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Geometry,commutation relations and the quantum fictitious force
Authors:J. Botero  M.A. Cirone  J.P. Dahl  F. Straub  W.P. Schleich
Affiliation:1.Abteilung für Quantenphysik, Universit?t Ulm, 89069 Ulm, Germany,DE
Abstract:
We express the commutation relation between the operators of the momentum and the radial unit vectors in D dimensions in differential and integral form. We connect this commutator with the quantum fictitious potential emerging in the radial Schr?dinger equation of an s-wave. Received: 6 August 2002 / Revised version: 30 October 2002 / Published online: 26 February 2003 RID="*" ID="*"Corresponding author. Fax: +49-731/502-3086, E-mail: markus.cirone@physik.uni-ulm.de
Keywords:PACS: 03.65.-w   03.75.-b
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