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, 1999, Volume 120, Number 2, Pages 277–290
DOI: https://doi.org/10.4213/tmf775 (Mi tmf775) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Schrödinger operator with a perturbed small steplike potential

Yu. P. Chuburin

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences
Full-text PDF (245 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf775
Abstract: We consider the Schrödinger operator with a potential that is periodic with respect to two variables and has the shape of a small step perturbed by a function decreasing with respect to a third variable. We show that under certain conditions on the magnitudes of the step and the perturbation, a unique level that can be an eigenvalue or a resonance exists near the essential spectrum. We find the asymptotic value of this level.
Received: 27.11.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 120, Issue 2, Pages 1045–1057
DOI: https://doi.org/10.1007/BF02557411
Bibliographic databases:
Language: Russian
Citation: Yu. P. Chuburin, “Schrödinger operator with a perturbed small steplike potential”, TMF, 120:2 (1999), 277–290; Theoret. and Math. Phys., 120:2 (1999), 1045–1057
Citation in format AMSBIB
\Bibitem{Chu99}
\by Yu.~P.~Chuburin
\paper Schr\"odinger operator with a perturbed small steplike potential
\jour TMF
\yr 1999
\vol 120
\issue 2
\pages 277--290
\mathnet{http://mi.mathnet.ru/tmf775}
\crossref{https://doi.org/10.4213/tmf775}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737292}
\zmath{https://zbmath.org/?q=an:0991.81022}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 120
\issue 2
\pages 1045--1057
\crossref{https://doi.org/10.1007/BF02557411}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000083500600008}
Linking options:
  • https://www.mathnet.ru/eng/tmf775
  • https://doi.org/10.4213/tmf775
  • https://www.mathnet.ru/eng/tmf/v120/i2/p277
    • This publication is cited in the following 6 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:417
    Full-text PDF :192
    References:59
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024