On the concepts of radial and angular kinetic energies

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 wavefunction 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.

10 pages, 2 figures, accepted by Phys. Rev. A

Cited by in corpus (5)

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• Dimensional enhancement of kinetic energies
• Phase Spaces, Parity Operators, and the Born-Jordan Distribution
• The Localization of $s$-Wave and Quantum Effective Potential of a Quasi-Free Particle with Position-Dependent Mass
• The Angular Momentum Dilemma and Born-Jordan Quantization