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

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

2009-06-12

arxiv.org/abs/0906.2300v1

Physics

Mathematical Physics

Scientific paper

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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