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Clifford Algebras and Their Application in Mathematical Physics

Aachen 1996

  • Book
  • © 1998

Overview

Editors:
  1. Volker Dietrich

    1. Department of Mathematics, Rheinisch-Westfälischen Technischen Hochschule, Aachen, Germany

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  2. Klaus Habetha

    1. Department of Mathematics, Rheinisch-Westfälischen Technischen Hochschule, Aachen, Germany

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  3. Gerhard Jank

    1. Department of Mathematics, Rheinisch-Westfälischen Technischen Hochschule, Aachen, Germany

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Part of the book series: Fundamental Theories of Physics (FTPH, volume 94)

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xxxii
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  2. Dirac Operators and Clifford Geometry — New Unifying Principles in Particle Physics?

    • Thomas Ackermann
    Pages 1-10

  3. On the Hayman Uniqueness Problem for Polyharmonic Functions

    • M. B. Balk, M. Ya. Mazalov
    Pages 11-16

  4. Left-Linear and Nonlinear Riemann Problems in Clifford Analysis

    • Swanhild Bernstein
    Pages 17-30

  5. Spin Structures and Harmonic Spinors on Nonhyperelliptic Riemann Surfaces of Small Genera

    • Jarolím Bureš
    Pages 31-43

  6. Decomposition of Analytic Hyperbolically Harmonic Functions

    • P. Cerejeiras
    Pages 45-51

  7. Spin Gauge Theories: A Summary

    • J. S. R. Chisholm, R. S. Farwell
    Pages 53-56

  8. Manifolds with and without Embeddings

    • J. Cnops
    Pages 57-65

  9. Dirac Equation in the Clifford Algebra of Space

    • Claude Daviau
    Pages 67-87

  10. Dirac Theory from a Field Theoretic Point of View

    • Bertfried Fauser
    Pages 89-107

  11. On Some Applications of the Biharmonic Equation

    • K. Gürlebeck
    Pages 109-128

  12. Spinor Particle Mechanics

    • David Hestenes
    Pages 129-143

  13. Clifford Analysis and Elliptic Boundary Value Problems in Unbounded Domains

    • Uwe Kähler
    Pages 145-160

  14. Twistors and Clifford Algebras

    • Jaime Keller
    Pages 161-173

  15. How Many Essentialy Different Function Theories Exist?

    • Vladimir V. Kisil
    Pages 175-184

  16. Variational Property of the Peano Kernel for Harmonicity Differences of Order p

    • Werner Haussmann, Ognyan I. Kounchev
    Pages 185-199

  17. Clifford Analysis on the Sphere

    • P. Van Lancker
    Pages 201-215

  18. Type-Changing Transformations of Pseudo-Euclidean Hurwitz Pairs, Clifford Analysis, and Particle Lifetimes

    • Julian Lawrynowicz
    Pages 217-226

  19. Modified Quaternionic Analysis in ℝ 4

    • Thomas Hempfling, Heinz Leutwiler
    Pages 227-237

  20. Geometric Algebra and Lobachevski Geometry

    • Li Hongbo
    Pages 239-245
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Keywords

About this book

Clifford Algebras continues to be a fast-growing discipline, with ever-increasing applications in many scientific fields. This volume contains the lectures given at the Fourth Conference on Clifford Algebras and their Applications in Mathematical Physics, held at RWTH Aachen in May 1996. The papers represent an excellent survey of the newest developments around Clifford Analysis and its applications to theoretical physics.
Audience: This book should appeal to physicists and mathematicians working in areas involving functions of complex variables, associative rings and algebras, integral transforms, operational calculus, partial differential equations, and the mathematics of physics.

Editors and Affiliations

  • Department of Mathematics, Rheinisch-Westfälischen Technischen Hochschule, Aachen, Germany

    Volker Dietrich, Klaus Habetha, Gerhard Jank

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