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On Asymptotics of the Scattering Problem Solution of n Like-Charged Quantum Particles

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Abstract

We suggest an ansatz which describes a leading term of asymptotics of the n three-dimensional like-charged quantum particles scattering problem solution. The description of the solution coincides with the previously known constructions in the asymptotic configurations studied earlier (for example, n = 3). The Schroedinger equation discrepancy for the suggested ansatz decreases faster than the potential uniformly in all angular variables at infinity in configuration space.

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Authors and Affiliations

  1. Department of Physics, St. Petersburg State University, St. Petergof, Ulianovskaja 1, 198504, St. Petersburg, Russia

    S. B. Levin & Y. Y. Koptelov

Authors
  1. S. B. Levin
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  2. Y. Y. Koptelov
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Correspondence to S. B. Levin.

Additional information

We would like to express our deep gratitude to our teacher. Prof. Vladimir S. Buslaev.

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Levin, S.B., Koptelov, Y.Y. On Asymptotics of the Scattering Problem Solution of n Like-Charged Quantum Particles. Few-Body Syst 55, 809–812 (2014). https://doi.org/10.1007/s00601-013-0798-7

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  • DOI: https://doi.org/10.1007/s00601-013-0798-7

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