Absorbing boundary conditions for relativistic quantum mechanics equations

Journal Article · Sat Nov 15 00:00:00 EST 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2014.07.037· OSTI ID:22382145

Antoine, X., E-mail: [e-mail] ^[1]; Inria Nancy Grand-Est/IECL – ALICE ^[2]; Lorin, E., E-mail: [e-mail] ^[3]; Centre de Recherches Mathématiques, Université de Montréal, Montréal, H3T 1J4 ^[4]; Sater, J., E-mail: [e-mail] ^[3]; Fillion-Gourdeau, F., E-mail: [e-mail] ^[5]; Bandrauk, A.D., E-mail: [e-mail] ^[6]; Centre de Recherches Mathématiques, Université de Montréal, Montréal, H3T 1J4 ^[4]

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1. Institut Elie Cartan de Lorraine, Université de Lorraine, F-54506 Vandoeuvre-lès-Nancy Cedex (France)
2. (France)
3. School of Mathematics and Statistics, Carleton University, Ottawa, K1S 5B6 (Canada)
4. (Canada)
5. Centre de Recherches Mathématiques, Université de Montréal, Montréal, H3T 1J4 (Canada)
6. Laboratoire de Chimie Théorique, Université de Sherbrooke, Sherbrooke, J1K 2R1 (Canada)

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.

• OSTI ID: 22382145
• Journal Information: Journal of Computational Physics, Vol. 277; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
APPROXIMATIONS
BOUNDARY CONDITIONS
DIRAC EQUATION
KLEIN-GORDON EQUATION
QUANTUM MECHANICS
RELATIVISTIC RANGE