paper

On uncertainty relations in noncommutative quantum mechanics

arXiv:hep-th/0208162 · doi:10.1016/S0370-2693(02)02731-4

Abstract

We discuss the uncertainty relations in quantum mechanics on noncommutative plane. In particular, we show that, for a given state at most one out of three basic nontrivial uncertainty relations can be saturated. We consider also in some detail the case of angular momentum eigenstates.

8 pages, revised version, few references added

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