RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


TMF, 1975, Volume 23, Number 1, Pages 78–93 (Mi tmf3787)  

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

Solution of the three-body problem at zero energy by the boundary condition method

N. N. Beloozerov


Abstract: System of three identical spinless bosons interacting by means of two-particle potentials of the finite range is considered. The Schrödinger equation is reduced to the problem with boundary conditions, with the aid of the assumption that the logarithmic derivative of the wave function on the potential surface does not depend on the third particle position outside the six-dimensional sphere with the radius $R$ in configuration space. In this region the ratio $r_0/R$ is a small parameter. In the lowest approximation with respect to this parameter the sequence of the boundary problem solutions at zero total energy is found. It is shown that for constructing the wave function, the generalized Fourier method can be applied, the elementary solutions of which coincide with the functions obtained.

Full text: PDF file (872 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1975, 23:1, 362–374

Bibliographic databases:

Received: 03.04.1974

Citation: N. N. Beloozerov, “Solution of the three-body problem at zero energy by the boundary condition method”, TMF, 23:1 (1975), 78–93; Theoret. and Math. Phys., 23:1 (1975), 362–374

Citation in format AMSBIB
\Bibitem{Bel75}
\by N.~N.~Beloozerov
\paper Solution of the three-body problem at zero energy by the boundary condition method
\jour TMF
\yr 1975
\vol 23
\issue 1
\pages 78--93
\mathnet{http://mi.mathnet.ru/tmf3787}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=475449}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 1
\pages 362--374
\crossref{https://doi.org/10.1007/BF01038220}


Linking options:
  • http://mi.mathnet.ru/eng/tmf3787
  • http://mi.mathnet.ru/eng/tmf/v23/i1/p78

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    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. N. N. Beloozerov, “Solution of the $nd$ scattering problem at the deuteron breakup energy by the boundary condition method”, Theoret. and Math. Phys., 33:1 (1977), 877–884  mathnet  crossref  mathscinet
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:257
    Full text:90
    References:36
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020