EFFICIENT FINITE-DIFFERENCE SOLUTIONS TO THE TIME-DEPENDENT SCHRODINGER-EQUATION

Authors
NASH PL CHEN LY
Citation
Pl. Nash et Ly. Chen, EFFICIENT FINITE-DIFFERENCE SOLUTIONS TO THE TIME-DEPENDENT SCHRODINGER-EQUATION, Journal of computational physics, 130(2), 1997, pp. 266-268
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
130
Issue
2
Year of publication
1997
Pages
266 - 268
Database
ISI
SICI code
0021-9991(1997)130:2<266:EFSTTT>2.0.ZU;2-8
Abstract
The matrix elements of the exponential of a finite difference realizat ion of the one-dimensional Laplacian are found exactly. This matrix is used to formulate an efficient algorithm for the numerical solution t o the time-dependent quantum mechanical scattering of a single particl e from a time-independent potential in one-space and one-time dimensio n. The method generalizes to higher spatial dimensions, as well as to multiparticle problems. (C) 1997 Academic Press.