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Journal of Chemical Education

Illustrating the problem described by Heisenberg's uncertainty principle

Ronald C. Cosser

Published Apr 1, 1982• 0 citations
Publisher

Abstract

A simple overhead projector demonstration illustrating Heisenberg's Uncertainty Principle.
DOI
10.1021/ed059p300

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The description of a quantum system in terms of angle variables may violate Heisenberg uncertainty principle. The familiar case is the azimutal angle ϕ\phiϕ and its canonical moment LzL_zLz​. Although this problem was foreseen almost a century ago, up to the present days there are no criteria to precisely characterize the violation. In this paper, we present a theorem which provides necessary and sufficient conditions for the violation of the Heisenberg uncertainty principle. We illustrate our results with analytical examples.