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25 April 2024

» arxiv » math-ph/0507015

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Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
J. Fernandez Nunez ; W. Garcia Fuertes ; A.M. Perelomov ;
Date:	6 Jul 2005
Subject:	Mathematical Physics; Representation Theory \| math-ph math.MP math.RT
Abstract:	We re-express the quantum Calogero-Sutherland model for the Lie algebra E7 and the particular value of the coupling constant K=1 by using the fundamental irreducible characters of the algebra as dynamical variables. For that, we need to develop a systematic procedure to obtain all the Clebsch-Gordan series required to perform the change of variables. We describe how the resulting quantum Hamiltonian operator can be used to compute more characters and Clebsch-Gordan series for this exceptional algebra.
Source:	arXiv, math-ph/0507015
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