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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

  • Book
  • © 1994

Overview

Editors:
  1. Julian Ławrynowicz

    1. Institute of Mathematics of the Polish Academy of Sciences, Łódź, Poland
      Institute of Physics of the University of Łódź, Łódź, Poland

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-x
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  2. Hurwitz-Type Structures

    1. Front Matter

      Pages 1-1
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    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 <i>SU</i>(2)<sub> <i>q</i> </sub> 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
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    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
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Keywords

Editors and Affiliations

  • Institute of Mathematics of the Polish Academy of Sciences, Łódź, Poland

    Julian Ławrynowicz

  • Institute of Physics of the University of Łódź, Łódź, Poland

    Julian Ławrynowicz

Bibliographic Information

  • Book Title: Deformations of Mathematical Structures II

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

  • Editors: Julian Ławrynowicz

  • DOI: https://doi.org/10.1007/978-94-011-1896-5

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1994

  • Hardcover ISBN: 978-0-7923-2576-5Published: 31 December 1993

  • Softcover ISBN: 978-94-010-4838-5Published: 09 October 2012

  • eBook ISBN: 978-94-011-1896-5Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: X, 464

  • Topics: Algebraic Geometry, Several Complex Variables and Analytic Spaces, Surfaces and Interfaces, Thin Films, Condensed Matter Physics, Quantum Physics

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