Some new solutions to the Schrodinger equation for the trigonometric E8 Calogero-Sutherland problem
classification
🧮 math-ph
math.MPnlin.SI
keywords
algebracalogero-sutherlandsolutionstrigonometricassociatedcorrespondeigenfunctionsequation
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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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