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Thomas-Fermi model of a many-particle oscillator

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

An equation of the Thomas-Fermi type has been obtained and solved numerically for a many-particle oscillator — a system of N electrons in a potential field of a harmonic oscillator. The electron density distribution in the system has been found. An analogous model has been formulated in the theory of atomic nucleus and used to calculate the charge density distribution in40Ca in good agreement with the available experimental data.

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Literature cited

  1. A. V. Glushkov, A. V. Tarchenko, and V. V. Filatov, Abstracts of the 11th All-Union Conference on the Theory of Atoms and Atomic Spectra, Tomsk (1989), p. 113.

  2. L. D. Landau and E. M. Lifshits, Quantum Mechanics, Nauka, Moscow (1973).

    Google Scholar 

  3. N. March and S. Lundquist (eds.), Theory of Inhomogeneous Electron Gas, Plenum Publ., New York (1983).

    Google Scholar 

  4. C. W. Gear, Commun. ACM,14, No. 3, 372 (1971).

    Google Scholar 

  5. H. Bethe, Theory of Nuclear Matter [Russian translation], Mir, Moscow (1974).

    Google Scholar 

  6. M. V. Zverev, É. E. Sapershtein, and V. A. Khodel', Proc. of the 18th Winter School of Leningrad Institute of Nuclear Physics, Leningrad (1983), pp. 203–254.

  7. H. A. Bethe, Phys. Rev.,168, 879 (1968).

    Google Scholar 

  8. J. Nemeth and H. A. Bethe, Nucl. Phys.,A116, 241 (1968).

    Google Scholar 

  9. J. W. Negele, Phys. Rev.,C1, 1260 (1970).

    Google Scholar 

  10. D. Vantherin and D. Brink, Phys. Rev.,C5, 626 (1972).

    Google Scholar 

  11. V. A. Khodel, A. P. Platonov, and E. E. Saperstein, J. Phys. G.,8, 967–978 (1982).

    Google Scholar 

  12. C. Mahoux, The Many Body Problem Jastrow Correlation versus Brueckner Theory, Springer-Verlag, Berlin (1981), pp. 50–68.

    Google Scholar 

  13. D. A. Kirzhits, Field Theory Methods for Many Particle Systems [in Russian], Atomizdat, Moscow (1963).

    Google Scholar 

  14. Yu. N. Shubin, Fiz. Elem. Chastits. At. Yad.,14, 1023 (1974).

    Google Scholar 

  15. P. Gombas, P. Szepfalusy, and E. Magori, Acta Phys. Hung.,7, 251 (1957).

    Google Scholar 

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Additional information

Odessa Hydrometeorological Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 66–72, July, 1992.

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Glushkov, A.V. Thomas-Fermi model of a many-particle oscillator. Russ Phys J 35, 641–646 (1992). https://doi.org/10.1007/BF00559234

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  • DOI: https://doi.org/10.1007/BF00559234

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