# GRMS or Graphical Representation of Model Spaces

## Vol. 1 Basics

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

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

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

- DOI https://doi.org/10.1007/978-3-642-93347-9
- 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
- About this book