THE 3-DIMENSIONAL FOURIER GRID HAMILTONIAN METHOD

Authors
Citation
F. Brau et C. Semay, THE 3-DIMENSIONAL FOURIER GRID HAMILTONIAN METHOD, Journal of computational physics, 139(1), 1998, pp. 127-136
Citations number
8
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
ISSN journal
00219991
Volume
139
Issue
1
Year of publication
1998
Pages
127 - 136
Database
ISI
SICI code
0021-9991(1998)139:1<127:T3FGHM>2.0.ZU;2-6
Abstract
A method to compute the bound state eigenvalues and eigenfunctions of a Schrodinger equation or a spinless Salpeter equation with central in teraction is presented. This method is the generalization to the three -dimensional case of the Fourier grid Hamiltonian method for a one-dim ensional Schrodinger equation. It requires only the evaluation of the potential at equally spaced grid points and yields the radial part of the eigenfunctions at the same grid points. It can be easily extended to the case of coupled channel equations and to the case of nonlocal i nteractions. (C) 1998 Academic Press.