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Uncertainty relations in curved spaces

A. V. Golovnev·L. V. Prokhorov
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Abstract

Uncertainty relations for particle motion in curved spaces are discussed. The relations are shown to be topologically invariant. New coordinate system on a sphere appropriate to the problem is proposed. The case of a sphere is considered in details. The investigation can be of interest for string and brane theory, solid state physics (quantum wires) and quantum optics.

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A. V. Golovnev, L. V. Prokhorov. 2004-02-05. Uncertainty relations in curved spaces. https://doi.org/10.1088/0305-4470/37/7/017

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