Absorbing boundary conditions for relativistic quantum mechanics equations

نویسندگان

  • Xavier Antoine
  • Emmanuel Lorin
  • J. Sater
  • François Fillion-Gourdeau
  • André D. Bandrauk
چکیده

This paper is devoted to the derivation of absorbing boundary conditions for the KleinGordon and Dirac equations modeling quantum and relativistic particles subject to classical electromagnetic fields. Microlocal analysis is the main ingredient in the derivation of these boundary conditions, which are obtained in the form of pseudodifferential equations. Basic numerical schemes are derived and analyzed to illustrate the accuracy of the derived boundary conditions. Keyword words: Microlocal analysis, pseudo-differential operators, absorbing boundary conditions, wave equation, Dirac equation, Klein-Gordon equation, numerical approximation.

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عنوان ژورنال:
  • J. Comput. Physics

دوره 277  شماره 

صفحات  -

تاریخ انتشار 2014