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, 2002, Volume 131, Number 3, Pages 389–406
DOI: https://doi.org/10.4213/tmf336
(Mi tmf336)
 

This article is cited in 7 scientific papers (total in 7 papers)

Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments

A. V. Pereskokov

Moscow Power Engineering Institute (Technical University)
Full-text PDF (286 kB) Citations (7)
References:
Abstract: We consider the eigenvalue problem for the two-dimensional Schrödinger equation containing an integral Hartree-type nonlinearity with an interaction potential having a logarithmic singularity. Global asymptotic solutions localized in the neighborhood of a line segment in the plane are constructed using the matching method for asymptotic expansions. The Bogoliubov and Airy polarons are used as model functions in these solutions. An analogue of the Bohr–Sommerfeld quantization rule is established to find the related series of eigenvalues.
Received: 11.10.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 3, Pages 775–790
DOI: https://doi.org/10.1023/A:1015923406662
Bibliographic databases:
Language: Russian
Citation: A. V. Pereskokov, “Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments”, TMF, 131:3 (2002), 389–406; Theoret. and Math. Phys., 131:3 (2002), 775–790
Citation in format AMSBIB
\Bibitem{Per02}
\by A.~V.~Pereskokov
\paper Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments
\jour TMF
\yr 2002
\vol 131
\issue 3
\pages 389--406
\mathnet{http://mi.mathnet.ru/tmf336}
\crossref{https://doi.org/10.4213/tmf336}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931151}
\zmath{https://zbmath.org/?q=an:1044.35042}
\elib{https://elibrary.ru/item.asp?id=13390443}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 3
\pages 775--790
\crossref{https://doi.org/10.1023/A:1015923406662}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000176741900003}
Linking options:
  • https://www.mathnet.ru/eng/tmf336
  • https://doi.org/10.4213/tmf336
  • https://www.mathnet.ru/eng/tmf/v131/i3/p389
  • This publication is cited in the following 7 articles:
    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
    Statistics & downloads:
    Abstract page:378
    Full-text PDF :213
    References:39
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024