期刊
COMPUTER PHYSICS COMMUNICATIONS
卷 177, 期 10, 页码 781-786出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2007.06.014
关键词
Schrodinger equation; Trotter formula; numerical error; parallel algorithm
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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