The aim of this paper is to describe concisely the recent theoretical and numerical developments concerningabsorbing boundary conditions and perfectly matched layers for solving classical and relativistic quantum waves problems. The equations considered in this paper are the Schrödinger, Klein–Gordon and Dirac equations.

Additional Metadata
Keywords absorbing boundary conditions, Classical quantum waves, Dirac equation, Klein–Gordon equation, numerical schemes, perfectly matched layers, relativistic quantum waves, Schrödinger equation, simulation
Persistent URL dx.doi.org/10.1080/00268976.2017.1290834
Journal Molecular Physics
Citation
Antoine, X., Lorin, E, & Tang, Q. (2017). A friendly review of absorbing boundary conditions and perfectly matched layers for classical and relativistic quantum waves equations. Molecular Physics, 115(15-16), 1861–1879. doi:10.1080/00268976.2017.1290834