Uncertainty relations in curved spaces

Details Uncertainty relations in curved spaces Uncertainty relations in curved spaces

2003-06-11

arxiv.org/abs/quant-ph/0306080v3

J.Phys.A37:2765-2775,2004

Physics

Quantum Physics

published version; phase space structure discussion added

Scientific paper

10.1088/0305-4470/37/7/017

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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