Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 228, Issue 24, Pages 9092-9106Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.09.012
Keywords
Klein-Gordon equation; Split operator method; Numerical simulation
Ask authors/readers for more resources
The Klein-Gordon equation is a Lorentz invariant equation of motion for spinless particles. We propose a real space split operator method for the solution of the time-dependent Klein-Gordon equation with arbitrary electromagnetic fields. Split operator methods for the Schrodinger equation and the Dirac equation typically operate alternately in real space and momentum space and, therefore, require the computation of a Fourier transform in each time step. However, the fact that the kinetic energy operator (K) over cap in the two-component representation of the Klein-Gordon equation is a nilpotent operator, that is (K) over cap (2) = 0, allows us to implement the split operator method for the Klein-Gordon equation entirely in real space. Consequently, the split operator method for the Klein-Gordon equation does not require the computation of a Fourier transform and may be parallelized efficiently by domain decomposition. (C) 2009 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available