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Uncertainty relations in curved spaces

A V Golovnev and L V Prokhorov

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


PACS

03.65.-w Quantum mechanics

MSC

81T20 Quantum field theory on curved space backgrounds

81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)

81V80 Quantum optics

Subjects

Quantum information and quantum mechanics

Dates

Issue 7 (20 February 2004)

Received 6 October 2003

Published 4 February 2004



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