Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
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


Teoreticheskaya i Matematicheskaya Fizika, 1983, Volume 55, Number 3, Pages 461–468 (Mi tmf2182)  

Sturm representation of the Green's function of an arbitrary number of particles interacting by the oscillator law

A. A. Sadovoi
References:
Abstract: A Sturm representation is obtained for the Green's function of an arbitrary number of particles interacting with one another in accordance with the oscillator law. Use is made of the $K$ harmonics of the method of multidimensional hyperspherical functions and the eigenfunctions of the generalized eigenvatue problem for the oscillator potential. From the obtained results, the Sturm representation for the Green's function of noninteracting particles is obtained as a special case at oscillator frequency $\omega=0$.
Received: 06.09.1982
English version:
Theoretical and Mathematical Physics, 1983, Volume 55, Issue 3, Pages 620–625
DOI: https://doi.org/10.1007/BF01015173
Bibliographic databases:
Language: Russian
Citation: A. A. Sadovoi, “Sturm representation of the Green's function of an arbitrary number of particles interacting by the oscillator law”, TMF, 55:3 (1983), 461–468; Theoret. and Math. Phys., 55:3 (1983), 620–625
Citation in format AMSBIB
\Bibitem{Sad83}
\by A.~A.~Sadovoi
\paper Sturm representation of the Green's function of an arbitrary number of particles interacting by the oscillator law
\jour TMF
\yr 1983
\vol 55
\issue 3
\pages 461--468
\mathnet{http://mi.mathnet.ru/tmf2182}
\transl
\jour Theoret. and Math. Phys.
\yr 1983
\vol 55
\issue 3
\pages 620--625
\crossref{https://doi.org/10.1007/BF01015173}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983RV89200011}
Linking options:
  • https://www.mathnet.ru/eng/tmf2182
  • https://www.mathnet.ru/eng/tmf/v55/i3/p461
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024