dorsal/arxiv
View SchemaInstantaneous versus non-instantaneous approach to relativistic ionization of atomic hydrogen by electron impact
| Authors | S. Taj, B. Manaut, A. Makhoute, Y. Attaourti |
|---|---|
| Categories | |
| ArXiv ID | physics/0510020 |
| URL | https://arxiv.org/abs/physics/0510020 |
| Journal | CHINESE JOURNAL OF PHYSICS VOL. 48 , NO. 2 197-211 (2010). |
Abstract
We present a theoretical model for atomic hydrogen ionization by electron impact in the instantaneous approximation and the more accurate non-instantaneous approach using the methods of Quantum Electrodynamics, for the binary coplanar and the coplanar asymmetric geometries. All electrons are described by plane wave functions in the coplanar binary geometry but in the asymmetric geometry the ejected electron is described by a Sommerfeld-Maue wave function. It is shown that the two models give the same results in the non relativistic limit for the binary coplanar geometry where the interactions can be treated as instantaneous. However, this is no longer true for the relativistic case where one has to take into account both the instantaneous interaction and the radiation interaction. These results are obtained in the first order of perturbation theory.
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"abstract": "We present a theoretical model for atomic hydrogen ionization by electron\nimpact in the instantaneous approximation and the more accurate\nnon-instantaneous approach using the methods of Quantum Electrodynamics, for\nthe binary coplanar and the coplanar asymmetric geometries. All electrons are\ndescribed by plane wave functions in the coplanar binary geometry but in the\nasymmetric geometry the ejected electron is described by a Sommerfeld-Maue wave\nfunction. It is shown that the two models give the same results in the non\nrelativistic limit for the binary coplanar geometry where the interactions can\nbe treated as instantaneous. However, this is no longer true for the\nrelativistic case where one has to take into account both the instantaneous\ninteraction and the radiation interaction. These results are obtained in the\nfirst order of perturbation theory.",
"arxiv_id": "physics/0510020",
"authors": [
"S. Taj",
"B. Manaut",
"A. Makhoute",
"Y. Attaourti"
],
"categories": [
"physics.atom-ph"
],
"journal_ref": "CHINESE JOURNAL OF PHYSICS VOL. 48 , NO. 2 197-211 (2010).",
"title": "Instantaneous versus non-instantaneous approach to relativistic ionization of atomic hydrogen by electron impact",
"url": "https://arxiv.org/abs/physics/0510020"
},
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