Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra E6

Abstract

The quantum trigonometric Calogero-Sutherland models related to Lie algebras admit a parametrization in which the dynamical variables are the characters of the fundamental representations of the algebra. We develop here this approach for the case of the exceptional Lie algebra E6.

17 pages, no figures

References in corpus (6)

• Quantum Calogero-Moser Models: Integrability for all Root Systems
• Explicit solution of the quantum three-body Calogero-Sutherland model
• An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model
• Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
• Irreducible characters and Clebsch-Gordan series for the exceptional algebra $E_6$: an approach through the quantum Calogero-Sutherland model
• Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie Algebra $D_4$

Cited by in corpus (2)

• On an approach for computing the generating functions of the characters of simple Lie algebras
• Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7