RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
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, 1980, Volume 42, Number 1, Pages 59–70 (Mi tmf3722)  

This article is cited in 5 scientific papers (total in 5 papers)

Example of relativistic two-body problem. I. Boundary-value problem for minimal surface

N. A. Chernikov, N. S. Shavokhina


Abstract: A certain type of interaction of two particles is reduced to the Lagrange system of partial differential equations for the world surface connecting the world lines which are the particle trajectories, the mechanics equations being the boundary conditions. The simplest example of this type, the nonrelativistic model, is analysed. The two-body relativistic problem analogous to the considered nonrelativistic model also belongs to the type under consideration.

Full text: PDF file (1322 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 1980, 42:1, 38–46

Bibliographic databases:

Received: 23.10.1978

Citation: N. A. Chernikov, N. S. Shavokhina, “Example of relativistic two-body problem. I. Boundary-value problem for minimal surface”, TMF, 42:1 (1980), 59–70; Theoret. and Math. Phys., 42:1 (1980), 38–46

Citation in format AMSBIB
\Bibitem{CheSha80}
\by N.~A.~Chernikov, N.~S.~Shavokhina
\paper Example of~relativistic two-body problem.
I.~Boundary-value problem for minimal surface
\jour TMF
\yr 1980
\vol 42
\issue 1
\pages 59--70
\mathnet{http://mi.mathnet.ru/tmf3722}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=561003}
\zmath{https://zbmath.org/?q=an:0422.49032|0437.49038}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 1
\pages 38--46
\crossref{https://doi.org/10.1007/BF01019258}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1980KA96200007}


Linking options:
  • http://mi.mathnet.ru/eng/tmf3722
  • http://mi.mathnet.ru/eng/tmf/v42/i1/p59

    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
    Cycle of papers

    This publication is cited in the following articles:
    1. N. A. Chernikov, N. S. Shavokhina, “Example of relativistic two-body problem. II. Equations of motion”, Theoret. and Math. Phys., 43:3 (1980), 511–518  mathnet  crossref  mathscinet  zmath  isi
    2. M. Yu. Pozdeev, G. P. Pron'ko, A. V. Razumov, “Relativistic string with fixed end points”, Theoret. and Math. Phys., 58:3 (1984), 246–254  mathnet  crossref  isi
    3. V. V. Nesterenko, “Calculation of static interquark potential in a string model in a timelike gauge”, Theoret. and Math. Phys., 71:2 (1987), 504–511  mathnet  crossref  isi
    4. B. M. Barbashov, A. M. Chervyakov, “Geometrical method of solving the boundary-value problem in the theory of a relativistic string with masses at its ends”, Theoret. and Math. Phys., 74:3 (1988), 292–299  mathnet  crossref  mathscinet  zmath  isi
    5. B. M. Barbashov, A. M. Chervyakov, “Action at a distance and equations of motion of a system of two massive points connected by a relativistic string”, Theoret. and Math. Phys., 89:1 (1991), 1087–1098  mathnet  crossref  mathscinet  zmath  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:322
    Full text:120
    References:23
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019