Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki:
Year:
Volume:
Issue:
Page:
Find






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


Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 2, Pages 88–97 (Mi vuu218)  

This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Quasi-levels of the discrete Schrödinger operator for a quantum waveguide

T. S. Tinyukova

Udmurt State University, Izhevsk, Russia

Abstract: We proved that the discrete Schrödinger operator corresponding to a quantum waveguide with a small exponentially decreasing potential has quasi-levels (eigenvalues or resonances). The asymptotic formulas for these quasi-levels are obtained.

Keywords: discrete Schrödinger equation, eigenvalue, resonance.

Full text: PDF file (158 kB)
References: PDF file   HTML file
UDC: 517.958+530.145.6
MSC: 81Q10, 81Q15
Received: 25.04.2011

Citation: T. S. Tinyukova, “Quasi-levels of the discrete Schrödinger operator for a quantum waveguide”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 88–97

Citation in format AMSBIB
\Bibitem{Tin11}
\by T.~S.~Tinyukova
\paper Quasi-levels of the discrete Schr\"odinger operator for a~quantum waveguide
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 2
\pages 88--97
\mathnet{http://mi.mathnet.ru/vuu218}


Linking options:
  • http://mi.mathnet.ru/eng/vuu218
  • http://mi.mathnet.ru/eng/vuu/y2011/i2/p88

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. T. S. Tinyukova, “Rasseyanie v sluchae diskretnogo operatora Shredingera dlya peresekayuschikhsya kvantovykh provolok”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 3, 74–84  mathnet
    2. T. S. Tinyukova, Yu. P. Chuburin, “Diskretnoe uravnenie Shredingera dlya kvantovogo volnovoda”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2012, no. 4, 80–93  mathnet
    3. T. S. Tinyukova, “Issledovanie raznostnogo uravneniya Shredingera dlya nekotorykh fizicheskikh modelei”, Izv. IMI UdGU, 2013, no. 2(42), 3–57  mathnet
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
    Number of views:
    This page:195
    Full text:108
    References:48
    First page:1

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2022