Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems

Details Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems

2003-08-07

arxiv.org/abs/hep-th/0308052v2

J.Phys.A37:211-238,2004

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e 37 pages, references added, typo corrected, a few paragraphs added

Scientific paper

10.1088/0305-4470/37/1/015

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.

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