Action-angle variables for dihedral systems on the circle

作者：Lechtenfeld Olaf^*; Nersessian Armen; Yeghikyan Vahagn

来源：Physics Letters A, 2010, 374(46): 4647-4652.

DOI：10.1016/j.physleta.2010.09.047

A nonrelativistic particle on a circle and subject to a cos(-2)(k phi) potential is related to the two-dimensional (dihedral) Coxeter system l(2)(k), for k is an element of N For such 'dihedral systems' we construct the action-angle variables and establish a local equivalence with a free particle on the circle. We perform the quantization of these systems in the action-angle variables and discuss the supersymmetric extension of this procedure. By allowing radial motion one obtains related two-dimensional systems, including A(2). BC2 and G(2) three-particle rational Calogero models on R, which we also analyze..

• 出版日期2010-10-18