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On the Question of the Existence of Two-Dimensional Multi-Electron Atoms

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The semiclassical Thomas–Fermi method is extended to the case of two-dimensional (planar) multi-electron atoms. It is shown that within the framework of this model a two-dimensional multi-electron atom cannot exist,… Click to show full abstract

The semiclassical Thomas–Fermi method is extended to the case of two-dimensional (planar) multi-electron atoms. It is shown that within the framework of this model a two-dimensional multi-electron atom cannot exist, due to the impossibility of fulfilling the physical asymptotic limit φ(r)|r→0 → (Ze)/r of the solution of the corresponding two-dimensional Thomas–Fermi equation.

Keywords: multi electron; electron atoms; dimensional multi; two dimensional

Journal Title: Russian Physics Journal
Year Published: 2018

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