GRMS or Graphical Representation of Model Spaces

Vol. 1 Basics

  • W. Duch

Part of the Lecture Notes in Chemistry book series (LNC, volume 42)

Table of contents

  1. Front Matter
    Pages N2-V
  2. Preface

    1. W. Duch
      Pages 1-3
  3. Introduction

    1. W. Duch
      Pages 4-9
  4. Architecture of Model Spaces

    1. Front Matter
      Pages 10-10
    2. W. Duch
      Pages 14-17
    3. W. Duch
      Pages 29-36
    4. W. Duch
      Pages 37-43
    5. W. Duch
      Pages 44-51
    6. W. Duch
      Pages 52-56
    7. W. Duch
      Pages 57-63
    8. W. Duch
      Pages 64-66
    9. W. Duch
      Pages 67-73
    10. W. Duch
      Pages 80-89
    11. W. Duch
      Pages 90-95
    12. W. Duch
      Pages 96-97
    13. W. Duch
      Pages 98-100
  5. Matrix Elements and Graphs

    1. Front Matter
      Pages 101-101
    2. W. Duch
      Pages 102-102
    3. W. Duch
      Pages 103-110
    4. W. Duch
      Pages 111-116
    5. W. Duch
      Pages 136-139
  6. Back Matter
    Pages 179-191

About this book


The purpose of these notes is to give some simple tools and pictures to physicists and ' chemists working on the many-body problem. Abstract thinking and seeing have much in common - we say "I see" meaning "I understand" , for example. Most of us prefer to have a picture of an abstract object. The remarkable popularity of the Feynman diagrams, and other diagrammatic approaches to many-body problem derived thereof, may be partially due to this preference. Yet, paradoxically, the concept of a linear space, as fundamental to quantum physics as it is, has never been cast in a graphical form. We know that is a high-order contribution to a two-particle scattering process (this one invented by Cvitanovic(1984)) corresponding to a complicated matrix element. The lines in such diagrams are labeled by indices of single-particle states. When things get complicated at this level it should be good to take a global view from the perspective of the whole many-particle space. But how to visualize the space of all many-particle states ? Methods of such visualization or graphical representation of the ,spaces of interest to physicists and chemists are the main topic of this work.


RMS classification element many-body problem mechanics mutation physics quantum mechanics quantum physics quantum theory scattering spin symmetry

Authors and affiliations

  • W. Duch
    • 1
    • 2
  1. 1.Max-Planck-Institut für Physik und AstrophysikGarching bei MünchenDeutschland
  2. 2.Instytut FizykiUMKToruńPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-17169-0
  • Online ISBN 978-3-642-93347-9
  • Series Print ISSN 0342-4901
  • Series Online ISSN 2192-6603
  • Buy this book on publisher's site
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