On the Relativistic Thomas-Fermi Atom

Relativistic Thomas-fermi Model at Finite Temperatures

We briefly review the Thomas-Fermi statistical model of atoms in the classical non-relativistic formulation and in the generalised finite-nucleus relativistic formulation. We then discuss the classical generalisation of the model to finite temperatures in the non-relativistic approximation and present a new relativistic model at finite temperatures, investigating how to recover the existing the...

Stability of Relativistic Matter via Thomas–fermi Theory

A Thomas-Fermi-Weizsäcker type theory is constructed, by means of which we are able to give a relatively simple proof of the stability of relativistic matter. Our procedure has the advantage over previous ones in that the critical value of the fine structure constant, α, is raised to 0.77 (recall that the critical value is known to be less than 2.72). When α = 1/137, the largest nuclear charge ...

0 Symmetry Results for Finite - Temperature , Relativistic Thomas - Fermi Equations ∗

In the semi-classical limit the quantum mechanics of a stationary beam of counter-streaming relativistic electrons and ions is described by a nonlinear system of finite-temperature Thomas–Fermi equations. In the high temperature / low density limit these Thomas–Fermi equations reduce to the (semi-)conformal system of Bennett equations discussed earlier by Lebowitz and the author. With the help ...

Scaling in Relativistic Thomas–Fermi Approach for Nuclei

By using the scaling method we derive the virial theorem for the relativistic mean field model of nuclei treated in the Thomas–Fermi approach. The Thomas–Fermi solutions statisfy the stability condition against scaling. We apply the formalism to study the excitation energy of the breathing mode in finite nuclei with several relativistic parameter sets of common use. PACS: 21.60.-n; 24.30.Cz; 21...

Dipole Moments in Thomas-Fermi-Dirac and Thomas-Fermi Theories