The Calogero Model: Integrable Structures and Orthogonal Basis

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dc.creatorWadati, Miki
dc.creatorUjino, Hideaki
dc.date1997-06-16
dc.date.accessioned2026-07-07T09:11:51Z
dc.date.available2026-07-07T09:11:51Z
dc.descriptionIntegrability, algebraic structures and orthogonal basis of the Calogero model are studied by the quantum Lax and Dunkl operator formulations. The commutator algebra among operators including conserved operators and creation-annihilation operators has the structure of the W-algebra. Through an algebraic construction of the simultaneous eigenfunctions of all the commuting conserved operators, we show that the Hi-Jack (hidden-Jack) polynomials, which are an multi-variable generalization of the Hermite polynomials, form the orthogonal basis.
dc.description14pages, LaTeX file using fleqn.sty, to appear in the proceedings of the Workshop on the Calogero-Moser-Sutherland models in the CRM Series in Mathematical Physics (Springer-Verlag)
dc.identifierhttps://arxiv.org/abs/cond-mat/9706156
dc.identifierhttp://arxiv.org/abs/cond-mat/9706156
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151826
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe Calogero Model: Integrable Structures and Orthogonal Basis
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