Berlin 2012 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 2: Statistical Physics (General)

DY 2.5: Vortrag

Montag, 26. März 2012, 10:45–11:00, MA 004

A new method to calculate partition functions — •Klaus Morawetz — Münster University of Applied Sciences, Stegerwaldstrasse 39, 48565 Steinfurt, Germany — International Institute of Physics (IIP) Av. Odilon Gomes de Lima 1722, 59078-400 Natal, Brazil — Max-Planck-Institute for the Physics of Complex Systems, 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 further examples the application to spin models is discussed.
K. Morawetz; Phys. Rev. E 66 (2001) 022103