Ebook: Deformations of Mathematical Structures II: Hurwitz-Type Structures and Applications to Surface Physics. Selected Papers from the Seminar on Deformations, Łódź-Malinka, 1988/92

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 of this volume 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.
For mathematicians and mathematical physicists interested in the applications of mathematical structures.

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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 of this volume 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.
For mathematicians and mathematical physicists interested in the applications of mathematical structures.

Content:
Front Matter....Pages i-x
Front Matter....Pages 1-1
Editors’ Note....Pages 3-6
Composition of Sums of Squares with Integer Coefficients....Pages 7-100
Helmholtz Operator with a Quaternionic Wave Number and Associated Function Theory....Pages 101-128
Clifford Algebra Derivation of the Characteristic Hypersurfaces of Maxwell’s Equations....Pages 129-134
Hermitian Hurwitz Pairs....Pages 135-154
Some Generalizations of the Jacobi Identity with Applications to the Curvature- and Torsion-Depending Hamiltonians of Physical Systems....Pages 155-160
On Dualities Generated by the Generalised Hurwitz Problem....Pages 161-188
The Duality Theorem for the Hurwitz Pairs of Bidimension (8,5) and the Penrose Theory....Pages 189-208
Stochastical Mechanics of Particle Systems in Clifford-Analytical Formulation Related to Hurwitz Pairs of Bidimension (8,5)....Pages 209-212
Front Matter....Pages 213-262
Statistical Mechanics of a Crystal Surface....Pages 263-263
A Hurwitz-Pair Approach to the Pre-Melting Problem....Pages 265-288
On the Existence Conditions for Surface and Subsurface States in Tight-Binding Thin Films....Pages 289-298
Spin Wave Resonance Profiles....Pages 299-306
Deformation of Physical and Chemical Properties of Solids Caused by the Existence of a Solid Surface....Pages 307-316
Spin Polarization Transport in Thin Magnetic Film....Pages 317-325
Quasilinear Quantum Field Theory (A Program of Quantization)....Pages 327-340
A Study on Torsion Vibrations in Linear Chains....Pages 341-398
Etude Mono-Dimensionnelle D’une Barre Vibrante Avec Contacts Unilateraux....Pages 399-404
A Generalization of the Landau-Lifschitz Equation Including Non-Magnetic Phenomena....Pages 405-430
Back Matter....Pages 431-433
Chaotic Domain Wall Dynamics and Coherent Spatial Structures in a Magnetic System with Surfaces....Pages 461-464
....Pages 435-460