K. Hikami, SYMMETRY OF THE CALOGERO MODEL CONFINED IN THE HARMONIC POTENTIAL - YANGIAN-ALGEBRA AND W-ALGEBRA, Journal of physics. A, mathematical and general, 28(4), 1995, pp. 131-136
The su(upsilon) Calogero model confined in the harmonic potential is c
onsidered. We show that the model has Yangian symmetry Y(su(upsilon)).
Unifying with the creation-annihilation operators which constitute th
e su(upsilon) loop algebra, we reveal the algebraic structure of this
system. The relation with the energy spectrum is also discussed.