Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
Mathematical Physics
2009-11-11 v1 math.MP
Representation Theory
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.
Keywords
Cite
@article{arxiv.math-ph/0507015,
title = {Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7},
author = {J. Fernandez Nunez and W. Garcia Fuertes and A. M. Perelomov},
journal= {arXiv preprint arXiv:math-ph/0507015},
year = {2009}
}
Comments
37 pages, 1 figure