Seminar Analysis and Mathematical Physics: Norbert J. Mauser (WPI and MMM c/o Univ. Wien)

Model hierarchies in semiclassical semi-relativistic quantum physics: From Dirac-Maxwell to Euler-Poisson

The Pauli-Poisswell equation models fast moving charges in

semiclassical semi-relativistic quantum dynamics. It is at the

center of a hierarchy of models from the Dirac-Maxwell equation to

the Euler-Poisson equation that are linked by asymptotic analysis of

small parameters such as Planck constant or inverse speed of light.

We discuss the models and their application in plasma and

accelerator physics as well as the many mathematical problems they

pose.

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