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Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E7

J. Fernandez Nunez·W. Garcia Fuertes·A. M. Perelomov
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Abstract

In the previous paper math-ph/0507015 we have studied the characters and Clebsch-Gordan series for the exceptional Lie algebra E7 by relating them to the quantum trigonometric Calogero-Sutherland Hamiltonian with coupling constant K=1. Now we extend that approach to the case of general K.

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J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov. 2006-04-25. Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E7. https://arxiv.org/abs/math-ph/0604062

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