# Regensburg 2002 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

# DY: Dynamik und Statistische Physik

## DY 46: Poster

### DY 46.8: Poster

### Donnerstag, 14. März 2002, 15:30–18:00, D

**A relation between classical and quantum particle systems** — •Klaus Morawetz — Max-Planck-Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany

An exact correspondence is established between a *N*-body classical
interacting system and a *N*−1-body quantum system with respect to the
partition function. The resulting hermitian quantum-potential is a
*N*−1-body
one. Inversely the Kelbg potential is reproduced which describes
quantum systems at a quasi-classical level.
The found correspondence between classical and quantum systems allows
also to approximate dense classical many–body systems
by lower order quantum perturbation theory replacing Planck’s constant
properly by temperature and density dependent expressions. As an
example the dynamical behavior of an one - component plasma is well
reproduced concerning the formation of
correlation energy after a disturbance utilizing solely the
analytical quantum - Born result for dense degenerated Fermi systems. As
a practical guide the quantum - Bruckner parameter *r*_{s} has been replaced
by
the classical plasma parameter Γ as *r*_{s}≈0.3 Γ^{3/2}.