dorsal/arxiv
View SchemaOn the concepts of radial and angular kinetic energies
| Authors | Jens Peder Dahl, Wolfgang P. Schleich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110134 |
| URL | https://arxiv.org/abs/quant-ph/0110134 |
| DOI | 10.1103/PhysRevA.65.022109 |
| Journal | Phys. Rev. A 65, 022109 (2002) |
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.
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"abstract": "We consider a general central-field system in D dimensions and show that the\ndivision of the kinetic energy into radial and angular parts proceeds\ndifferently in the wavefunction picture and the Weyl-Wigner phase-space\npicture. Thus, the radial and angular kinetic energies are different quantities\nin the two pictures, containing different physical information, but the\nrelation between them is well defined. We discuss this relation and illustrate\nits nature by examples referring to a free particle and to a ground-state\nhydrogen atom.",
"arxiv_id": "quant-ph/0110134",
"authors": [
"Jens Peder Dahl",
"Wolfgang P. Schleich"
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"doi": "10.1103/PhysRevA.65.022109",
"journal_ref": "Phys. Rev. A 65, 022109 (2002)",
"title": "On the concepts of radial and angular kinetic energies",
"url": "https://arxiv.org/abs/quant-ph/0110134"
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