Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems

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dc.creatorLoris, I.
dc.creatorSasaki, R.
dc.date2003-08-07
dc.date2003-09-10
dc.date.accessioned2026-07-07T10:49:42Z
dc.date.available2026-07-07T10:49:42Z
dc.descriptionAn 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.
dc.descriptionLaTeX2e 37 pages, references added, typo corrected, a few paragraphs added
dc.identifierhttps://arxiv.org/abs/hep-th/0308052
dc.identifierhttp://arxiv.org/abs/hep-th/0308052
dc.identifierJ.Phys.A37:211-238,2004
dc.identifierdoi:10.1088/0305-4470/37/1/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184308
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleQuantum & Classical Eigenfunctions in Calogero & Sutherland Systems
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