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, 2008, Volume 155, Number 2, Pages 215–235
DOI: https://doi.org/10.4213/tmf6206 (Mi tmf6206) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity

J. Brüninga, S. Yu. Dobrokhotovb, R. V. Nekrasovb, A. I. Shafarevichb

a Humboldt University
b A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Full-text PDF (741 kB) Citations (8)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6206
Abstract: We consider the nonlinear Schrödinger equation with an integral Hartree-type nonlinearity in a thin quantum waveguide and study the propagation of Gaussian wave packets localized in the spatial variables. In the case of periodically varying waveguide walls, we establish the relation between the behavior of wave packets and the spectral properties of the auxiliary periodic problem for the one-dimensional Schrödinger equation. We show that for a positive value of the nonlinearity parameter, the integral nonlinearity prevents the packet from spreading as it propagates. In addition, we find situations such that the packet is strongly focused periodically in time and space.
Keywords: nonstationary Schrödinger equation with an integral nonlinearity, thin tube, Gaussian wave packet, localization.
Received: 03.07.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 155, Issue 2, Pages 689–707
DOI: https://doi.org/10.1007/s11232-008-0059-y
Bibliographic databases:
Language: Russian
Citation: J. Brüning, S. Yu. Dobrokhotov, R. V. Nekrasov, A. I. Shafarevich, “Propagation of Gaussian wave packets in thin periodic quantum waveguides with a nonlocal nonlinearity”, TMF, 155:2 (2008), 215–235; Theoret. and Math. Phys., 155:2 (2008), 689–707
Citation in format AMSBIB
\Bibitem{BruDobNek08}
\by J.~Br\"uning, S.~Yu.~Dobrokhotov, R.~V.~Nekrasov, A.~I.~Shafarevich
\paper Propagation of Gaussian wave packets in thin periodic quantum
waveguides with a~nonlocal nonlinearity
\jour TMF
\yr 2008
\vol 155
\issue 2
\pages 215--235
\mathnet{http://mi.mathnet.ru/tmf6206}
\crossref{https://doi.org/10.4213/tmf6206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2446128}
\zmath{https://zbmath.org/?q=an:1145.81351}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2008TMP...155..689B}
\transl
\jour Theoret. and Math. Phys.
\yr 2008
\vol 155
\issue 2
\pages 689--707
\crossref{https://doi.org/10.1007/s11232-008-0059-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000256083500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43949129416}
Linking options:
  • https://www.mathnet.ru/eng/tmf6206
  • https://doi.org/10.4213/tmf6206
  • https://www.mathnet.ru/eng/tmf/v155/i2/p215
    • This publication is cited in the following 8 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:759
    Full-text PDF :241
    References:87
    First page:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024