Some new solutions to the Schrodinger equation for the trigonometric E8 Calogero-Sutherland problem
J. Fernandez Nunez, W. Garcia Fuertes, A.M. Perelomov
TL;DR
This paper presents explicit eigenfunctions for the trigonometric Calogero-Sutherland Hamiltonian related to the E8 Lie algebra, advancing the understanding of its spectral solutions.
Contribution
It provides new explicit solutions for the E8 Calogero-Sutherland problem, linking quantum numbers to Lie algebra weights.
Findings
Explicit eigenfunctions for E8 Calogero-Sutherland Hamiltonian
Quantum numbers correspond to first and second order weights of E8
Advances in spectral analysis of exceptional Lie algebra systems
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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Taxonomy
TopicsAlgebraic and Geometric Analysis · Mathematical functions and polynomials · Algebraic structures and combinatorial models