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Numerical Solution of the Thomas–Fermi Equation for the Centrally Symmetric Atom

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Abstract

The computational aspects are analyzed of the Thomas–Fermi equation for a spherically symmetric and electrically neutral atom of finite size that is part of a solid. The limits are identified of the shooting method as a tool for solving a boundary-value problem for the equation. With an iterative method and the sweep method used in combination, a narrow parameter range is found in which the iterative process exhibits deterministic chaos.

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Authors and Affiliations

  1. Institute of Molecular Electronics and the Mikron Fabrication Plant, Moscow, Russia

    N. A. Zaitsev, I. V. Matyushkin & D. V. Shamonov

Authors
  1. N. A. Zaitsev
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  2. I. V. Matyushkin
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  3. D. V. Shamonov
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Zaitsev, N.A., Matyushkin, I.V. & Shamonov, D.V. Numerical Solution of the Thomas–Fermi Equation for the Centrally Symmetric Atom. Russian Microelectronics 33, 303–309 (2004). https://doi.org/10.1023/B:RUMI.0000043047.02416.47

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  • DOI: https://doi.org/10.1023/B:RUMI.0000043047.02416.47

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