Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E 7

Details Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E 7 Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E 7

Feb 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008tmp...154..240f&link_type=abstract

Theoretical and Mathematical Physics, Volume 154, Issue 2, pp.240-249

Mathematics

Representation Theory

1

Integrable System, Calogero-Sutherland Model, Exceptional Lie Algebra, Representation Theory, Orthogonal Polynomials

Scientific paper

In a previous paper, we studied the characters and Clebsch-Gordan series
for the exceptional Lie algebra E7 by relating them to the
quantum trigonometric Calogero-Sutherland Hamiltonian with the coupling
constant κ = 1. We now extend that approach to the case of an
arbitrary coupling constant.

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