Groups, Systems and Many-Body Physics

  • Peter Kramer
  • Mario Dal Cin

Part of the Vieweg Tracts in Pure and Applied Physics book series (VTPAP, volume 4)

Table of contents

About this book

Introduction

The authors of the present book share the view that groups and semigroups playa funda­ mental role in the structure of the complex systems which they are studying. A serious effort was made to implement this point of view by presenting the fundamental concepts pertaining to groups and semigroups before going into the various fields of application. The first two chapters are written in this spirit. The following seven chapters deal with groups in relation to specific systems and lead from basic notions to high-level applications. The systems under study are in all cases characterized by a high degree of complexity as found in the physics of many degrees of freedom and in the theory of automata and systems. In 1977 the authors from the University of Tiibingen (M. Dal Cin, G. John, P. Kramer, A. Rieckers, K. Scheerer and H. Stumpf) organized an International Summer School on Groups and Many-Body Physics. The lectures presented at this School dealt specifically with this interplay of groups and complex systems. The contributions of this book cover the fields which were treated in a condensed form at the Summer School.

Keywords

dynamical systems ergodic theory field theory geometry mechanics quantization quantum theory statistical mechanics topology wave equation

Editors and affiliations

  • Peter Kramer
    • 1
  • Mario Dal Cin
    • 2
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenGermany
  2. 2.Institut für InformationsverarbeitungUniversität TübingenTübingenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-663-06825-9
  • Copyright Information Springer Fachmedien Wiesbaden GmbH 1980
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-528-08444-8
  • Online ISBN 978-3-663-06825-9
  • About this book
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