The semiclassical Thomas–Fermi method of calculating the electrostatic field of a multielectron atom is modified for effectively one-dimensional atoms. The main Thomas–Fermi equation and the dimensionless, one-dimensional Thomas–Fermi equation are obtained, and it is shown that within the framework of the method “one-dimensional” neutral multielectron atoms cannot exist.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 32–36, September, 2017.
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Skobelev, V.V. On the Question of the Existence of One-Dimensional Multielectron Atoms. Russ Phys J 60, 1495–1500 (2018). https://doi.org/10.1007/s11182-018-1241-9
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DOI: https://doi.org/10.1007/s11182-018-1241-9