Concepts of radial  and angular kinetic energies

Jens Peder Dahl; W.P. Schleich

doi:10.1103/PhysRevA.65.022109

Concepts of radial and angular kinetic energies

Jens Peder Dahl
, W.P. Schleich

Ulm University

Research output: Contribution to journal › Journal article › Research › peer-review

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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.

Original language	English
Article number	022109
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	65
Issue number	2
Pages (from-to)	1-9
ISSN	1050-2947
DOIs	https://doi.org/10.1103/PhysRevA.65.022109
Publication status	Published - 2002

Bibliographical note

Copyright (2002) American Physical Society

Keywords

FUNDAMENTALS
PHASE-SPACE

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Cite this

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AB - 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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