High-density expansions of the relativistic Thomas-Fermi equation

Physics – Atomic Physics

Scientific paper

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Differential Equations, Relativistic Theory, Thomas-Fermi Model, Atomic Physics, Coulomb Collisions, Electron Distribution, Nuclear Astrophysics

Scientific paper

Analytic solution of the relativistic Thomas-Fermi differential equation for the description of electronic distribution in matter system at high density is found in terms of expansions in two independent parameters. One of the parameters is related inversely to the density of the matter system, and the other to the charge of the atomic nucleus. The solution is applicable to and of great practical value to the study of dense matter encountered in astrophysics.

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