1er Symposium canadien en analyse numérique et calcul scientifique
Absorbing boundary conditions for quantum relativistic equations
Lorin, Emmanuel
School of Mathematics and Statistics, Carleton University

Absorbing boundary conditions are derived for the Klein-Gordon and Dirac equations modeling quantum particles subject to a classical electromagnetic field in high frequency regime. The proposed approach is based on the approximation of pseudo-differential operators using techniques developed by Antoine, Barucq and Besse. Numerical schemes are derived and analyzed to illustrate the accuracy of the derived boundary conditions.

This is a joint work with X. Antoine (Univ. Lorraine) and J. Sater (Carleton Univ.).

Jeudi, 20 juin, 12h00
Salle Des Plaines B