Some new solutions to the Schrodinger equation for the trigonometric E8 Calogero-Sutherland problem

2009/06/12 by Nunez, J. Fernandez, Fuertes, W. Garcia, Perelomov, A. M.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0906.2300

Abstract

We provide a list of explicit eigenfunctions of the trigonometric Calogero-Sutherland Hamiltonian associated to the root system of the exceptional Lie algebra E8. The quantum numbers of these solutions correspond to the first and second order weights of the Lie algebra.

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