Aarhus University Seal / Aarhus Universitets segl

Ito's calculus and non-relativistic QED

Oliver Matte
Analysis Seminar
Tuesday, 28 May, 2013, at 16:15, in Koll. D (1531-211)
We consider Feyman-Kac type formulas for the standard model of non-relativistic quantum electrodynamics. In this model the Hamiltonian is given by a Schrödinger operator which is coupled to the quantized electromagnetic field. We present a new derivation of the Feynman-Kac formulas by means of stochastic calculus and explain how the corresponding stochastic differential equation can be used to discuss regularity properties of the (operator-valued) semi-group kernel associated with the Hamiltonian.
The talk is based on joint work with Batu Güneysu and Jacob Møller.
Contact person: Bent Ørsted