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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 79–115 (Mi znsl6348)  
This article is cited in 9 scientific papers (total 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
Full-text PDF (349 kB) Citations (9)
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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.
Funding agency Grant number
Saint Petersburg State University 11.38.263.2014
Russian Foundation for Basic Research 14-01-0076015 А
Received: 31.10.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 226, Issue 6, Pages 744–767
DOI: https://doi.org/10.1007/s10958-017-3564-4
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: S. B. Levin, “On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 79–115; J. Math. Sci. (N. Y.), 226:6 (2017), 744–767
Citation in format AMSBIB
\Bibitem{Lev16}
\by S.~B.~Levin
\paper On continuous spectrum eigenfunctions asymptotic behaviour at infinity in configuration space for the system of three three-dimensional like-charged quantum particles
\inbook Mathematical problems in the theory of wave propagation. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 451
\pages 79--115
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6348}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3589169}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 226
\issue 6
\pages 744--767
\crossref{https://doi.org/10.1007/s10958-017-3564-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85031500352}
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  • https://www.mathnet.ru/eng/znsl/v451/p79
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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