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Completeness of three body quantum scattering

Part of the Lecture Notes in Mathematics book series (LNM,volume 1031)

Abstract

We outline a time-dependent proof of asymptotic completeness for scattering of three quantum mechanical particles which may be distinguishable or identical. The particles interact with pair potentials of short range, i.e. roughly with decay like r-1-ε, ε>0 towards infinity. In particular the two body subsystems may have bound states or resonances at zero energy, and the three body system may have infinitely many scattering channels. The dimension is arbitrary.

Keywords

  • Wave Operator
  • Asymptotic Completeness
  • Spectral Subspace
  • Smooth Cutoff Function
  • Singular Continuous Spectrum

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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© 1983 Springer-Verlag

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Enss, V. (1983). Completeness of three body quantum scattering. In: Blanchard, P., Streit, L. (eds) Dynamics and Processes. Lecture Notes in Mathematics, vol 1031. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072111

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  • DOI: https://doi.org/10.1007/BFb0072111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12705-5

  • Online ISBN: 978-3-540-38691-9

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