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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 65–94 (Mi znsl6481)  

This article is cited in 3 scientific papers (total 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
Full-text PDF (310 kB) Citations (3)
References:
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
Received: 30.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 5, Pages 601–620
DOI: https://doi.org/10.1007/s10958-019-04260-7
Document Type: Article
UDC: 517.9
Language: Russian
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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  • https://www.mathnet.ru/eng/znsl/v461/p65
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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