The Thomas-Fermi atom in a strong magnetic field - The weak ionization limit

Details The Thomas-Fermi atom in a strong magnetic field - The weak ionization limit The Thomas-Fermi atom in a strong magnetic field - The weak ionization limit

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phla..100..499d&link_type=abstract

Physics Letters (ISSN 0375-9601), vol. 100A, Feb. 27, 1984, p. 499-502.

Physics

2

Atomic Theory, Ionization Potentials, Neutron Stars, Stellar Magnetic Fields, Thomas-Fermi Model, Nuclear Binding Energy, Power Series, Pulsars

Scientific paper

The energy characteristics of a Thomas-Fermi atom of arbitrary ionization in a strong magnetic field are investigated theoretically, applying the statistical theory of Kadomtsev (1970) and the solutions of Dmitrieva and Plindov (1979) to the case where the quantity q = (1 - N/Z), with N being the number of electrons and Z the nuclear charge, is much less than 1. The binding energy, radius, and chemical potential of the atom are obtained as a power series in q(1/3) and ln q. The first expansion coefficients are estimated; numerical calculations are performed for different values of q; and good agreement with exact solutions is demonstrated in a table for q between zero and 0.2.

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