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Geometry, commutation relations and the quantum fictitious force

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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 Schrödinger equation of an s-wave.

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Authors and Affiliations

  1. Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, Germany, , , , , , DE

    J. Botero, M.A. Cirone, J.P. Dahl, F. Straub & W.P. Schleich

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  1. J. Botero
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  2. M.A. Cirone
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  3. J.P. Dahl
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  4. F. Straub
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  5. W.P. Schleich
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Received: 6 August 2002 / Revised version: 30 October 2002 / Published online: 26 February 2003

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ID="*"Corresponding author. Fax: +49-731/502-3086, E-mail: markus.cirone@physik.uni-ulm.de

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Botero, J., Cirone, M., Dahl, J. et al. Geometry, commutation relations and the quantum fictitious force . Appl Phys B 76, 129–133 (2003). https://doi.org/10.1007/s00340-003-1113-y

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  • DOI: https://doi.org/10.1007/s00340-003-1113-y

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