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Concepts of radial and angular kinetic energies

2001/10/23 by Jens Peder Dahl, Wolfgang P. Schleich · 3 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum Mechanics and Non-Hermitian Physics #Quantum, superfluid, helium dynamics #quant-ph

paper · pdf · doi:10.1103/physreva.65.022109

published as Phys. Rev. A 65, 022109 (2002) · 10 pages, 2 figures, accepted by Phys. Rev. A

arxiv created 2001/10/23 · openalex publication_date 2002/01/15 · arxiv updated 2016/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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