Skip to main content
SpringerLink
Log in

Classical Planar Scattering by Coulombic Potentials

  • Book
  • © 1992

Overview

Authors:
  1. Markus Klein

    1. Technische Universität, Berlin 12, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Andreas Knauf

    1. Technische Universität, Berlin 12, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 13)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-v
    Download chapter PDF

  2. Introduction

    Pages 1-9

  3. The Scattering Transformation

    Pages 11-22

  4. Regularization

    Pages 23-33

  5. Periodic Orbits

    Pages 35-39

  6. Existence of an Invariant Cone Field

    Pages 41-54

  7. Symbolic Dynamics

    Pages 55-72

  8. Topological Entropy

    Pages 73-80

  9. The Distribution of the Closed Orbits

    Pages 81-88

  10. Fractional Dimension

    Pages 89-93

  11. Time Delay

    Pages 95-103

  12. Measure of the Bound States

    Pages 105-111

  13. The Differential Cross Section

    Pages 113-127

  14. Concluding Remarks

    Pages 129-133

  15. Back Matter

    Pages 135-142
    Download chapter PDF
Back to top

Keywords

About this book

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential. But whereas the fundamental laws of motion thus have a simple form, the n-body problem withstood (for n > 2) all attempts of an explicit solution. Indeed, the studies of Poincare at the end of the last century lead to the conclusion that such an explicit solution should be impossible. Poincare himselfopened a new epoch for rational mechanics by asking qual­ itative questions like the one about the stability of the solar system. To a largeextent, his work, which was critical for the formation of differential geometry and topology, was motivated by problems arising in the analysis of the n-body problem ([38], p. 183). As it turned out, even by confining oneselfto questions ofqualitativenature, the general n-body problem could not be solved. Rather, simplified models were treated, like planar motion or the restricted 3-body problem, where the motion of a test particle did not influence the other two bodies.

Authors and Affiliations

  • Technische Universität, Berlin 12, Germany

    Markus Klein, Andreas Knauf

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation