Soviet Physics Journal

, Volume 11, Issue 5, pp 17–19 | Cite as

Equation for the effective potential of an atom with the oscillation correction

  • O. V. Troshin


The equation for the effective potential of an atom in the Thomas-Fermi model is considered. An equation is obtained for the oscillation correction to the potential, due to the nonanalytic dependence of the electron density on Planck's constant ħ. The equation for the exchange and quantum corrections to the potential within the framework of the approximations discussed agrees with the equation of Kompaneets and Pavlovskii. The exchange, quantum, and oscillation corrections to the radial density of the atomic electrons are compared.


Effective Potential Quantum Correction Atomic Electron Radial Density Oscillation Correction 
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  1. 1.
    L. H. Thomas, Proc. Camb. Phil. Soc.,23, 542, 1926; E. Fermi, Zs. f. Phys.,48, 73, 1928.Google Scholar
  2. 2.
    A. S. Kompaneets and E. S. Pavlovskii, ZhETF,31, 427, 1956.Google Scholar
  3. 3.
    D. A. Kirzhnits, ZhETF,32, 115, 1957.Google Scholar
  4. 4.
    H. M. Schey and J. L. Schwartz, Phys. Rev.,137, A709, 1965.Google Scholar
  5. 5.
    M. J. Stephen and K. Zalewski, Proc. Roy. Soc., London,A270, 435, 1962.Google Scholar
  6. 6.
    O. V. Troshin, Izv. VUZ, Fizika [Soviet Physics Journal], no. 4, 56, 1968.Google Scholar
  7. 7.
    O. V. Troshin, Uch. zap. Ural'skogo un-ta, ser. fiz., no. 1, 119, 1965.Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • O. V. Troshin
    • 1
  1. 1.Gor'kii Ural State UniversityUSSR

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