Novel classical ground state of a many body system in arbitrary dimensions
Condensed Matter
2009-10-31 v2 High Energy Physics - Theory
Abstract
The classical ground state of a D- dimensional many body system with two and three body interactions is studied as a function of the strength of the three body interaction. We prove exactly that beyond a critical strength of the three body interaction, the classical ground state of the system is one in which all the particles are on a line. The positions of the particles in this string configuration are uniquely determined by the zeros of the Hermite polynomials.
Keywords
Cite
@article{arxiv.cond-mat/9802302,
title = {Novel classical ground state of a many body system in arbitrary dimensions},
author = {G. Date and Pijush K. Ghosh and M. V. N. Murthy},
journal= {arXiv preprint arXiv:cond-mat/9802302},
year = {2009}
}
Comments
4 pages, RevTeX, no figure; version to appear in Physical Review Letters