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GRMS or Graphical Representation of Model Spaces

Vol. 1 Basics

  • Book
  • © 1986

Overview

Authors:
  1. W. Duch

    1. Max-Planck-Institut für Physik und Astrophysik, Garching bei München, Deutschland
      Instytut Fizyki, UMK, Toruń, Poland

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (24 chapters)

  1. Front Matter

    Pages N2-V
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  2. Preface

    1. Preface

      • W. Duch
      Pages 1-3

  3. Introduction

    1. Introduction

      • W. Duch
      Pages 4-9

  4. Architecture of Model Spaces

    1. Front Matter

      Pages 10-10
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    2. Introducing graphical representation

      • W. Duch
      Pages 11-13

    3. Labeling and ordering the paths

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      Pages 14-17

    4. Ŝz—adapted graphs in different forms

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      Pages 18-28

    5. L̂z—adapted graphs

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      Pages 29-36

    6. (L̂z,Ŝz)—adapted graphs

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      Pages 37-43

    7. Ŝ2—adapted graphs

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      Pages 44-51

    8. (L̂z,Ŝ2)—adapted graphs

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      Pages 52-56

    9. (L̂2,Ŝ2)—adapted graphs

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      Pages 57-63

    10. (Ĵ2,T̂2)—adapted graphs

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      Pages 64-66

    11. Spatial symmetry in the graph

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      Pages 67-73

    12. Visualization of restricted model spaces

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      Pages 74-79

    13. Physical intuitions and graphs

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      Pages 80-89

    14. Mathematical remarks

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      Pages 90-95

    15. Graphs and computers

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      Pages 96-97

    16. Summary and open problems

      • W. Duch
      Pages 98-100

  5. Matrix Elements and Graphs

    1. Front Matter

      Pages 101-101
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Keywords

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.

Authors and Affiliations

  • Max-Planck-Institut für Physik und Astrophysik, Garching bei München, Deutschland

    W. Duch

  • Instytut Fizyki, UMK, Toruń, Poland

    W. Duch

Bibliographic Information

  • Book Title: GRMS or Graphical Representation of Model Spaces

  • Book Subtitle: Vol. 1 Basics

  • Authors: W. Duch

  • Series Title: Lecture Notes in Chemistry

  • DOI: https://doi.org/10.1007/978-3-642-93347-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-17169-0Published: 01 November 1986

  • eBook ISBN: 978-3-642-93347-9Published: 06 December 2012

  • Series ISSN: 0342-4901

  • Series E-ISSN: 2192-6603

  • Edition Number: 1

  • Number of Pages: V, 189

  • Topics: Theoretical and Computational Chemistry

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