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

J. Fernandez Nunez, W. Garcia Fuertes, A. M. Perelomov

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 numbe…