Construction of polaron Hamiltonians using interior boundary conditions
I will discuss the construction of some self-adjoint Hamiltonians in non-relativistic quantum field theory whose formal expression contains ultra-violet singularities. I will start by illustrating the method of interior boundary conditions in a toy model. Then, I will explain recent results on polaron type Hamiltonians, including the Bogoliubov-Fröhlich Hamiltonian which models the interaction of an impurity in a Bose-Einstein condensate with the field of Bogoliubov excitations.
The seminar takes place in hybrid format. If interested in an online participation, please contact Benjamin Hinrichs.