Chern-Simons particles with nonstandard gravitational interaction

The model of nonrelativistic particles coupled to nonstandard (2 + 1)-gravi ty is extended to include Abelian or non-Abelian charges coupled to Chern-S imons gauge fields. Equivalently, the model may be viewed as describing the (Abelian or non-Abelian) anyonic dynamics of Chern-Simons particles couple d, in a reparameterization invariant way, to a translational Chern-Simons a ction. The quantum 2-body problem is described by a nonstandard Schrodinger equation with a noninteger angular momentum depending on energy as well as particle charges. Some numerical results describing the modification of th e energy levels by these charges in the confined regime are presented. The modification involves a shift as well as splitting of the levels.