Dr. William E Baylis

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Dr. Gordon W. Drake, Chair
Ms. Petrona Parungo, Secretary
Department of Physics
Room 288-3 Essex Hall North
University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone (519) 253-3000 ext. 2647
Fax (519) 973-7075
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; Past-Chair of the Division of Theoretical Physics of the Canadian Association of Physicists; Honorary President, Royal Astronomical Society of Canada-Windsor Branch.
Employee Type: Faculty
Rank/Job Title: Professor

Contact Information:

Office Location: 289-1 Essex Hall
Office Ext.: 2673
Web site: http:// www.uwindsor.ca/baylis-research
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/baylis-research
  • 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 0-8176-4025-8. (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 0-8176-3715-X. 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 1-56396-752-9
  • 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 0-8176-3868-7.
  • 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. 93-138.
  • 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. Bayro-Corrochano 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. 172-176.
  • 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. 1-5.
  • 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. 197-213.
  • W. E. Baylis, "Pauli-Algebra 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, "Crumeyrolle-Chevalley-Riesz Spinors and Covariance", in Clifford Algebras and Spinor Structures, edited by R. Ablamowicz and P. Lounesto (Kluwer Academic, 1995), pp. 125-132.
  • W. E. Baylis and B. Jancewicz, "Cliffor-Valued Functions in Cl3", in Clifford Algebras and Spinor Structures, edited by R. Ablamowicz and P. Lounesto (Kluwer Academic, 1995), pp. 313-324.
  • 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. 97-106.
  • W.E. Baylis, "Correlation and Relativistic Effects in Atoms and Small Molecules", in Quantum Optics, edited by J. Fiutak and J. Mizerski, pp. 1-37 (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. 409-28 (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. 1227-97 (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. 207-61, (Plenum, London, 1978).

Selected Journal Articles
  • W. E. Baylis and J. Huschilt, “Energy Balance with the Landau-Lifshitz Equation”, Phys. Lett. A 301, 7--12 (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, 4791-4796 (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/quant-ph/0101011
  • G. Trayling and W. E. Baylis: A geometric basis for the standard-model gauge group, J. Phys. A. 34, 3309-3324 (2001).
  • J. Bieron and W. E. Baylis: Calculation of the potential energy curves of the HgZn dimer", Molecular Physics 98, 1051-1055 (2000).
  • W. E. Baylis, Review of Geometric Vectors by G. Weinreich, Physics in Canada 55 (No. 5), 308--309 (1999).
  • W. E. Baylis and Y. Yao, "Relativistic Dynamics of Charges in Electromagnetic Fields: An Eigenspinor Approach", Phys. Rev. A 60, 785-795 (1999).
  • W. E. Baylis, "Vector Algebra in Physics", Physics in Canada 54 (No. 1), 24-30 (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, 1108-1112 (1997).
  • J. Szudy and W. E. Baylis: "Profiles of Rainbow Satellites and Line Wings Associated with Optical and Radiative Collisions", Phys. Reports, 226, 127-228 (1996).
  • J. Szudy and W. E. Baylis: "The influence of atomic coherence induced by laser-assisted near resonant collisioins on the far-wing absorption profile", Phys. Rev. A 53, 2539-2546 (1996).
  • W. E. Baylis and J. E. Sienkiewicz: "Polarization trajectories", J. Phys. B: At. Mol. Opt. Phys. 28, L549-553 (1995).
  • J. Bieron and W. E. Baylis: "Potential energy curves of HgCd and spectorscopic constants of group IIB metal dimers", Chem. Phys. 197, 129-137 (1995).
  • W. Kedzierski, Ju Gao, W. E. Baylis, and L. Krause: "Magnetic field-dependence of the cross section for mj mixing in 2P1/2 Cs and Rb atoms", Phys. Rev. A 49, 4540-4548 (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, 899-902, 1994).
  • W. E. Baylis, J. Bonenfant, J. Derbyshire, and J. Huschilt: "Light Polarization: a Geometric Approach", Am. J. Phys. 61, 534-545 (1993).
  • E. H. Pinnington and W. E. Baylis: "Comment on 'Relativistic excitation energies and oscillator strengths for the transitions in Hg-like ions'", Phys. Rev. A 46, 7325 (1992).
  • W. E. Baylis, J. Huschilt, and J. Wei: "Why i?", Am. J. Phys. 60, 788-97 (1992).
  • J. E. Sienkiewicz and W. E. Baylis: "Differential cross sections for the elastic scattering of electrons from krypton", J. Phys. B 25, 2081-8 (1992).
  • W. E. Baylis: "Classical eigenspinors and the Dirac equation", Phys. Rev. A 45, 4293-4302 (1992).
  • J. Wei and W. E. Baylis: "Monopoles without strings: a conflict between the one-photon condition and duality invariance", Found. Phys. Letters 4, 537-56 (1991).
  • J. Migdalek and W.E. Baylis: "A Multiconfiguration Dirac-Fock 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, 1739-48 (1991).
  • J.E. Sienkiewicz and W. E. Baylis: "Elastic scattering of positrons on mercury: a negative-energy Dirac-Fock treatment", Phys. Rev. A 43 1331-5 (1991)
  • J. Migdalek and W.E. Baylis: "Relativistic transition probabilities and lifetimes of low-lying levels in ytterbium", J. Phys. B 24, L99-102 (1991).
  • J.E. Sienkiewicz and W. E. Baylis: "The polarization of electrons elastically scattered from xenon", J. Phys. B 24, 265-74 (1991).
  • W.E. Baylis and G. Jones, "Pauli algebra approach to special relativity", J. Phys. A: Math. Gen. 22, 1-16 (1989).
  • W.E. Baylis and G. Jones, "Relativistic dynamics of changes in external fields: the Paul algebra approach:, J. Phys. A: Math. Gen. 22 17-29 (1989).
  • J.E. Sienkiewicz and W.E. Baylis, "Low-energy elastic e- - Xe scattering: the effect of exchange in the polarization potential", J. Phys. B. 22, 3733-45 (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, 57-62 (1988).
  • W.E. Baylis, J. Pascale and F. Rossi, "Polarization and electronic excitation of nonreactive collisions: Basic formulation for quantum calculations of collisions between 2P-state alkali-metal atoms and H2 or D2", Phys. Rev. A 36, 4212-18 (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, 1-16 (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, 1533-47 (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, L459-64 (1984).
  • W.E. Baylis and A.D. Pradhan, "Locating Minima of a Hypersurface: A Modification of the Levenberg-Marquardt Method", Comp. Phys. Comm. 31, 297-301 (1984).
  • W.E. Baylis and S.J. Peel, "Stable Variational Calculations with the Dirac Hamiltonian", Phys. Rev. A. 28, 2552-4 (1983).
  • W.E. Baylis and S.J. Peel, "A Program for the Predictor-Corrector Numerov Method", Comp. Phys. Comm. 25, 21-8 (1982).
  • W.E. Baylis and S.J. Peel, "A Predictor-Corrector Form of Numerov for Coupled Equations:, Comp. Phys. Comm. 25, 7-19 (1982).
  • W.E. Baylis, "Special Relativity with 2x2 Matrices", Am. J. Phys. 48, 918-25 (1980).
  • J. Huschilt and W.E. Baylis, "Rutherford scattering with radiation reaction", Phys. Rev. D 17, 985-93 (1978).
  • W.E. Baylis, "An approximate treatment of intra-atomic correlation in Hartree-Fock calculations: The Hg2(X1+) potentials", J. Phys. B 10, L583-7 (1977).
  • W.E. Baylis, "Three-body alkali/noble gas interactions and secondary satellites", J. Phys. B 10, L477-81 (1977).
  • W.E. Baylis and J. Huschilt, "Nonuniqueness of physical solutions to the Lorentz-Dirac equation", Phys. Rev. D. 13, 3237-9 (1976).
  • W.E. Baylis and J. Huschilt, "Numerical solutions to two-body problems in classical electrodynamics: Head-on collisions with retarded fields and radiation reaction. II. Attractive case", Phys. Rev. D 13, 3262-8 (1976).
  • J. Huschilt and W.E. Baylis, "Numberical solutions to two-body problems in classical electrodynamics: I. Repulsive case", Phys. Rev. D 13, 3256-61 (1976).
  • J. Szudy and W.E. Baylis, "Unified Franck-Condon treatment of pressure broadening of spectral lines", J. Quant. Spectrosc. Radiat. Transfer, 15, 641-68 (1975).
  • W.E. Baylis, "A semi-empirical pseudopotential calculation of alkali-noble-gas interatomic potentials", J. Chem. Phys. 51, 2665-79 (1969).
  • W.E. Baylis, W.M. Schmid and E. Luescher, "Compton-effect calculations for astrophysical applications", Zeitschrift fuer Astrophysik 66, 271-91 (1967).



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