PROJECTS

PRINCIPAL INVESTIGATOR

TOGETHER WITH

PD Dr. Manuel Richter Leibniz-Institut für Festkörper und Werkstofforschung Dresden e. V. PF 27 00 16 D-01171 Dresden +49 (0) 351 4659 360 +49 (0) 351 4659 490 m.richter@ifw-dresden.de

ABSTRACT

The feasibility and precision of Nonrelativistic Current Density Functional Theory depends on the availability of reliable approximations for the energy functional. This functional in turn allows the calculation of the effective scalar and vector potentials in the one-particle Schrödinger equation. For a two-electron system in a homogeneous magnetic field and a parabolic scalar potential the two-electron Schrödinger equation can be solved exactly, and for a certain discrete set of fields even analytically. This provides the exact densities and total energies. Comparison of these exact solutions with the results from approximate energy functionals provides information on their precision independent of experimental difficulties and for the full range of interaction strength from the independent-particle limit to the Wigner limit.