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25 April 2024

» arxiv » math-ph/0305012

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Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie Algebra $D_4$
J. Fernández Nú~nez ; W. García Fuertes ; A.M. Perelomov ;
Date:	7 May 2003
Subject:	Mathematical Physics; Exactly Solvable and Integrable Systems \| math-ph math.MP nlin.SI
Abstract:	We express the Hamiltonian of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra $D_4$ in terms of a set of Weyl-invariant variables, namely, the characters of the fundamental representations of the Lie algebra. This parametrization allows us to solve for the energy eigenfunctions of the theory and to study properties of the system of orthogonal polynomials associated to them such as recurrence relations and generating functions.
Source:	arXiv, math-ph/0305012
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