert gases, liquid helium, superconductivity, energy gap and Fermi surface determinations. Physics of lattice defects: layer structures, properties of vacancies and impurities.

Thin film physics: epitaxial, anodic oxide. and semi-conducting films - active thin film devices.

Laser Research: ruby laser research, solid state injection lasers.

Microwave research: dielectric constant measurements, field induced adsorptions, microwave spectrometry.

Theoretical Physics: geophysics. theory of liquids, theoretical solid state physics

Graduate Course Descriptions

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PHYS 620 Quantum Mechanics I

Principles of wave mechanics. Schroedinger’s equation. One dimensional and spherically symmetric problems. Matrix mechanics. Angular momentum. Time independent and time dependent approximation methods.

Three lectures, first term.

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PHYS 621 Quantum Mechanics II

Semi-classical treatment of radiation. Identical particles and spin. Atoms and molecules. Scattering. Dirac equation. Quantization of the electromagentic field. Low order radiation processes.

Three lectures, second term.

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PHYS 622 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.

3 lectures, one term.

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PHYS 623 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.

3 lectures, one term.

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PHYS 627 Atomic Spectra

The fine and hyperfine structure of one-electron and many-electron atoms, the Zeeman and Stark effects. 3 lectures, one term.

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PHYS 628 Molecular Spectra

The electronic, vibrational, and rotational spectra of diatomic and polyatomic molecules and the Raman effect. 3 lectures, one term.

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PHYS 630 Nuclear Physics

Fundamental properties of nuclei; internucleon forces, size, moments, shapes, binding energies. Nuclear models. Electromagnetic properties of nuclei. Particle radioactivity. Nuclear reactions.

3 lectures, one term.

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PHYS 634 Advanced Classical Mechanics

Review of elementary mechanics, Lagrangian formulation, variational principles, Hamiltonian formulations; rigid body kinematics and dynamics, special relativity, transformation theory, Hamilton-Jacobi theory.

3 lectures, one term.

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PHYS 635 Electromagnetic Theory I

The electrostatic and the magnetic field; energy, force and momentum relations in the electromagnetic field; Maxwell’s equations, solutions of the wave equation; radiation.

3 lectures, first term.

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PHYS 636 Electromagnetic Theory II

The special theory of relativity; the electromagnetic tensor; the field of moving charges; magnetohydrodynamics; selected topics.

3 lectures, second term.

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PHYS 640 Electron Optics and Electron Microscopy

Electrons in electrostatic fields, the electrostatic lens, the magnetic lens, aberrations, the electron microscope, theory of image contrast, Fresnel diffraction and image contour phenomena, electron diffraction and dark-field microscopy, experimental methods in electron microscopy.

3 lectures, one term.

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PHYS 641 Electron Diffraction

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.

3 lectures, one term.

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PHYS 645 Statistical Mechanics

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.

3 lectures, one term.

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PHYS 647 Low Temperature Physics

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 Hellium.

3 lectures, one term.

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PHYS 650 Solid State Physics

An introductory undergraduate course in classical solid state physics, or equivalent, is assumed. The free electron model in metals, band theory of solids, application of Brillouin zone theory, semiconductors, optical properties of solids and devices of current interest are some of the topics which are covered.

Three lectures, second term.

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PHYS 651 Imperfections in Crystals

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.

3 lectures, one term.

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PHYS 652 Photoconductivity and Luminescence

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.

3 lectures, one term.

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PHYS 653 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.

3 lectures, one term.

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PHYS 654 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.

3 lectures, one term.

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PHYS 655 Optical Properties of Semiconductors

Reflection and refraction of ‘electromagnetic waves at dielectric and conducting interfaces. Dispersion, ‘absorption processes, photo effects, magneto-optical effects, emission of radiation.

3 lectures, one term.

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PHYS 656 Magnetism

Introduction to the theory of magnetic phenomena in metals and non-metals. Relevant experimental work will also be discussed. oo 3 hours per week, one term.

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PHYS 660 Selected Topics in Physics

3 lectures, one term.

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PHYS 667 Molecular Biology

Selected topics of interest to biologists, biochemists and biophysicists will be presented at the advanced level with the aim of evaluating recent work and development in each area. Each will be developed from basic concepts and interrelationships emphasized. Topics will include: the structure of proteins and their properties in solution, transport through biological membranes, cell morphology and physiology, structure and function of selected organells, biosynthesis of macromolecules, and the chemistry of enzyme action. This graduate course is to be presented by members of the Biology, Chemistry, and Physics Departments and is intended to cover those areas common to these disciplines (identical to Biology 667 and Chemistry 667).

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PHYS 670 Physics of the Earth’s Interior

Selected topics in theoretical geophysics; seismology, rheology of the Earth, geomagnetism, the Earth’s rotation. 3 lectures, one term.

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PHYS 675 General Relativity and Cosmology

Tensor analysis: covariant and contravariant tensors, covariant differentation. 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.

3 lectures, one term.

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PHYS 680 Galactic Structure

Introduction to statistical theory and distribuion laws. Statistical description of the galactic system. Stellar motions in the vicinity of the sun. Space distribution of stars. Galactic rotation.

3 lectures and discussion, one term.

699, Thesis.

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