\noindent{\bf Mathematisches Oberseminar} {\it PDG und
Spektraltheorie} (WiSe 2013/14).

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\noindent{\bf Date:} 31.10.2013.

\noindent{\bf Time and place:} 14:15 in B 134.

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\noindent{\bf Speaker:} Leander Geisinger (Princeton University).

\noindent{\bf Titel:} {\it The ground state energy of a polaron in a strong magnetic field}.


\noindent{\bf Abstract:}

\noindent We show that the ground state of a polaron in a homogeneous magnetic
field of strength $B$ and its energy are described by an effective
one-dimensional minimization problem in the limit $B \to \infty$. This
holds both in the linear Fr\"{o}hlich and in the non-linear Pekar model
and we describe how these models are related. 

\noindent This is joint work with Rupert L. Frank.

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Thomas {\O}stergaard S{\o}rensen

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