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A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity

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Abstract

To our knowledge, there are no expressions (not necessarily rigorously proved mathematically) for the eigenfunctions of a system of three or more charged quantum particles. For a system of three such identical particles, we suggest an asymptotic formula describing the behavior of eigenfunctions at infinity in the configuration space.

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Authors and Affiliations

  1. Department of Mathematical and Computational Physics, St-Petersburg State University, St-Petersburg, Russia

    V. S. Buslaev & S. B. Levin

Authors
  1. V. S. Buslaev
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  2. S. B. Levin
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Correspondence to S. B. Levin.

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__________

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 46, No. 2, pp. 83–88, 2012

Original Russian Text Copyright © by V. S. Buslaev and S. B. Levin

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Buslaev, V.S., Levin, S.B. A system of three three-dimensional charged quantum particles: Asymptotic behavior of the eigenfunctions of the continuous spectrum at infinity. Funct Anal Its Appl 46, 147–151 (2012). https://doi.org/10.1007/s10688-012-0020-6

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  • DOI: https://doi.org/10.1007/s10688-012-0020-6

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