We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Padé-Hankel method, numerical integration, power series with Padé and Hermite-Padé approximants ...

In this work, we re-examine the Thomas-Fermi (TF) formalism as an approach to the calculation of atomic binding energies. We focus on the concept of electron density as the central magnitude, and the way in which the ...

We prove that in Thomas-Fermi-Dirac-von Weizsacker theory, a nucleus of charge Z>0 can bind at most Z+C electrons, where C is a universal constant. This result is obtained through a comparison with Thomas-Fermi theory ...

In this work, the Lieb-Thirring kinetic energy bound is numerically examined for a variety of systems: the hydrogen-like atoms, neutral atoms, isoelectronic series of atomic ions, the Hooke's atom and some small molecules. ...

We observe experimentally a deviation of the radius of a Bose-Einstein condensate from the standard Thomas-Fermi prediction, after free expansion, as a function of temperature. A modified Hartree-Fock model is used to ...

In the present dissertation, some methods used in electronic structure calculations are discussed together with examples of applications. In Chapter 1, we start with the Hartree-Fock-Roothaan method deducing the equations ...