Explicit computations of low lying eigenfunctions for the quantum trigonometric 
Calogero-Sutherland model related to the exceptional algebra E7

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

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Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E₇

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Perelomov, A.M.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fernandez Nunez, J., Garcia Fuertes, W., & Perelomov, A. (2006). Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E₇.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4C30-0

Abstract

In the previous paper math-ph/0507015 we have studied the characters and Clebsch-Gordan series for the exceptional Lie algebra E7 by relating them to the quantum trigonometric Calogero-Sutherland Hamiltonian with coupling constant K=1. Now we extend that approach to the case of general K.