$Z_3$-graded Symmetries in Quantum Mechanics

Abstract

In this paper we consider $Z_3$-graded topological symmetries (TSs) in one dimensional quantum mechanics. We give a classification of one dimensional quantum systems possessing these symmetries and show that different classes correspond to a positive integer $N$.

9 pages. To appear in Int. J. Mod. Phys. A. Page style and minor typos corrected