par Quesne, Christiane
Référence Modern physics letters A, 25, 1, page (15-24)
Publication Publié, 2010-01
Article révisé par les pairs
Résumé : The exchange operator formalism in polar coordinates, previously considered for the CalogeroMarchioroWolfes problem, is generalized to a recently introduced, infinite family of exactly solvable and integrable Hamiltonians Hk, k = 1, 2, 3,⋯, on a plane. The elements of the dihedral group D2k are realized as operators on this plane and used to define some differential-difference operators Dr and Dφ. The latter serve to construct D2k-extended and invariant Hamiltonians Hk, from which the starting Hamiltonians Hk can be retrieved by projection in the D2k identity representation space. © World Scientific Publishing Company.