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Analysis Seminar: Matthias Keller (Potsdam) "Path integral representations for magnetic Schroedinger operators on graphs" | Einstein Institute of Mathematics

Analysis Seminar: Matthias Keller (Potsdam) "Path integral representations for magnetic Schroedinger operators on graphs"

Date: 
Wed, 15/05/201912:00-13:00
Location: 
Ross 70

Title:
Path integral representations for magnetic Schroedinger operators on graphs
Abstract:
We consider the semigroup and the unitary group of magnetic Schrödinger operators on graphs. Using the ideas of the Feynman Kac formula, we develop a representation of the semigroup and the unitary group in terms of the stochastic process associated with the free Laplacian. As a consequence we derive Kato-Simon estimates for the unitary group. This is joint work with Batu Güneysu (Bonn).