Overview

This volume contains the papers presented at the Third Conference on Clifford algebras and their applications in mathematical physics, held at Deinze, Belgium, in May 1993. The various contributions cover algebraic and geometric aspects of Clifford algebras, advances in Clifford analysis, and applications in classical mechanics, mathematical physics and physical modelling. This volume will be of interest to mathematicians and theoretical physicists interested in Clifford algebra and its applications.

Full Product Details

Author:   F. Brackx ,  R. Delanghe ,  H. Serras
Publisher:   Springer
Imprint:   Springer
Edition:   1993 ed.
Volume:   55
Dimensions:   Width: 16.00cm , Height: 2.50cm , Length: 24.00cm
Weight:   0.776kg
ISBN:  

9780792323471

ISBN 10:   0792323475
Pages:   411
Publication Date:   31 October 1993
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

CLIFFORD ALGEBRAS and APPLICATIONS.- Quantum Clifford algebras.- Relations between Witt rings and Brauer groups.- Clifford algebra tables.- Finite geometry and the table of real Clifford algebras.- Jordan form in Clifford algebra.- CLIFFORD ANALYSIS: Local and global theory for Dirac—type operators.- Elliptic boundary value problems in unbounded domains.- Dirac operators and manifolds with boundary.- Spin structures and harmonic spinors on Riemann surfaces.- Spherical geometry and Möbius transformations.- Cauchy transforms and bi—axial monogenic power functions.- Note on the use of spherical vectorfields in Clifford analysis.- Quaternionic analysis and transmission problems.- C*—algebras of nonlocal quaternionic convolution type operators.- On the solutions of $$ {D^N}{\text{ }}{\hat D^M}{\text{ }}F = 0$$.- Biregular quaternionic functions.- Monogenic and holomorphic functions.- Hypercomplex differentiability and its applications.- Clifford algebras and boundary estimates for harmonic functions.- Regularity of functions with values in Clifford algebra based on a generalized axially symmetric potential theory operator.- On the analogue of the $$ \bar \partial$$ —problem in quaternionic analysis.- Hurwitz pairs and Clifford algebra representations.- On the Bergmann kernel function in the Clifford analysis.- SO(M)—invariant operators on Clifford tensors.- Invariant differential operators on polynomial—valued functions.- A distributional approach to vector manifolds.- Clifford analysis for higher spins.- Quaternionic operator calculus and domain perturbation problems.- Classical Mechanics.- A hamiltonian model of dissipation with Clifford algebraic generalizations.- A formulation of hamiltonian mechanics using geometric calculus.- Mathematical Physics.- Localautomorphism invariance: a generalization of general relativity.- Differential forms in geometric calculus.- Clifford valued convolution operator algebras on the Heisenberg group.- Classical solutions of the Dirac equation: bound Coulomb states in Aharonov-Bohm and Zeeman fields.- Geometric algebra versus numerical cartesianism.- Classification of multivector theories and the modification of the postulates of physics.- The “ideal” approach to spinors reconsidered.- Geometric aspects of spinors.- A basis for double solution theory.- Spatial inversion and spinors.- Physical Models.- Non abelian gauge fields in the real Clifford algebra of space time.- Spin gauge theories: principles and predictions.- Gravity as a gauge theory in the spacetime algebra.- Cosmological consequences of a flat—space theory of gravity.- Zitterbewegung and electron structure.- Separation of the Dirac equation and positive definiteness of quantum numbers.

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