A random cloud model for the Wigner equation

Thumbnail Image

Files

821319922.pdf (171.07 KB)

Date

2015

Authors

Editor

Advisor

Volume

2083

Issue

Journal

Series Titel

WIAS Preprints

Book Title

Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

Supplementary Material

Other Versions

Link to publishers' Version

Abstract

A probabilistic model for the Wigner equation is studied. The model is based on a particle system with the time evolution of a piecewise deterministic Markov process. Each particle is characterized by a real-valued weight, a position and a wave-vector. The particle position changes continuously, according to the velocity determined by the wave-vector. New particles are created randomly and added to the system. The main result is that appropriate functionals of the process satisfy a weak form of the Wigner equation.

Description

Keywords

Wigner equation, probabilistic representation, stochastic particle model, piecewise deterministic Markov process

Keywords GND

Conference

Publication Type

Report

Version

publishedVersion

URI

https://doi.org/10.34657/1895
 https://oa.tib.eu/renate/handle/123456789/2827

Collections

Mathematik
WIAS Preprints

License

This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.