The 3-dimensional Fourier grid Hamiltonian method
Computational Physics
2009-10-30 v1
Abstract
A method to compute the bound state eigenvalues and eigenfunctions of a Schr\"{o}dinger equation or a spinless Salpeter equation with central interaction is presented. This method is the generalization to the three-dimensional case of the Fourier grid Hamiltonian method for one-dimensional Schr\"{o}dinger 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 non-local interactions.
Cite
@article{arxiv.physics/9711019,
title = {The 3-dimensional Fourier grid Hamiltonian method},
author = {F. Brau and C. Semay},
journal= {arXiv preprint arXiv:physics/9711019},
year = {2009}
}
Comments
13 pages, 1 figure. RevTeX file. To appear in J. Comput. Phys