dorsal/arxiv
View SchemaAharonov-Bohm scattering of charged particles and neutral atoms: the role of absorption
| Authors | Juergen Audretsch, Vladimir Skarzhinsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901066 |
| URL | https://arxiv.org/abs/quant-ph/9901066 |
| DOI | 10.1103/PhysRevA.60.1854 |
Abstract
The Aharonov-Bohm scattering of charged particles by the magnetic field of an infinitely long and infinitely thin solenoid (magnetic string) in an absorbing medium is studied. We discuss the partial-wave approach to this problem and show that standard partial-wave method can be adjusted to this case. The effect of absorption leads to oscillations of the AB cross section. Based on this we investigate the scattering of neutral atoms with induced electric dipole moments by a charge wire of finite radius which is placed in an uniform magnetic field. The physical realistic and practically important case that all atoms which collide with the wire are totally absorbed at its surface, is studied in detail. The dominating terms of the scattering amplitude are evaluated analytically for different physical constellations. The rest terms are written in a form suitable for a numerical computation. We show that if the magnetic field is absent, the absorbing charged wire causes oscillations of the cross section. In the presence of the magnetic field the cross section increases and the dominating Aharonov--Bohm peak appears in the forward direction, suppressing the oscillations.
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"abstract": "The Aharonov-Bohm scattering of charged particles by the magnetic field of an\ninfinitely long and infinitely thin solenoid (magnetic string) in an absorbing\nmedium is studied. We discuss the partial-wave approach to this problem and\nshow that standard partial-wave method can be adjusted to this case. The effect\nof absorption leads to oscillations of the AB cross section.\n Based on this we investigate the scattering of neutral atoms with induced\nelectric dipole moments by a charge wire of finite radius which is placed in an\nuniform magnetic field. The physical realistic and practically important case\nthat all atoms which collide with the wire are totally absorbed at its surface,\nis studied in detail. The dominating terms of the scattering amplitude are\nevaluated analytically for different physical constellations. The rest terms\nare written in a form suitable for a numerical computation. We show that if the\nmagnetic field is absent, the absorbing charged wire causes oscillations of the\ncross section. In the presence of the magnetic field the cross section\nincreases and the dominating Aharonov--Bohm peak appears in the forward\ndirection, suppressing the oscillations.",
"arxiv_id": "quant-ph/9901066",
"authors": [
"Juergen Audretsch",
"Vladimir Skarzhinsky"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.1854",
"title": "Aharonov-Bohm scattering of charged particles and neutral atoms: the role of absorption",
"url": "https://arxiv.org/abs/quant-ph/9901066"
},
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