Concepts of radial and angular kinetic energies

Jens Peder Dahl and Wolfgang P. Schleich
Phys. Rev. A 65, 022109 – Published 15 January 2002
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Abstract

We consider a general central-field system in D dimensions and show that the division of the kinetic energy into radial and angular parts proceeds differently in the wave-function picture and the Weyl-Wigner phase-space picture. Thus, the radial and angular kinetic energies are different quantities in the two pictures, containing different physical information, but the relation between them is well defined. We discuss this relation and illustrate its nature by examples referring to a free particle and to a ground-state hydrogen atom.

  • Received 30 August 2001

DOI:https://doi.org/10.1103/PhysRevA.65.022109

©2002 American Physical Society

Authors & Affiliations

Jens Peder Dahl1,2,* and Wolfgang P. Schleich1

  • 1Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany
  • 2Chemical Physics, Department of Chemistry, Technical University of Denmark, DTU 207, DK-2800 Lyngby, Denmark

  • *Electronic address: jpd@kemi.dtu.dk

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Vol. 65, Iss. 2 — February 2002

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