An explicit solution of the (quantum) elliptic Calogero-Sutherland model
数学物理
2016-11-23 v3 高能物理 - 理论
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) v2 and v3: minor corrections