$Z_3$-graded Symmetries in Quantum Mechanics

Details $Z_3$-graded Symmetries in Quantum Mechanics $Z_3$-graded Symmetries in Quantum Mechanics

2003-03-26

arxiv.org/abs/quant-ph/0303160v2

Physics

Quantum Physics

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

Scientific paper

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 $N$.

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