par Quesne, Christiane
Référence Journal of Physics A: Mathematical and Theoretical, 43, 49, 495203
Publication Publié, 2010-12
Article révisé par les pairs
Résumé : The family of Tremblay-Turbiner-Winternitz (TTW) Hamiltonians Hk on a plane, corresponding to any positive real value of k, is shown to admit another N = 2 supersymmetric extension than that previously introduced by the present author. This new extension is of the same kind as that considered by D'Hoker and Vinet in the study of magnetic monopoles and is characterized by the fact that all the irreducible representations of the corresponding osp(2/2,R) dynamical superalgebra are atypical lowest-weight state ones. The new supersymmetric Hamiltonians may be referred to as chiral super-TTW Hamiltonians, the role of chirality being played here by the fermion number parity operator. © 2010 IOP Publishing Ltd.