2003/06/30 by Alexey Golovnev, A. V. Golovnev, Л. В. Прохоров +1
Mathematics · Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #advanced mathematical theories #quant-ph
paper · pdf · doi:10.1088/0305-4470/37/7/017
published as J.Phys.A37:2765-2775,2004 · published version; phase space structure discussion added
openalex publication_date 2004/02/04 · arxiv created 2004/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.