Second quantization of the elliptic Calogero-Sutherland model
数学物理
2009-11-07 v1 高能物理 - 理论
math.MP
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
36 pages