Corrections to Thomas-Fermi Densities at Turning Points and Beyond

Corrections to Thomas-Fermi densities at turning points and beyond.

Uniform semiclassical approximations for the number and kinetic-energy densities are derived for many noninteracting fermions in one-dimensional potentials with two turning points. The resulting simple, closed-form expressions contain the leading corrections to Thomas-Fermi theory, involve neither sums nor derivatives, are spatially uniform approximations, and are exceedingly accurate.

Modified Weizsäcker Corrections in Thomas- Fermi Theories

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

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...

Radiative Corrections to Fermi Interactions

must be applied to discover just what happens in this case, and how the extension is to be made into the unphysical region. Because of the small numerical value of the constant coefficients of higher order terms in the HeisenbergKuler Lagrangian density, these efI'ects are too small to be susceptible to experimental test. 4 The primary importance of our investigation is to point out theoretical...