DISCRETE TRANSPARENT BOUNDARY-CONDITIONS FOR SCHRODINGER-TYPE EQUATIONS

Authors
SCHMIDT F YEVICK D
Citation
F. Schmidt et D. Yevick, DISCRETE TRANSPARENT BOUNDARY-CONDITIONS FOR SCHRODINGER-TYPE EQUATIONS, Journal of computational physics, 134(1), 1997, pp. 96-107
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics → ACNP
ISSN journal
00219991
Volume
134
Issue
1
Year of publication
1997
Pages
96 - 107
Database
ISI
SICI code
0021-9991(1997)134:1<96:DTBFSE>2.0.ZU;2-O
Abstract
We present a general technique for constructing nonlocal transparent b oundary conditions for one-dimensional Schrodinger-type equations. Our method supplies boundary conditions for the theta-family of implicit one-step discretizations of Schrodinger's equation in time. The use of Mikusinski's operator approach in time avoids direct and inverse tran sforms between time and frequency domains and thus implements the boun dary conditions in a direct manner. (C) 1997 Academic Press.