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, 2009, Volume 265, Pages 288–319 (Mi tm842)  
This article is cited in 6 scientific papers (total in 6 papers)

Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems

I. V. Volovich, A. S. Trushechkin

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (359 kB) Citations (6)
References:
PDF
HTML
Abstract: We construct families of squeezed quantum states on an interval and analyze their asymptotic behavior. We study the localization properties of a kind of such states constructed on the basis of the theta function. For the coordinate and momentum dispersions of a quantum particle on an interval, we obtain estimates that apply, in particular, to nanoscale systems.
Received in December 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 276–306
DOI: https://doi.org/10.1134/S0081543809020254
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145
Language: Russian
Citation: I. V. Volovich, A. S. Trushechkin, “Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 288–319; Proc. Steklov Inst. Math., 265 (2009), 276–306
Citation in format AMSBIB
\Bibitem{VolTru09}
\by I.~V.~Volovich, A.~S.~Trushechkin
\paper Squeezed Quantum States on an Interval and Uncertainty Relations for Nanoscale Systems
\inbook Selected topics of mathematical physics and $p$-adic analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 265
\pages 288--319
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm842}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2599562}
\zmath{https://zbmath.org/?q=an:1180.81075}
\elib{https://elibrary.ru/item.asp?id=12601469}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 265
\pages 276--306
\crossref{https://doi.org/10.1134/S0081543809020254}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268514300025}
\elib{https://elibrary.ru/item.asp?id=15305685}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350071867}
Linking options:
  • https://www.mathnet.ru/eng/tm842
  • https://www.mathnet.ru/eng/tm/v265/p288
    • 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
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:606
    Full-text PDF :78
    References:107
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024