Email this article On the Question of the Existence of Two-Dimensional Multi-Electron Atoms
- Authors: Skobelev V.V.1
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Affiliations:
- Moscow Polytechnic University
- Issue: Vol 61, No 7 (2018)
- Pages: 1294-1298
- Section: Elementary Particle Physics and Field Theory
- URL: https://bakhtiniada.ru/1064-8887/article/view/240773
- DOI: https://doi.org/10.1007/s11182-018-1532-1
- ID: 240773
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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.
About the authors
V. V. Skobelev
Moscow Polytechnic University
Author for correspondence.
Email: v.skobelev@inbox.ru
Russian Federation, Moscow
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