HIGHER-ORDER UNITARY INTEGRATORS FOR THE SCHRODINGER-EQUATION

Authors
FRAUENKRON H GRASSBERGER P
Citation
H. Frauenkron et P. Grassberger, HIGHER-ORDER UNITARY INTEGRATORS FOR THE SCHRODINGER-EQUATION, International journal of modern physics C, 5(1), 1994, pp. 37-45
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
5
Issue
1
Year of publication
1994
Pages
37 - 45
Database
ISI
SICI code
0129-1831(1994)5:1<37:HUIFTS>2.0.ZU;2-C
Abstract
For classical Hamiltonian dynamics, much progress has recently been ma de in manifestly symplectic integrators. In this work some of these in tegrators will be generalized to the Schrodinger equation. There they correspond to algorithms which preserve unitarity and time reversal in variance exactly. In particular, we apply them to the one-dimensional harmonic and anharmonic oscillators. The accuracies of the three diffe rent algorithms are compared.