Three-body generalization of the Sutherland model with internal degrees of freedom
Physique Nucléaire Théorique et Physique Mathématique,
Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe,
B-1050 Brussels, Belgium
Accepted: 27 June 1996
A generalized spin Sutherland model including a three-body potential is proposed. The problem is analyzed in terms of three first-order differential-difference operators, obtained by combining SUSYQM supercharges with the elements of the dihedral group D6. Three alternative commuting operators are also introduced.
PACS: 03.65.Fd – Algebraic methods / 02.20.Df – Finite groups / 11.30.Pb – Supersymmetry
© EDP Sciences, 1996