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

This article is cited in 1 scientific paper (total in 1 paper)

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.

Funding Agency Grant Number
Russian Science Foundation 17-11-01003


Full text: PDF file (310 kB)
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English version:
Journal of Mathematical Sciences (New York), 2019, 238:5, 601–620

UDC: 517.9
Received: 30.10.2017

Citation: A. M. Budylin, Ya. U. Koptelov, S. B. Levin, “Some aspects of the scattering problem for the system of three charged particles”, Mathematical problems in the theory of wave propagation. Part 47, Zap. Nauchn. Sem. POMI, 461, POMI, St. Petersburg, 2017, 65–94; J. Math. Sci. (N. Y.), 238:5 (2019), 601–620

Citation in format AMSBIB
\Bibitem{BudKopLev17}
\by A.~M.~Budylin, Ya.~U.~Koptelov, S.~B.~Levin
\paper Some aspects of the scattering problem for the system of three charged particles
\inbook Mathematical problems in the theory of wave propagation. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 461
\pages 65--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6481}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 5
\pages 601--620
\crossref{https://doi.org/10.1007/s10958-019-04260-7}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. B. Levin, “Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles”, Math. Notes, 108:3 (2020), 457–461  mathnet  crossref  crossref  isi
  • Записки научных семинаров ПОМИ
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