An explicit solution of the (quantum) elliptic Calogero-Sutherland model
Mathematical Physics
2016-11-23 v3 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present explicit formulas for the eigenvalues and eigenfunctions of the elliptic Calogero-Sutherland (eCS) model as formal power series to all orders in the nome of the elliptic functions, for arbitrary values of the (positive) coupling constant and particle number. Our solution gives explicit formulas for an elliptic deformation of the Jack polynomials.
Cite
@article{arxiv.math-ph/0407050,
title = {An explicit solution of the (quantum) elliptic Calogero-Sutherland model},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0407050},
year = {2016}
}
Comments
16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) v2 and v3: minor corrections