Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
高能物理 - 理论
2008-11-26 v2 凝聚态物理
数学物理
math.MP
可精确求解与可积系统
量子物理
摘要
An interesting observation was reported by Corrigan-Sasaki that all the frequencies of small oscillations around equilibrium are " quantised" for Calogero and Sutherland (C-S) systems, typical integrable multi-particle dynamics. We present an analytic proof by applying recent results of Loris-Sasaki. Explicit forms of `classical' and quantum eigenfunctions are presented for C-S systems based on any root systems.
引用
@article{arxiv.hep-th/0308052,
title = {Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems},
author = {I. Loris and R. Sasaki},
journal= {arXiv preprint arXiv:hep-th/0308052},
year = {2008}
}
备注
LaTeX2e 37 pages, references added, typo corrected, a few paragraphs added