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Asymptotic time evolutions for strictly outgoing multiparticle quantum systems with long-range potentials

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1324)

Abstract

Strictly outgoing multiparticle scattering states are characterized by the phase space localization of bounded subsystems relative to each other. We prove that for late times the free relative motion of the clusters is a good approximation of the interacting evolution for late times. If long-range potentials are present we analyze different modified free evolutions and we show where they approximate the true motion. Stronger correlations between position and velocity are derived with their help.

Keywords

  • Configuration Space
  • Asymptotic Completeness
  • Classical Phase Space
  • Smooth Cutoff Function
  • Schrodinger Operator

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1988 Springer-Verlag

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Enss, V. (1988). Asymptotic time evolutions for strictly outgoing multiparticle quantum systems with long-range potentials. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100783

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  • DOI: https://doi.org/10.1007/BFb0100783

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50111-4

  • Online ISBN: 978-3-540-45928-6

  • eBook Packages: Springer Book Archive