Second quantization of the elliptic Calogero-Sutherland model
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We use loop group techniques to construct a quantum field theory model of anyons on a circle and at finite temperature. We find an anyon Hamiltonian providing a second quantization of the elliptic Calogero-Sutherland model. This allows us to prove a remarkable identity which is a starting point for an algorithm to construct eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland Hamiltonian (this algorithm is elaborated elsewhere). This paper contains a detailed introduction, technical details and proofs.
Cite
@article{arxiv.math-ph/0102005,
title = {Second quantization of the elliptic Calogero-Sutherland model},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0102005},
year = {2009}
}
Comments
36 pages