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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2016 Volume 451, Pages 79–115 (Mi znsl6348)

This article is cited in 9 papers

On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles

S. B. Levin

St. Petersburg State University, St. Petersburg, Russia

Abstract: To our knowledge there are no complete results, even not strictly mathematically justified, related to the system of three and more quantum particles, interacting by Coulomb pair potentials, and expressed in terms of eigenfunctions. For the system of three such identical particles we suggest the asymptotic formulas describing the behaviour of eigenfunctions at infinity in configuration space.

Key words and phrases: three-body quantum scattering problem, eigenfunctions asymptotics, Coulomb pair potentials.

UDC: 517

Received: 31.10.2016


 English version:
Journal of Mathematical Sciences (New York), 2017, 226:6, 744–767

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