Physics – Mathematical Physics
Scientific paper
2004-06-29
Physics
Mathematical Physics
22 pages, 1 figure
Scientific paper
We re-express the quantum Calogero-Sutherland model for the Lie algebra $E_6$ and the particular value of the coupling constant $\kappa=1$ 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.
Fernández-Núñez José
Garcia-Fuertes W.
Perelomov A. M.
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