Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
High Energy Physics - Theory
2008-11-26 v2 Condensed Matter
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
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.
Cite
@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}
}
Comments
LaTeX2e 37 pages, references added, typo corrected, a few paragraphs added