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19 April 2024
 
  » arxiv » hep-th/0308052

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Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
I. Loris ; R. Sasaki ;
Date 7 Aug 2003
Journal J.Phys. A37 (2004) 211-238
Subject High Energy Physics - Theory; Mathematical Physics; Exactly Solvable and Integrable Systems | hep-th cond-mat math-ph math.MP nlin.SI quant-ph
AbstractAn 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.
Source arXiv, hep-th/0308052
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