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

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Abstract

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 Cvitanović(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.

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© 1986 Springer-Verlag Berlin Heidelberg

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Duch, W. (1986). Preface. In: GRMS or Graphical Representation of Model Spaces. Lecture Notes in Chemistry, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93347-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-93347-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17169-0

  • Online ISBN: 978-3-642-93347-9

  • eBook Packages: Springer Book Archive

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