Absorbing boundary conditions for relativistic quantum mechanics equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:277

Article

Antoine, X.^1,2  Lorin, E.^3,4  Sater, J.⁴  Fillion-Gourdeau, F.³  Bandrauk, A. D.^3,5 

[1] ALICE, IECL, Inria Nancy Grand Est, Nancy, France

[2] Univ Lorraine, Inst Elie Cartan Lorraine, F-54506 Vandoeuvre Les Nancy, France

[3] Univ Montreal, Ctr Rech Math, Montreal, PQ H3T 1J4, Canada

[4] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

[5] Univ Sherbrooke, Chim Theor Lab, Sherbrooke, PQ J1K 2R1, Canada

关键词: Microlocal analysis;    Pseudo-differential operators;    Absorbing boundary conditions;    Wave equation;    Dirac equation;    Klein-Gordon equation;    Numerical approximation;   

DOI  :  10.1016/j.jcp.2014.07.037

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free