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Clifford Algebras and their Applications in Mathematical Physics

Proceedings of the Third Conference held at Deinze, Belgium, 1993
BuchKartoniert, Paperback
411 Seiten
Englisch
Springer Netherlandserschienen am23.08.2014Softcover reprint of the original 1st ed. 1993
This International Conference on Clifford AlgebrfU and Their Application, in Math­ ematical Phy,ic, is the third in a series of conferences on this theme, which started at the Univer,ity of Kent in Canterbury in 1985 and was continued at the Univer,iU de, Science, et Technique, du Languedoc in Montpellier in 1989.mehr
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Produkt

KlappentextThis International Conference on Clifford AlgebrfU and Their Application, in Math­ ematical Phy,ic, is the third in a series of conferences on this theme, which started at the Univer,ity of Kent in Canterbury in 1985 and was continued at the Univer,iU de, Science, et Technique, du Languedoc in Montpellier in 1989.
Details
ISBN/GTIN978-94-010-4886-6
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2014
Erscheinungsdatum23.08.2014
AuflageSoftcover reprint of the original 1st ed. 1993
ReiheFundamental Theories of Physics
Seiten411 Seiten
SpracheEnglisch
IllustrationenXII, 411 p. 2 illus.
Artikel-Nr.32592229

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr