• DocumentCode
    3142296
  • Title

    A Multisymplectic Scheme for Gross-Pitaevskii Equation

  • Author

    Tian, Yimin

  • Author_Institution
    Math. & Phys. Div., Beijing Inst. of Graphic Commun., Beijing, China
  • fYear
    2009
  • fDate
    15-16 May 2009
  • Firstpage
    562
  • Lastpage
    563
  • Abstract
    For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a multisymplectic difference scheme was constructed to investigate the evolution of vortices in this paper. First, we look for a steady state solution of the imaginary time G-P equation. Then, we numerically study the vortices´s development in real time, starting with the solution in imaginary time as initial value.
  • Keywords
    Bose-Einstein condensation; numerical analysis; Bose-Einstein Condensate; Gross-Pitaevskii equation; multisymplectic difference scheme; numerical analysis; steady state solution; Boundary conditions; Difference equations; Graphics; Mathematics; Nonlinear equations; Physics education; Predictive models; Steady-state; Ubiquitous computing; Wave functions; Bose-Einstein Condesate; multisymplectic methods; two dimensional G-P equation; vortices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Intelligent Ubiquitous Computing and Education, 2009 International Symposium on
  • Conference_Location
    Chengdu
  • Print_ISBN
    978-0-7695-3619-4
  • Type

    conf

  • DOI
    10.1109/IUCE.2009.123
  • Filename
    5223032