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© 1983

Mathematical Scattering Theory

Book

Part of the Operator Theory: Advances and Applications book series (OT, volume 9)

Table of contents

  1. Front Matter
    Pages 1-18
  2. Introduction

    1. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 19-24
  3. Selfadjoint Operators in Hilbert Spaces

    1. Front Matter
      Pages 25-25
    2. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 26-40
    3. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 41-44
    4. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 45-66
    5. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 67-79
    6. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 80-93
  4. Algebras of Asymptotic Constants

    1. Front Matter
      Pages 95-96
    2. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 97-125
    3. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 126-148
    4. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 149-167
  5. Two-Space Wave Operators and Scattering Operators

    1. Front Matter
      Pages 169-169
    2. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 170-194
    3. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 195-232
    4. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 233-249
    5. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 250-263
    6. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 264-291
  6. Existence and Completeness of Wave Operators

    1. Front Matter
      Pages 299-300
    2. Hellmut Baumgärtel, Manfred Wollenberg
      Pages 301-321

About this book

Introduction

The aim of this book is to give a systematic and self-contained presentation of the Mathematical Scattering Theory within the framework of operator theory in Hilbert space. The term Mathematical Scattering Theory denotes that theory which is on the one hand the common mathematical foundation of several physical scattering theories (scattering of quantum objects, of classical waves and particles) and on the other hand a branch of operator theory devoted to the study of the behavior of the continuous part of perturbed operators (some authors also use the term Abstract Scattering Theory). EBBential contributions to the development of this theory are due to K. FRIEDRICHS, J. CooK, T. KATo, J. M. JAuCH, S. T. KURODA, M.S. BmMAN, M.G. KREiN, L. D. FAD­ DEEV, R. LAVINE, W. 0. AMREIN, B. SIMoN, D. PEARSON, V. ENss, and others. It seems to the authors that the theory has now reached a sufficiently developed state that a self-contained presentation of the topic is justified.

Keywords

behavior development framework Hilbert space Mathematica object operator operator theory presentation scattering theory Simon

Authors and affiliations

  1. 1.Institut für MathematikAkademie der Wissenschaften der DDRDeutschland

Bibliographic information

  • Book Title Mathematical Scattering Theory
  • Authors Baumgärtel
    Wollenberg
  • Series Title Operator Theory: Advances and Applications
  • DOI https://doi.org/10.1007/978-3-0348-5440-5
  • Copyright Information Birkhäuser Basel 1983
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-1519-1
  • Softcover ISBN 978-3-0348-5442-9
  • eBook ISBN 978-3-0348-5440-5
  • Series ISSN 0255-0156
  • Series E-ISSN 2296-4878
  • Edition Number 1
  • Number of Pages , 449
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Science, Humanities and Social Sciences, multidisciplinary
  • Buy this book on publisher's site