Some Properties of Motion of Atoms near a Charged Wire

Božena Dorociaková (), Rudolf Olach, Radoslav Chupáč and Pavol Oršanský
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Božena Dorociaková: Department of Applied Mathematics, University of Žilina, 010 26 Žilina, Slovakia
Rudolf Olach: Department of Applied Mathematics, University of Žilina, 010 26 Žilina, Slovakia
Radoslav Chupáč: Department of Applied Mathematics, University of Žilina, 010 26 Žilina, Slovakia
Pavol Oršanský: Department of Applied Mathematics, University of Žilina, 010 26 Žilina, Slovakia

Mathematics, 2023, vol. 11, issue 3, 1-9

Abstract: We are concerned with the classical approach to atomic motions in the vicinity of a wire charged by an oscillating voltage. This mechanism has been proposed to serve for trapping cold neutral atoms. We prove that, under some conditions, the atom must either collide with the wire or escape to infinity in the radial direction. The presented results for the atom–wire problem extend and complement some earlier ones in the literature.

Keywords: oscillating charge; motion of atoms; atom–wire problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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