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, 2004, Volume 138, Number 1, Pages 41–54
DOI: https://doi.org/10.4213/tmf7 (Mi tmf7) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Local Perturbations of the Schrödinger Operator on the Plane

R. R. Gadyl'shin

Bashkir State Pedagogical University
Full-text PDF (261 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf7
Abstract: We obtain necessary and sufficient conditions for the appearance of a small eigenvalue of the Schrödinger operator on the plane under local operatorial excitations. In the case where the small eigenvalue exists, we construct its asymptotic behavior. We present examples.
Keywords: Schrödinger operator, perturbation, small parameter, eigenvalue, asymptotic behavior.
Received: 31.07.2002
Revised: 19.03.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 138, Issue 1, Pages 33–44
DOI: https://doi.org/10.1023/B:TAMP.0000010631.40891.f0
Bibliographic databases:
Language: Russian
Citation: R. R. Gadyl'shin, “Local Perturbations of the Schrödinger Operator on the Plane”, TMF, 138:1 (2004), 41–54; Theoret. and Math. Phys., 138:1 (2004), 33–44
Citation in format AMSBIB
\Bibitem{Gad04}
\by R.~R.~Gadyl'shin
\paper Local Perturbations of the Schr\"odinger Operator on the Plane
\jour TMF
\yr 2004
\vol 138
\issue 1
\pages 41--54
\mathnet{http://mi.mathnet.ru/tmf7}
\crossref{https://doi.org/10.4213/tmf7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2061091}
\zmath{https://zbmath.org/?q=an:1178.35146}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...138...33G}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 138
\issue 1
\pages 33--44
\crossref{https://doi.org/10.1023/B:TAMP.0000010631.40891.f0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000188977100004}
Linking options:
  • https://www.mathnet.ru/eng/tmf7
  • https://doi.org/10.4213/tmf7
  • https://www.mathnet.ru/eng/tmf/v138/i1/p41
    • This publication is cited in the following 14 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:539
    Full-text PDF :220
    References:79
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024