• DocumentCode
    1909009
  • Title

    Counting eigenvalues of Schrödinger operator with δ-potential supported by loop

  • Author

    Lotoreichik, Vladimir Yu ; Lobanov, Igor S. ; Popov, Igor Yu ; Behrndt, Jussi

  • Author_Institution
    Dept. of Math., St. Petersburg State Univ. of Inf. Technol., Mech. & Opt., St. Petersburg, Russia
  • fYear
    2009
  • fDate
    26-29 May 2009
  • Firstpage
    140
  • Lastpage
    143
  • Abstract
    The Schrödinger operator with an attractive δ-potential supported by a loop is considered. For such an operator we estimate the number of negative eigenvalues from below and from above in terms of geometrical properties of the support of δ-potential.
  • Keywords
    Schrodinger equation; eigenvalues and eigenfunctions; Schrodinger operator; delta-potential; geometrical properties; mesoscopic physics; negative eigenvalues; Diffraction; Eigenvalues and eigenfunctions; Electronic mail; Kernel; Physics; System-on-a-chip;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2009 Proceedings of the International Conference
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4244-4874-6
  • Type

    conf

  • Filename
    5562613
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1909009