Exact solutions of an elliptic Calogero--Sutherland model
High Energy Physics - Theory
2009-10-31 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
A model describing N particles on a line interacting pairwise via an elliptic function potential in the presence of an external field is partially solved in the quantum case in a totally algebraic way. As an example, the ground state and the lowest excitations are calculated explicitly for N=2.
Keywords
Cite
@article{arxiv.hep-th/0006039,
title = {Exact solutions of an elliptic Calogero--Sutherland model},
author = {D. Gomez-Ullate and A. Gonzalez-Lopez and M. A. Rodriguez},
journal= {arXiv preprint arXiv:hep-th/0006039},
year = {2009}
}
Comments
4 pages, 3 figures, typeset with RevTeX 4b3 and AMS-LaTeX