Novel correlations in two dimensions: Some exact solutions
Condensed Matter
2009-10-28 v1 High Energy Physics - Theory
Abstract
We construct a new many-body Hamiltonian with two- and three-body interactions in two space dimensions and obtain its exact many-body ground state for an arbitrary number of particles. This ground state has a novel pairwise correlation. A class of exact solutions for the excited states is also found. These excited states display an energy spectrum similar to the Calogero-Sutherland model in one dimension. The model reduces to an analog of the well-known trigonometric Sutherland model when projected on to a circular ring.
Cite
@article{arxiv.cond-mat/9603155,
title = {Novel correlations in two dimensions: Some exact solutions},
author = {M. V. N. Murthy and R. K. Bhaduri and Diptiman Sen},
journal= {arXiv preprint arXiv:cond-mat/9603155},
year = {2009}
}
Comments
8 pages, REVTEX