Statistical Properties of Fermionic Molecular Dynamics
Nuclear Theory
2009-10-28 v1
Abstract
Statistical properties of Fermionic Molecular Dynamics are studied. It is shown that, although the centroids of the single--particle wave--packets follow classical trajectories in the case of a harmonic oscillator potential, the equilibrium properties of the system are the quantum mechanical ones. A system of weakly interacting fermions as well as of distinguishable particles is found to be ergodic and the time--averaged occupation probabilities approach the quantum canonical ones of Fermi--Dirac and Boltzmann statistics, respectively.
Keywords
Cite
@article{arxiv.nucl-th/9509021,
title = {Statistical Properties of Fermionic Molecular Dynamics},
author = {J. Schnack and H. Feldmeier},
journal= {arXiv preprint arXiv:nucl-th/9509021},
year = {2009}
}
Comments
16 pages, several postscript figures, uses 'epsfig.sty'. More information is available at http://www.gsi.de/~schnack/fmd.html