Compact, orthogonal, and complete basis sets for solving the Schrodinger equation
Strongly Correlated Electrons
2007-05-23 v2 Materials Science
Abstract
We present a new type of basis set which is local, compact, and orthogonal. The basis functions, called orthlets, are centered at the sites of a lattice and are specifically adapted to represent the system being studied. The adaptability includes the ability to have singular behavior within an orthlet, allowing a single orthlet to represent a function in the vicinity of a singularity.
Cite
@article{arxiv.cond-mat/9808293,
title = {Compact, orthogonal, and complete basis sets for solving the Schrodinger equation},
author = {Steven R. White},
journal= {arXiv preprint arXiv:cond-mat/9808293},
year = {2007}
}
Comments
This version has some typos corrected in the formulas for the shape functions. 4 pages, 3 encapsulated figures