Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
518282 | Journal of Computational Physics | 2014 | 37 Pages |
Abstract
This paper is devoted to the derivation of absorbing boundary conditions for the Klein–Gordon 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 pseudo-differential equations. Basic numerical schemes are derived and analyzed to illustrate the accuracy of the derived boundary conditions.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
X. Antoine, E. Lorin, J. Sater, F. Fillion-Gourdeau, A.D. Bandrauk,