Algebraic Construction of a New Symmetric Orthogonal Basis for the Calogero Model
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概要
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We demonstrate an algebraic constrttction of ?xll the sinatrltauaeous eigenfunctions of the coo-served operators for the Calogero model. The eigenfunction is a deformation of the syunnaetrizednutnber state (bosonic state) of the N decotrpled qtranturaa harnuonic oscillators. The eigenfunc-tion does not coincide with the Hi-Jack polynotnial, which shows that the conserved operatorsderived from the nttmber operators of the decoupled qtranttrrta harmonic oscillators are alge-braically different frouau those derived by tlae Dunkl operartor fortaattlation.
- 社団法人日本物理学会の論文
- 1998-01-15
著者
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Ujino Hideaki
Department Of Physics Graduate School Of Science University Fo Tokyo
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