Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 2, Pages 83–88
DOI: https://doi.org/10.4213/faa3067 (Mi faa3067) 		 
This article is cited in 12 scientific papers (total in 13 papers)

Brief communications

A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity

V. S. Buslaev, S. B. Levin

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (155 kB) Citations (13) English version article
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3067
Abstract: To our knowledge, there are no expressions (not necessarily rigorously proved mathematically) for the eigenfunctions of a system of three or more charged quantum particles. For a system of three such identical particles, we suggest an asymptotic formula describing the behavior of eigenfunctions at infinity in the configuration space.
Keywords: partial differential equations, mathematical physics, quantum scattering theory in the system of three charged particles.
Received: 18.01.2012
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 2, Pages 147–151
DOI: https://doi.org/10.1007/s10688-012-0020-6
Bibliographic databases:
Document Type: Article
UDC: 519.6+517.9
Language: Russian
Citation: V. S. Buslaev, S. B. Levin, “A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions of the Continuous Spectrum at Infinity”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 83–88; Funct. Anal. Appl., 46:2 (2012), 147–151
Citation in format AMSBIB
\Bibitem{BusLev12}
\by V.~S.~Buslaev, S.~B.~Levin
\paper A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions
of the Continuous Spectrum at Infinity
\jour Funktsional. Anal. i Prilozhen.
\yr 2012
\vol 46
\issue 2
\pages 83--88
\mathnet{http://mi.mathnet.ru/faa3067}
\crossref{https://doi.org/10.4213/faa3067}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2978062}
\zmath{https://zbmath.org/?q=an:1272.81185}
\elib{https://elibrary.ru/item.asp?id=20730655}
\transl
\jour Funct. Anal. Appl.
\yr 2012
\vol 46
\issue 2
\pages 147--151
\crossref{https://doi.org/10.1007/s10688-012-0020-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000305412000007}
\elib{https://elibrary.ru/item.asp?id=17992191}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862565280}
Linking options:
  • https://www.mathnet.ru/eng/faa3067
  • https://doi.org/10.4213/faa3067
  • https://www.mathnet.ru/eng/faa/v46/i2/p83
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:792
    Full-text PDF :308
    References:130
    First page:28
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025