Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 176–187 (Mi tm747)  

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

Periodic Magnetic Schrödinger Operators: Spectral Gaps and Tunneling Effect

Yu. A. Kordyukova, B. Helfferb

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Paris-Sud University 11
Full-text PDF (214 kB) Citations (7)
References:
Abstract: A periodic Schrödinger operator on a noncompact Riemannian manifold $M$ such that $H^1(M,\mathbb R)=0$ endowed with a properly discontinuous cocompact isometric action of a discrete group is considered. Under some additional conditions on the magnetic field, the existence of an arbitrary large number of gaps in the spectrum of such an operator in the semiclassical limit is established. The proofs are based on the study of the tunneling effect in the corresponding quantum system.
Received in July 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 171–182
DOI: https://doi.org/10.1134/S0081543808020132
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: Yu. A. Kordyukov, B. Helffer, “Periodic Magnetic Schrödinger Operators: Spectral Gaps and Tunneling Effect”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 176–187; Proc. Steklov Inst. Math., 261 (2008), 171–182
Citation in format AMSBIB
\Bibitem{KorHel08}
\by Yu.~A.~Kordyukov, B.~Helffer
\paper Periodic Magnetic Schr\"odinger Operators: Spectral Gaps and Tunneling Effect
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2008
\vol 261
\pages 176--187
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm747}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2489704}
\zmath{https://zbmath.org/?q=an:1237.58029}
\elib{https://elibrary.ru/item.asp?id=11032694}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2008
\vol 261
\pages 171--182
\crossref{https://doi.org/10.1134/S0081543808020132}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000262227900013}
\elib{https://elibrary.ru/item.asp?id=13579399}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-48849084146}
Linking options:
  • https://www.mathnet.ru/eng/tm747
  • https://www.mathnet.ru/eng/tm/v261/p176
  • 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
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024