Dr. William E Baylis
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Dr. Gordon W. Drake, Chair
Ms. Petrona Parungo, Secretary
Department of Physics
Room 2883 Essex Hall North
University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone (519) 2533000 ext. 2647
Fax (519) 9737075
Email: physics@uwindsor.ca   Faculty & Staff Information Sheet
Personal Information:
Title: Dr.
First Name: William E
Last Name: Baylis
Degrees: B.Sc. (Duke U. 1961), M.Sc. (U. Illinois 1963), D.Sc. (Tech. U. Munich 1967), APS Fellow; Member of International Editorial Board of Advances in Applied Clifford Algebras; PastChair of the Division of Theoretical Physics of the Canadian Association of Physicists; Honorary President, Royal Astronomical Society of CanadaWindsor Branch.
Employee Type: Faculty
Rank/Job Title: Professor
Contact Information:
Office Location: 2891 Essex Hall
Office Ext.: 2673
Web site: http:// www.uwindsor.ca/baylisresearch
Email: baylis@uwindsor.ca
Research Interest:
Research Interests and Current Projects:
 Geometric Algebras (Clifford algebras) in Physics: paravectors in Clifford's Geometric algebra of physical space (APS) as a covariant framework for relativistic physics; electrodynamics, eigenspinors, Dirac theory, the classical/quantum interface, particle physics. For downloads and more information see www.uwindsor.ca/baylisresearch
 Theory of Atomic Interactions: atomic and molecular structure and atomic collisions, with special regard to correlation and relativistic effects. Collisional line broadening, oscillator strengths, scattering theory.
Publications:
Books Authored
 W. E. Baylis: Electrodynamics: a Modern Geometrical Approach, Birkhauser Boston, 380+xv pp., 1999. ISBN 0817640258. (Progress in Mathematical Physics Vol. 17). Second printing with minor corrections, 2002.)
 W. E. Baylis: Theoretical Methods in the Physical Sciences: an introduction to problem solving using Maple, Birkhauser Boston, 286 pp., 1994. ISBN 081763715X. Instructions and worksheets for using with Maple V release 5.
Books Edited
 W E. Baylis and G. W. F. Drake, editors: Atomic Physics 16, AIP Conference Proceedings 477, AIP, Woodbury, New York, 1999, 413 + viii pp, ISBN 1563967529
 W. E. Baylis and G. W. F. Drake, editors: Sixteenth International Conference on Atomic Physics, Abstracts of Contributed Papers, University of Windsor, (U. Windsor, 1998).
 W. E. Baylis, Editor: Clifford (Geometric) Algebra with Applications to Physics, Mathematics, and Engineering, Birkhauser Boston, 517+xviii pp, 1996. ISBN 0817638687.
 W. E. Baylis, G. W. F. Drake and J. W. McConkey, editors: Twelfth International Conference on Atomic Physics, Abstracts of Contributed Papers, University of Michigan, (U. Windsor, 1990).
Chapters contributed to books
 W. E. Baylis, “Applications of Clifford Algebras in Physics”, in Lectures on Clifford geometric Algebras and Applications, edited by R. Ablamowicz and G. Sobczyk, Birkhäuser Boston, 2003, Lecture 4, pp. 93138.
 W. E. Baylis and S. Hadi, “Rotations in n dimensions as spherical vectors”, in Applications of Geometric Algebra in Computer Science and Engineering, , edited by L. Dorst, C. Doran, and J. Lasenby, Birkhäuser Boston, 2002, pp. 79—90.
 W. E. Baylis: “Multiparavector Subspaces of Cln : Theorems and Applications” in Clifford Algebras and their Applications in Mathematical Physics, Vol 1, Algebra and Physics, edited by R. Ablamowicz and B. Fauser, Birkhäuser Boston, 2000, pp. 3—20.
 W. E. Baylis:”Clifford Algebras in Electrical Engineering” in Advances in Geometric Algebra with Applications in Science and Engineering, edited by E. BayroCorrochano and G. Sobczyk, Birkhäuser Boston, 2000, pp. 418—434.
 W. E. Baylis, "Atomic Multipoles", c. 12 in Atomic, Molecular, & Optical Physics Handbook, ed. by G. Drake, AIP Press, Woodbury, NY, 1996, pp. 172176.
 W. E. Baylis and G. W. F. Drake, "Units and Constants", c. 1 in Atomic, Molecular, & Optical Physics Handbook, ed. by G. Drake, AIP Press, Woodbury, NY, 1996, pp. 15.
 W. E. Baylis, "Eigenspinors and Electron Spin", in the Proceedings of the International Conference on the Theory of the Electron  1995, ed. by J. Keller and Z. Oziewicz (UNAM Press, Mexico, 1997), pp. 197213.
 W. E. Baylis, "PauliAlgebra Calculations in Maple V", in Clifford Algebras with Numeric and Symbolic Computations, ed. by R. Ablamowicz, J. Parra, and P. Lounesto (Birkhauser Boston, 1996).
 G. Jones and W. E. Baylis, "CrumeyrolleChevalleyRiesz Spinors and Covariance", in Clifford Algebras and Spinor Structures, edited by R. Ablamowicz and P. Lounesto (Kluwer Academic, 1995), pp. 125132.
 W. E. Baylis and B. Jancewicz, "ClifforValued Functions in Cl3", in Clifford Algebras and Spinor Structures, edited by R. Ablamowicz and P. Lounesto (Kluwer Academic, 1995), pp. 313324.
 W. E. Baylis, "Electrons, Photons, and Spinors in the Pauli Algebra", in Spinors, Twistors, Clifford Algebras and Quantum Deformations, edited by Z. Oziewicz, B. Jancewicz and A. Borowiec (Kluwer Academic, 1993) pp. 97106.
 W.E. Baylis, "Correlation and Relativistic Effects in Atoms and Small Molecules", in Quantum Optics, edited by J. Fiutak and J. Mizerski, pp. 137 (World Scientific, Singapore, 1986).
 W.E. Baylis, "The Theory of Interatomic Potentials for Line Broadening", in Spectral Line Shapes, Vol. 2, Edited by K. Burnett, pp. 40928 (W. de Gruyter, Berlin, 1983).
 W.E. Baylis, "Collisional depolarization in the excited state", Ch. 28 in Progress in Atomic Spectroscopy, edited by W. Hanle and H. Kleinpoppen, Part B, pp. 122797 (Plenum, London, 1979).
 W.E. Baylis, "Interatomic potentials for collisions of excited atoms", Ch. 6 in Progress in Atomic Spectroscopy, edited by W. Hanle and H. Kleinpoppen, Part A, pp. 20761, (Plenum, London, 1978).
Selected Journal Articles
 W. E. Baylis and J. Huschilt, “Energy Balance with the LandauLifshitz Equation”, Phys. Lett. A 301, 712 (2002).
 M. Grigorescu and W. E. Baylis, “Quasiclassical and Statistical Properties of Fermion Systems”, Phys. Rev. B 66, 014530 (2002), 8 pp.
 W. E. Baylis, “Comment on Dirac theory in spacetime algebra”, J. Phys. A: Math. Gen.35, 47914796 (2002).
 M. Hawton and W. E. Baylis: "Photon position operators and localized bases", Phys. Rev. A64, 012101 (2001), 16 pp. eprint at http://arXiv.org/abs/quantph/0101011
 G. Trayling and W. E. Baylis: A geometric basis for the standardmodel gauge group, J. Phys. A. 34, 33093324 (2001).
 J. Bieron and W. E. Baylis: Calculation of the potential energy curves of the HgZn dimer", Molecular Physics 98, 10511055 (2000).
 W. E. Baylis, Review of Geometric Vectors by G. Weinreich, Physics in Canada 55 (No. 5), 308309 (1999).
 W. E. Baylis and Y. Yao, "Relativistic Dynamics of Charges in Electromagnetic Fields: An Eigenspinor Approach", Phys. Rev. A 60, 785795 (1999).
 W. E. Baylis, "Vector Algebra in Physics", Physics in Canada 54 (No. 1), 2430 (1998).
 J. Sienkiewicz and W. E. Baylis: "Relativistic multicongiuration approach to the spin polarization of slow electrons elastically scattered from krypton", Phys. Rev. A 55, 11081112 (1997).
 J. Szudy and W. E. Baylis: "Profiles of Rainbow Satellites and Line Wings Associated with Optical and Radiative Collisions", Phys. Reports, 226, 127228 (1996).
 J. Szudy and W. E. Baylis: "The influence of atomic coherence induced by laserassisted near resonant collisioins on the farwing absorption profile", Phys. Rev. A 53, 25392546 (1996).
 W. E. Baylis and J. E. Sienkiewicz: "Polarization trajectories", J. Phys. B: At. Mol. Opt. Phys. 28, L549553 (1995).
 J. Bieron and W. E. Baylis: "Potential energy curves of HgCd and spectorscopic constants of group IIB metal dimers", Chem. Phys. 197, 129137 (1995).
 W. Kedzierski, Ju Gao, W. E. Baylis, and L. Krause: "Magnetic fielddependence of the cross section for mj mixing in 2P1/2 Cs and Rb atoms", Phys. Rev. A 49, 45404548 (1994).
 W. E. Baylis, J. Bonenfant, J. Derbyshire, and J. Huschilt: "Motion of Charges in crossed and Equal E and B Fields", Am. J. Phys. 62, 899902, 1994).
 W. E. Baylis, J. Bonenfant, J. Derbyshire, and J. Huschilt: "Light Polarization: a Geometric Approach", Am. J. Phys. 61, 534545 (1993).
 E. H. Pinnington and W. E. Baylis: "Comment on 'Relativistic excitation energies and oscillator strengths for the transitions in Hglike ions'", Phys. Rev. A 46, 7325 (1992).
 W. E. Baylis, J. Huschilt, and J. Wei: "Why i?", Am. J. Phys. 60, 78897 (1992).
 J. E. Sienkiewicz and W. E. Baylis: "Differential cross sections for the elastic scattering of electrons from krypton", J. Phys. B 25, 20818 (1992).
 W. E. Baylis: "Classical eigenspinors and the Dirac equation", Phys. Rev. A 45, 42934302 (1992).
 J. Wei and W. E. Baylis: "Monopoles without strings: a conflict between the onephoton condition and duality invariance", Found. Phys. Letters 4, 53756 (1991).
 J. Migdalek and W.E. Baylis: "A Multiconfiguration DiracFock study of the lifetime in singly ionized lanthanum", Phys. Rev. A 43 (1991).
 J.E. Sienkiewicz and W. E. Baylis: "The polarization of electrons elastically scattered from krypton", J. Phys. B 24, 173948 (1991).
 J.E. Sienkiewicz and W. E. Baylis: "Elastic scattering of positrons on mercury: a negativeenergy DiracFock treatment", Phys. Rev. A 43 13315 (1991)
 J. Migdalek and W.E. Baylis: "Relativistic transition probabilities and lifetimes of lowlying levels in ytterbium", J. Phys. B 24, L99102 (1991).
 J.E. Sienkiewicz and W. E. Baylis: "The polarization of electrons elastically scattered from xenon", J. Phys. B 24, 26574 (1991).
 W.E. Baylis and G. Jones, "Pauli algebra approach to special relativity", J. Phys. A: Math. Gen. 22, 116 (1989).
 W.E. Baylis and G. Jones, "Relativistic dynamics of changes in external fields: the Paul algebra approach:, J. Phys. A: Math. Gen. 22 1729 (1989).
 J.E. Sienkiewicz and W.E. Baylis, "Lowenergy elastic e  Xe scattering: the effect of exchange in the polarization potential", J. Phys. B. 22, 373345 (1989).
 W.E. Baylis and G. Jones, "Special relativity with Clifford Algebras and 2x2 matrices, and the exact product of two boosts", J. Math. Phys. 29, 5762 (1988).
 W.E. Baylis, J. Pascale and F. Rossi, "Polarization and electronic excitation of nonreactive collisions: Basic formulation for quantum calculations of collisions between 2Pstate alkalimetal atoms and H2 or D2", Phys. Rev. A 36, 421218 (1987).
 J. Migdalek and W.E. Baylis, "Relativistic oscillator strengths and excitation energies for the ns2 1Po  nsnp 3P1, 1P1 transitions: II. Cadmium isoelectronic sequence", J. Phys. B: Atom Mol. Phys. 19, 116 (1986).
 J. Migdalek and W.E. Baylis, "Relativistic Oscillator Strengths and Excitation Energies for the ns2 1So nsnp 3P1, 1P1 Transitions: I. The Mercury Isoelectronic Sequence", J. Phys. B: At. Mol. Phys. 18, 153347 (1985).
 J. Migdalek and W.E. Baylis, "Relativistic Oscillator Strength fo the 6s2 1So  6s6p 3P1 Transitions in Neutral Mercury: A New Approach to the Correlation Problem", J. Phys. B: At. Mol. Phys. 17, L45964 (1984).
 W.E. Baylis and A.D. Pradhan, "Locating Minima of a Hypersurface: A Modification of the LevenbergMarquardt Method", Comp. Phys. Comm. 31, 297301 (1984).
 W.E. Baylis and S.J. Peel, "Stable Variational Calculations with the Dirac Hamiltonian", Phys. Rev. A. 28, 25524 (1983).
 W.E. Baylis and S.J. Peel, "A Program for the PredictorCorrector Numerov Method", Comp. Phys. Comm. 25, 218 (1982).
 W.E. Baylis and S.J. Peel, "A PredictorCorrector Form of Numerov for Coupled Equations:, Comp. Phys. Comm. 25, 719 (1982).
 W.E. Baylis, "Special Relativity with 2x2 Matrices", Am. J. Phys. 48, 91825 (1980).
 J. Huschilt and W.E. Baylis, "Rutherford scattering with radiation reaction", Phys. Rev. D 17, 98593 (1978).
 W.E. Baylis, "An approximate treatment of intraatomic correlation in HartreeFock calculations: The Hg2(X1+) potentials", J. Phys. B 10, L5837 (1977).
 W.E. Baylis, "Threebody alkali/noble gas interactions and secondary satellites", J. Phys. B 10, L47781 (1977).
 W.E. Baylis and J. Huschilt, "Nonuniqueness of physical solutions to the LorentzDirac equation", Phys. Rev. D. 13, 32379 (1976).
 W.E. Baylis and J. Huschilt, "Numerical solutions to twobody problems in classical electrodynamics: Headon collisions with retarded fields and radiation reaction. II. Attractive case", Phys. Rev. D 13, 32628 (1976).
 J. Huschilt and W.E. Baylis, "Numberical solutions to twobody problems in classical electrodynamics: I. Repulsive case", Phys. Rev. D 13, 325661 (1976).
 J. Szudy and W.E. Baylis, "Unified FranckCondon treatment of pressure broadening of spectral lines", J. Quant. Spectrosc. Radiat. Transfer, 15, 64168 (1975).
 W.E. Baylis, "A semiempirical pseudopotential calculation of alkalinoblegas interatomic potentials", J. Chem. Phys. 51, 266579 (1969).
 W.E. Baylis, W.M. Schmid and E. Luescher, "Comptoneffect calculations for astrophysical applications", Zeitschrift fuer Astrophysik 66, 27191 (1967).
