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 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.
- Publication:
-
Physical Review A
- Pub Date:
- February 2002
- DOI:
- arXiv:
- arXiv:quant-ph/0110134
- Bibcode:
- 2002PhRvA..65b2109D
- Keywords:
-
- 03.65.Ge;
- 31.10.+z;
- 42.25.Bs;
- 03.65.Sq;
- Solutions of wave equations: bound states;
- Theory of electronic structure electronic transitions and chemical binding;
- Wave propagation transmission and absorption;
- Semiclassical theories and applications;
- Quantum Physics
- E-Print:
- 10 pages, 2 figures, accepted by Phys. Rev. A