English

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

Mathematical Physics 2007-05-23 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0604062,
  title  = {Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E7},
  author = {J. Fernandez Nunez and W. Garcia Fuertes and A. M. Perelomov},
  journal= {arXiv preprint arXiv:math-ph/0604062},
  year   = {2007}
}