© 1988

Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics

  • A. Amann
  • L. S. Cederbaum
  • W. Gans

Part of the NATO ASI Series book series (ASIC, volume 235)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. G. Zumofen, A. Blumen, J. Klafter
    Pages 1-20
  3. A. Blumen, G. Zumofen, J. Klafter
    Pages 21-52
  4. A. Janner
    Pages 93-109
  5. D. Gratias, J. W. Cahn, M. Bessiere, Y. Calvayrac, S. Lefebvre, A. Quivy et al.
    Pages 111-119
  6. Veit Elser
    Pages 121-138
  7. L. S. Cederbaum, Th. Zimmermann, H. Köppel, H.-D. Meyer
    Pages 159-173
  8. Stavros C. Farantos, Jonathan Tennyson
    Pages 195-206
  9. D. W. Sumners
    Pages 221-232
  10. P. de la Harpe
    Pages 233-263

About this book


At the end of the workshop on "New Theoretical Concepts in Physical Chemistry", one of the participants made an attempt to present a first impression of its achievements from his own personal standpoint. Appar­ ently his views reflected a general feeling, so that the organizers thought they would be suitable as a presentation of the proceedings for future readers. That is the background from which this foreword was born. The scope of the workshop is a very broad one. There are contribu­ tions from mathematics, physics, crystallography, chemistry and biology; the problems are approached either by means of axiomatic and rigorous methods, or at an empirical phenomenological level. This same diversifi­ cation can be found in the new basic concepts presented. Some arise from pure theoretical investigation in C*-algebra or in quantum probability theory; others from an analysis of very complex experimental data like nuclear energy levels, or processes on the frontier between classical and quantum physics; others again have their origin in the discovery of new ordered structures like the icosahedral crystal phases, or the knots of DNA molecules; others follow from the application of ideas like frac­ tals or chaos to new fields like spectral theory or chemical reactions. It is to be expected that readers will have to face the same sort of difficulties as did the participants in understanding such diverse languages, in applying themselves to subjects possibly far from their own experience, and in grasping highly sophisticated new concepts.


DNA chaos chemical reaction chemistry crystallography enzymes kinetics physical chemistry quantum mechanics quantum physics structure

Editors and affiliations

  • A. Amann
    • 1
  • L. S. Cederbaum
    • 2
  • W. Gans
    • 3
  1. 1.Laboratory of Physical ChemistryETH-ZentrumZürichSwitzerland
  2. 2.Physical Chemistry InstituteUniversity of HeidelbergHeidelbergGermany
  3. 3.Institute of Physical Chemistry, Institut für QuantenchemieFreie Universitat BerlinBerlin 45Germany

Bibliographic information

  • Book Title Fractals, Quasicrystals, Chaos, Knots and Algebraic Quantum Mechanics
  • Editors Anton Amann
    L. Cederbaum
    Werner Gans
  • Series Title NATO ASI Series
  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1988
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-90-277-2750-3
  • Softcover ISBN 978-94-010-7850-4
  • eBook ISBN 978-94-009-3005-6
  • Series ISSN 1389-2185
  • Edition Number 1
  • Number of Pages , 346
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Physical Chemistry
    Quantum Physics
    Biochemistry, general
  • Buy this book on publisher's site


`The present book might be appealing to theoretical chemists because the interesting mixture of mathematics, physics and chemistry is rather stimulating and it presents problems, concepts andd results which do not belong to the standard knowledge of theoretical chemists yet.'
T. Hoffmann-Odrmhof and P. Schuster, Theoretica Chimica Acta, Vol. 76, 1989.