Magnus-factorized method for numerical solving the time-dependent Schrodinger equation

Authors
Puzynin, IV Selin, AV Vinitsky, SI
Citation
Iv. Puzynin et al., Magnus-factorized method for numerical solving the time-dependent Schrodinger equation, COMP PHYS C, 126(1-2), 2000, pp. 158-161
Citations number
8
Categorie Soggetti
Physics
Journal title
COMPUTER PHYSICS COMMUNICATIONS
ISSN journal
00104655 → ACNP
Volume
126
Issue
1-2
Year of publication
2000
Pages
158 - 161
Database
ISI
SICI code
0010-4655(200004)126:1-2<158:MMFNST>2.0.ZU;2-L
Abstract
The method of constructing the high-order stable operator-difference scheme s for solving the time-dependent Schrodinger equation are proposed as a gen eralization of the Crank-Nicolson scheme. The schemes are constructed in te rms of the Magnus expansion for the evolution operator. The case of the non -homogeneous equation is also considered. (C) 2000 Elsevier Science B.V. Al l rights reserved.