Applied Physics B

, Volume 76, Issue 2, pp 129–133 | Cite as

Geometry, commutation relations and the quantum fictitious force

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

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.

PACS: 03.65.-w; 03.75.-b 
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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  • J. Botero
    • 1
  • M.A. Cirone
    • 1
  • J.P. Dahl
    • 1
  • F. Straub
    • 1
  • W.P. Schleich
    • 1
  1. 1.Abteilung für Quantenphysik, Universität Ulm, 89069 Ulm, GermanyDE

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