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UID:901@qft.physik.hu-berlin.de
DTSTART;TZID=Europe/Berlin:20170609T130000
DTEND;TZID=Europe/Berlin:20170609T140000
DTSTAMP:20170602T124630Z
URL:https://qft.physik.hu-berlin.de/next-seminars/batu-guneysu-hu-berlin/
SUMMARY:Batu Güneysu (HU Berlin) - The Feynman-Kac-Ito formula for magneti
 c Schrödinger operators on infinite weighted graphs
DESCRIPTION:The Feynman-Kac-Ito formula for magnetic Schrödinger operators
  on infinite weighted graphs\nLet X be a countable infinite set which carr
 ies the structure of a weighted graph\, which is even allowed to be locall
 y infinite. Given an electric potential v on X and a magnetic potential \\
 theta on X one can canonically contsruct a magnetic Schrödinger operator 
 H(v\,\\theta) on the Hilbert space of square integrable functions on X. Th
 e aim of this talk is to explain a probabilistic formula for the Euclide
 an path integral\ncorresponding to exp(-t H(v\,\\theta))\, t&gt\;0. In co
 ntrast to the continuum situation\, this formula also has a well-defined v
 ariant for the "non-Euclidean" path integral for exp(-it H(v\,\\theta))\
 , t&gt\;0.\n&nbsp\;
CATEGORIES:Research Seminars
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