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Functional Analysis and Its Applications

, Volume 46, Issue 2, pp 147–151 | Cite as

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

  • V. S. Buslaev
  • S. B. Levin
Brief Communications

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.

Key words

partial differential equations mathematical physics quantum scattering theory in the system of three charged particles 

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of Mathematical and Computational PhysicsSt-Petersburg State UniversitySt-PetersburgRussia

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