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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.59: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Semiclassical Local Densities in One-Dimensional Systems — •Jerome Roccia and Matthias Brack — Institut für Theoretische Physik, Universität Regensburg, 93040 Regensburg, Germany

We investigate the local densities for non-interacting fermions in one dimensional potentials at zero temperature. Using the semiclassical Green's function, we study the particle and kinetic-energy densities close to the minimum of the potential. Without any knowledge of individual wave functions, we find a universal behavior as function of the position which depends only on the non periodic trajectories of the system. We give also a simple analytical formula for symmetric potentials.