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, 2014, Volume 181, Number 2, Pages 337–348
DOI: https://doi.org/10.4213/tmf8771 (Mi tmf8771) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Energy splitting in dynamical tunneling

E. V. Vybornyi

Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Moscow, Russia
Full-text PDF (423 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf8771
Abstract: We propose an operator method for calculating the semiclassical asymptotic form of the energy splitting value in the general case of tunneling between symmetric orbits in the phase space. We use this approach in the case of a particle on a circle to obtain the asymptotic form of the energy tunneling splitting related to the over-barrier reflection from the potential. As an example, we consider the quantum pendulum in the rotor regime.
Keywords: dynamical tunneling, tunneling splitting, Schrödinger equation, semiclassical approximation, over-barrier reflection.
Received: 17.07.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 2, Pages 1418–1427
DOI: https://doi.org/10.1007/s11232-014-0222-6
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. V. Vybornyi, “Energy splitting in dynamical tunneling”, TMF, 181:2 (2014), 337–348; Theoret. and Math. Phys., 181:2 (2014), 1418–1427
Citation in format AMSBIB
\Bibitem{Vyb14}
\by E.~V.~Vybornyi
\paper Energy splitting in dynamical tunneling
\jour TMF
\yr 2014
\vol 181
\issue 2
\pages 337--348
\mathnet{http://mi.mathnet.ru/tmf8771}
\crossref{https://doi.org/10.4213/tmf8771}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3344454}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014TMP...181.1418V}
\elib{https://elibrary.ru/item.asp?id=22834547}
\transl
\jour Theoret. and Math. Phys.
\yr 2014
\vol 181
\issue 2
\pages 1418--1427
\crossref{https://doi.org/10.1007/s11232-014-0222-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000345836900007}
\elib{https://elibrary.ru/item.asp?id=24013548}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84915820592}
Linking options:
  • https://www.mathnet.ru/eng/tmf8771
  • https://doi.org/10.4213/tmf8771
  • https://www.mathnet.ru/eng/tmf/v181/i2/p337
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024