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Article overview
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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 | 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. | Source: | arXiv, hep-th/0308052 | Services: | Forum | Review | PDF | Favorites |
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