On q-Deformed Supersymmetric Classical Mechanical Models

Abstract

Based on the idea of quantum groups and paragrassmann variables, we presenta generalization of supersymmetric classical mechanics with a deformation parameter $q=\exp \frac{2\pi i}{k}$ dealing with the $k=3$ case. The coordinates of the $q$-superspace are a commuting parameter $t$ and a paragrassmann variable $\theta$, where . The generator and covariant derivative are obtained, as well as the action for some possible superfields.

No figures, 14 pages, Latex, revised version