Physics in One Dimension

Proceedings of an International Conference Fribourg, Switzerland, August 25–29, 1980

  • Jakob Bernasconi
  • Toni Schneider

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 23)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Introductory Lecture

    1. Front Matter
      Pages 1-1
  3. Solitons

    1. Front Matter
      Pages 11-11
    2. David W. McLaughlin
      Pages 13-26
    3. Alan R. Bishop
      Pages 27-46
    4. Kazumi Maki
      Pages 63-74
    5. M. Büttiker, R. Landauer
      Pages 87-99
  4. Magnetic Chains

    1. Front Matter
      Pages 113-113
    2. Jill C. Bonner, H. W. J. Blöte, Hans Beck, Gerhard Müller
      Pages 115-128
    3. Stephen W. Lovesey
      Pages 129-139
    4. J. M. Loveluck, T. Schneider, E. Stoll, H. R. Jauslin
      Pages 157-160
    5. L. P. Regnault, J. P. Boucher, J. Rossat-Mignod, J. P. Renard, J. Bouillot, W. G. Stirling
      Pages 161-164

About these proceedings

Introduction

In 1966, E.H. Lieb and D.C. r1attis published a book on "Mathematical Physics in One Dimension" [Academic Press, New York and London] which is much more than just a collection of reprints and which in fact marked the beginnings of the rapidly growing interest in one-dimensional problems and materials in the 1970's. In their Foreword, Lieb and r~attis made the observation that " ... there now exists a vast literature on this subject, albeit one which is not indexed under the topic "one dimension" in standard indexing journals and which is therefore hard to research ... ". Today, the situation is even worse, and we hope that these Proceedings will be a valuable guide to some of the main current areas of one-dimensional physics. From a theoretical point of view, one-dimensional problems have always been very attractive. Many non-trivial models are soluble in one dimension, while they are only approximately understood in three dimensions. Therefore, the corresponding exact solutions serve as a useful test of approximate ma­ thematical methods, and certain features of the one-dimensional solution re­ main relevant in higher dimensions. On the other hand, many important phe­ nomena are strongly enhanced, and many concepts show up especially clearly in one-dimensional or quasi -one-dimensional systems. Among them are the ef­ fects of fluctuations, of randomness, and of nonlinearity; a number of in­ teresting consequences are specific to one dimension.

Keywords

Dimension Linearer Leiter Magnetische Ordnung Physics Soliton diffusion dynamics lattice dynamics mathematical physics mechanics neutron diffraction polymer scattering

Editors and affiliations

  • Jakob Bernasconi
    • 1
  • Toni Schneider
    • 2
  1. 1.Brown Boveri Research CenterBaden-DättwilSwitzerland
  2. 2.IBM Research CenterRüschlikonSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-81592-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1981
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-81594-2
  • Online ISBN 978-3-642-81592-8
  • Series Print ISSN 0171-1873
  • About this book
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