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Uncertainty relations in curved spaces

A V Golovnev et al 2004 J. Phys. A: Math. Gen. 37 2765-2775   doi: 10.1088/0305-4470/37/7/017  Help

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A V Golovnev and L V Prokhorov
Saint Petersburg State University, Saint Petersburg, Russia
E-mail: alex@witch.dorms.spbu.ru and lev.prokhorov@pobox.spbu.ru

Abstract. 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 number: 03.65.−w

Print publication: Issue 7 (20 February 2004)
Received 6 October 2003
Published 4 February 2004

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