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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2017 Volume 461, Pages 65–94 (Mi znsl6481)

This article is cited in 3 papers

Some aspects of the scattering problem for the system of three charged particles

A. M. Budylin, Ya. U. Koptelov, S. B. Levin

St. Petersburg State University, St. Petersburg, Russia

Abstract: The influence aspects of the spectral vicinity accumulation point of pair subsystem bound energies on the Hamiltonian continuous spectrum eigenfunctions structure of three charged particles system is discussed. The cumulative contribution of pair highly excited states is separated in the coordinate asymptotics of these functions.

Key words and phrases: three-body quantum scattering problem, Coulomb pair potentials, discrete spectrum accumulation point, asymptotics of eigenfunctions.

UDC: 517.9

Received: 30.10.2017


 English version:
Journal of Mathematical Sciences (New York), 2019, 238:5, 601–620


© Steklov Math. Inst. of RAS, 2024