Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 177, Issue 10, Pages 781-786Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2007.06.014
Keywords
Schrodinger equation; Trotter formula; numerical error; parallel algorithm
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The parallel algorithm for solving time-dependent Schrodinger equations devised by De Raedt and based on the Trotter formula is not only simple but also unconditionally stable, explicit, and local. We consider the numerical errors resulting from the finite-difference approximation of De Raedt's algorithm by comparing an exact solution of a free particle with the approximate solution calculated by using the Trotter formula, which depends on the size of the spatial-temporal lattice. (C) 2007 Elsevier B.V. All rights reserved.
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