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Deformations of Mathematical Structures II

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

  • Julian Ławrynowicz
Book

Table of contents

  1. Front Matter
    Pages i-x
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  2. Hurwitz-Type Structures

    1. Front Matter
      Pages 1-1
      PDF
    2. Editors’ Note
      Julian Ławrynowicz, Francesco Succi, Claude Surry, Osamu Suzuki, Leszek Wojtczak
      Pages 3-6

    3. General Theory

      1. Composition of Sums of Squares with Integer Coefficients
        Paul Yiu
        Pages 7-100

    4. Hurwitz-Type Structures Equipped with Additional Geometric and Analytic Structures

      1. Helmholtz Operator with a Quaternionic Wave Number and Associated Function Theory
        V. V. Kravchenko, M. V. Shapiro
        Pages 101-128
      2. Clifford Algebra Derivation of the Characteristic Hypersurfaces of Maxwell’s Equations
        William M. Pezzaglia Jr.
        Pages 129-134
      3. Hermitian Hurwitz Pairs
        Izumi Furuoya, Shôji Kanemaki, Julian Ławrynowicz, Osamu Suzuki
        Pages 135-154
      4. Operator Realisations of Quantum Heisenberg-Weyl and SU(2)q algebras
        Stanisław Malinowski, Jakub Rembieliński, Wacław Tybor, Loucas C. Papaloucas
        Pages 155-160
      5. Some Generalizations of the Jacobi Identity with Applications to the Curvature- and Torsion-Depending Hamiltonians of Physical Systems
        Bozhidar Zakhariev Iliev
        Pages 161-188

    5. Special Hurwitz-Type Structures and the Many-Particle Problem

      1. On Dualities Generated by the Generalised Hurwitz Problem
        Julian Ławrynowicz, R. Michael Porter, Enrique Ramírez de Arellano, Jakub Rembieliński
        Pages 189-208
      2. The Duality Theorem for the Hurwitz Pairs of Bidimension (8,5) and the Penrose Theory
        Julian Ławrynowicz, Osamu Suzuki
        Pages 209-212
      3. Stochastical Mechanics of Particle Systems in Clifford-Analytical Formulation Related to Hurwitz Pairs of Bidimension (8,5)
        Julian Ławrynowicz, Leszek Wojtczak, Shozo Koshi, Osamu Suzuki
        Pages 213-262

  3. Surface-Physics Structures

    1. Front Matter
      Pages 263-263
      PDF

    2. Boundary Conditions: Broken Symmetry and Surafce Decorations

      1. Statistical Mechanics of a Crystal Surface
        Bernard Gaveau, Julian Ławrynowicz, Leszek Wojtczak
        Pages 265-288
      2. A Hurwitz-Pair Approach to the Pre-Melting Problem
        Fray De Landa Castillo Alvarado, Gerardo Contreras Puente, Julian Ławrynowicz, Leszek Wojtczak
        Pages 289-298
      3. On the Existence Conditions for Surface and Subsurface States in Tight-Binding Thin Films
        H. Puszkarski, H. Dreyssé
        Pages 299-306
      4. Spin Wave Resonance Profiles
        Leszek Wojtczak, Helmut Gärtner
        Pages 307-316
      5. Deformation of Physical and Chemical Properties of Solids Caused by the Existence of a Solid Surface
        Ch. Opitz, H. Müller, L. Skala
        Pages 317-325
      6. Spin Polarization Transport in Thin Magnetic Film
        Anna Urbaniak-Kucharczyk
        Pages 327-340

    3. Nonlinear Solutions and Dynamical Properties: A Near-Surface Region

      1. Quasilinear Quantum Field Theory (A Program of Quantization)
        Marek W. Kalinowski
        Pages 341-398
      2. A Study on Torsion Vibrations in Linear Chains
        Luboš Valenta, Jiří Fiala
        Pages 399-404
      3. Etude Mono-Dimensionnelle D’une Barre Vibrante Avec Contacts Unilateraux
        René Redon, Rose-Marie Courtade, Claude Surry
        Pages 405-430
      4. A Generalization of the Landau-Lifschitz Equation Including Non-Magnetic Phenomena
        Luboš Valenta
        Pages 431-433
      5. Chaotic Domain Wall Dynamics and Coherent Spatial Structures in a Magnetic System with Surfaces
        Jan J. Żebrowski, Andrzej Sukiennicki
        Pages 435-460
  4. Back Matter
    Pages 461-464
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About this book

Keywords

deformation surface surface physics

Editors and affiliations

  • Julian Ławrynowicz
    • 1
    • 2
  1. 1.Institute of Mathematics of the Polish Academy of SciencesŁódźPoland
  2. 2.Institute of Physics of the University of ŁódźŁódźPoland

Bibliographic information