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Fractal generalization of Thomas–Fermi model

  • Theory of Metals
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Abstract

The Thomas–Fermi model is developed for a multielectron neutral atom at an arbitrary metric dimension of the electron cloud. It has been shown that the electron cloud with the reduced dimension should be located in the close vicinity of the nucleus. At a metric dimension of the electron cloud of 2, the differential equation of the model admits an analytical solution. In this case, the screening parameter does not depend on the charge of the nucleus.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, ul. Shortanova 89a, Nalchik, 360000, Russia

    S. Sh. Rekhviashvili & A. A. Sokurov

Authors
  1. S. Sh. Rekhviashvili
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  2. A. A. Sokurov
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Correspondence to S. Sh. Rekhviashvili.

Additional information

Original Russian Text © S.Sh. Rekhviashvili, A.A. Sokurov, 2016, published in Fizika Metallov i Metallovedenie, 2016, Vol. 117, No. 5, pp. 439–441.

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Rekhviashvili, S.S., Sokurov, A.A. Fractal generalization of Thomas–Fermi model. Phys. Metals Metallogr. 117, 423–425 (2016). https://doi.org/10.1134/S0031918X1605015X

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  • DOI: https://doi.org/10.1134/S0031918X1605015X

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