Algebras and Their Application in Mathematical Physic Saachen 1996

Aachen 1996

By: Volker Dietrich (Editor), Klaus Habetha (Editor), Gerhard Jank (Editor)

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Hardcover | 1 March 1998

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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.

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Preface
Participants of the 4th Conference on Clifford Algebras
Program of the 4th Conference on Clifford algebras
Dirac Operators and Clifford Geometry - New Unifying Principles in Particle Physics?	p. 1
On the Hayman uniqueness problem for polyharmonic functions	p. 11
Left-linear and Nonlinear Riemann problems in Clifford analysis	p. 17
Spin structures and harmonic spinors on nonhyperelliptic Riemann surfaces of small genera	p. 31
Decomposition of analytic hyperbolically harmonic functions	p. 45
Spin Gauge Theories: A Summary	p. 53
Manifolds with and without embeddings	p. 57
Dirac equation in the Clifford algebra of Space	p. 67
Dirac theory from a field theoretic point of view	p. 89
On some applications of the biharmonic equation	p. 109
Spinor Particle Mechanics	p. 129
Clifford analysis and elliptic boundary value problems in unbounded domains	p. 145
Twistors and Clifford Algebras	p. 161
How Many Essentialy Different Function Theories Exist?	p. 175
Variational Property of the Peano Kernel for Harmonicity Differences of Order [rho]	p. 185
Clifford Analysis on the Sphere	p. 201
Type-changing transformations of pseudo-Euclidean Hurwitz pairs, Clifford Analysis, and particle lifetimes	p. 217
Modified quaternionic analysis in R[superscript 4]	p. 227
Geometric Algebra and Lobachevski Geometry	p. 239
Generalizing the (F, G)- derivative in the sense of Bers	p. 247
Formes quadratiques de Hardy-Weinberg et algebres de Clifford	p. 259
On Dirac equations in curved space-times	p. 267
Some Partial Differential Equations in Clifford Analysis	p. 275
Teaching Clifford Algebra as Physical Mathematics	p. 291
Polydimensional Relativity, a Classical Generalization of the Automorphism Invariance Principle	p. 305
Subluminal and Superluminal Electromagnetic Waves and the Lepton Mass Spectrum	p. 319
Higher Spin and the Spacetime Algebra	p. 347
Curved Radon Transforms in Clifford Analysis	p. 369
On a class of non-linear boundary value problems	p. 383
Pin structures and the Dirac operator on real projective spaces and quadrics	p. 391
Construction of monopoles and instantons by using spinors and the inversion theorem	p. 401
Determinants, Manifolds with Boundary and Dirac Operators	p. 423
New dynamical equations for many particle system on the basis of multicomplex algebra	p. 433
Table of Contents provided by Blackwell. All Rights Reserved.

Algebras and Their Application in Mathematical Physic Saachen 1996

Aachen 1996

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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