Bounding the ground-state energy of a many-body system with the differential method
Nuclear Theory
2009-11-11 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
This paper promotes the differential method as a new fruitful strategy for estimating a ground-state energy of a many-body system. The case of an arbitrary number of attractive Coulombian particles is specifically studied and we make some favorable comparison of the differential method to the existing approaches that rely on variational principles. A bird's-eye view of the treatment of more general interactions is also given.
Keywords
Cite
@article{arxiv.nucl-th/0506069,
title = {Bounding the ground-state energy of a many-body system with the differential method},
author = {Amaury Mouchet},
journal= {arXiv preprint arXiv:nucl-th/0506069},
year = {2009}
}
Comments
version 1->2 (main revisions): subsection 2.2, equation (18), footnote 6 have been added