Email this article Fractal generalization of Thomas–Fermi model
- Authors: Rekhviashvili S.S.1, Sokurov A.A.1
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Affiliations:
- Institute of Applied Mathematics and Automation
- Issue: Vol 117, No 5 (2016)
- Pages: 423-425
- Section: Theory of Metals
- URL: https://bakhtiniada.ru/0031-918X/article/view/166727
- DOI: https://doi.org/10.1134/S0031918X1605015X
- ID: 166727
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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.
About the authors
S. Sh. Rekhviashvili
Institute of Applied Mathematics and Automation
Author for correspondence.
Email: rsergo@mail.ru
Russian Federation, ul. Shortanova 89a, Nalchik, 360000
A. A. Sokurov
Institute of Applied Mathematics and Automation
Email: rsergo@mail.ru
Russian Federation, ul. Shortanova 89a, Nalchik, 360000
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