Mapping the Calogero model on the anyon model

被引：9

作者：

Ouvry, Stephane ^{[1
]}

Polychronakos, Alexios P. ^{[2
]}

机构：

[1] Univ Paris Saclay, Univ Paris Sud, CNRS, LPTMS, F-91405 Orsay, France

[2] CUNY City Coll, Dept Phys, New York, NY 10038 USA

来源：

NUCLEAR PHYSICS B | 2018年 / 936卷

基金：

美国国家科学基金会;

关键词：

INTEGRABLE SYSTEMS; FRACTIONAL STATISTICS; EXPLICIT SOLUTION; MAGNETIC-FIELD; ONE-DIMENSION; LIE-ALGEBRAS; PARTICLES; EQUATION; STATE;

D O I：

10.1016/j.nuclphysb.2018.09.011

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We explicitly map the N-body one dimensional Calogero eigenstates in a harmonic well to the lowest Landau level sector of N-body eigenstates of the two dimensional anyon model in a harmonic well. The mapping is achieved in terms of a convolution kernel that uses as input the scattering eigenstates of the free Calogero model on the infinite line, which are obtained in an operator formulation. (C) 2018 The Author(s). Published by Elsevier B.V.

引用

页码：189 / 205

页数：17

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