Overview

This volume presents a collection of papers on geometric structures in the context of Hurwitz-type structures and applications to surface physics. The first part concentrates on the analysis of geometric structures. Topics covered are: Clifford structures, Hurwitz pair structures, Riemannian or Hermitian manifolds, Dirac and Breit operators, Penrose-type and Kaluza-Klein-type structures. The second part contains a study of surface physics structures, in particular boundary conditions, broken symmetry and surface decorations, as well as nonlinear solutions and dynamical properties: a near surface region. The work should be useful for mathematicians and mathematical physicists interested in the applications of mathematical structures.

Full Product Details

Author:   Julian Lawrynowicz
Publisher:   Springer
Imprint:   Springer
Edition:   1994 ed.
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.870kg
ISBN:  

9780792325765

ISBN 10:   0792325761
Pages:   464
Publication Date:   31 December 1993
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I. Hurwitz-Type Structures.- General Theory.- Editors’ note.- Composition of sums of squares with integer coefficients.- Hurwitz-Type Structures Equipped With Additional Geometric and Analytic Structures.- Helmholtz operator with a quaternionic wave number and the associated function theory.- Clifford algebra derivation of the characteristic hypersurfaces of Maxwell’s equations.- Hermitian Hurwitz pairs.- Operator realizations of quantum Heisenberg-Weyl and SU(2)q algebras.- Some generalizations of the Jacobi identity with application to the curvature- and torsion-dependent hamiltonians of physical systems.- Special Hurwitz-Type Structures and the Many-Particle Problem.- On dualities generated by the generalised Hurwitz problem.- The duality theorem for the Hurwitz pairs of bidimension (8,5) and the Penrose theory.- Stochastical mechanics of particle systems in Clifford-analytical formulation related to Hurwitz pairs of bidimension (8,5).- II. Surface Physics Structures.- Boundary Conditions: Broken Symmetry and Surafce Decorations.- Statistical mechanics of a crystal surface.- A Hurwitz-pair approach to the pre-melting problem.- On the existence conditions for surface states in tight-binding thin films.- Spin wave resonance profiles.- Deformation of physical and chemical properties of solids caused by the existence of a solid surface.- Spin polarization transport in thin magnetic film.- Nonlinear Solutions and Dynamical Properties: A Near-Surface Region.- Quasilinear quantum field theory (a program of quantization).- A study on torsion vibrations in linear chains.- Etude monodimensionnelle d’sune barre vibrante avec contants unilateraux.- A generalization of the Landau-Lifschitz equation including non-magnetic phenomena.- Chaotic domain wall dynamics and coherentspatial structures in a magnetic system with surfaces.

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