Seminar of Research Training Group
On Spectral Properties of Spin-Boson Models
This event depends on a recurrence rule
Event is repeated
starting Tuesday December 5, 2017
, ending Wednesday January 31, 2018
Talk by Markus Lange
We consider a quantum mechanical system, which is modeled by a Hamiltonian acting on a finite dimensional space with degenerate eigenvalues interacting with a field of relativistic bosons. Provided a mild infrared assumption holds, we prove existence of the ground state eigenvalues and ground state eigenvectors using operator theoretic renormalization. We show that the eigenvectors and eigenvalues are analytic functions of the coupling constant in a cone with apex at the origin.