• DocumentCode
    587544
  • Title

    On homogenization of the periodic Dirac operator

  • Author

    Kukushkin, A.A.

  • Author_Institution
    Dept. of Phys., St.Petersburg State Univ., St. Petersburg, Russia
  • fYear
    2012
  • fDate
    May 28 2012-June 1 2012
  • Firstpage
    169
  • Lastpage
    173
  • Abstract
    We study homogenization problem for the two-dimensional periodic Dirac operator with the help of operator-theoretic approach to homogenization for matrix elliptic second order differential operators suggested by M. Sh. Birman and T. A. Suslina. Approximations of the resolvent of the Dirac operator with non-singular and singular magnetic potentials in the L2-operator norm with sharp order error estimates are obtained.
  • Keywords
    Dirac equation; differential equations; L2-operator norm; homogenization problem; matrix elliptic second order differential operator; operator-theoretic approach; periodic Dirac operator homogenization; sharp order error estimates; singular magnetic poten- tials; two-dimensional periodic Dirac operator; Approximation methods; Diffraction; Educational institutions; Electronic mail; Equations; Lattices; Physics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2012
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4673-4418-0
  • Type

    conf

  • DOI
    10.1109/DD.2012.6402772
  • Filename
    6402772
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=587544