4 papers
Essential self-adjointness of semi-bounded operators
M. Griesemer, V. KuÃmaul
A semi-bounded operator that is bounded below by one is essentially self-adjoint if the kernel of the adjoint is trivial. This is the case if the kernel of the adjoint belongs to t…
Self-Adjointness of the Standard Model of Non-Relativistic QED
Valentin KuÃmaul
For systems of non-relativistic charged particles minimally coupled to the soft modes of the quantized radiation field, we prove self-adjointness on the domain of the free Hamilton…
On Rayleigh scattering in the massless Nelson model
Marcel Griesemer, Valentin Kussmaul
Asymptotic completeness of Rayleigh scattering in models of atoms and molecules of non-relativistic QED is expected, but for a proof we still lack sufficient control on the number…
Pointwise bounds on confined states in non-relativistic QED
M. Griesemer, V. KuÃmaul
Kato's well known distributional inequality for the magnetic Laplacian holds equally in the more general setting of non-relativistic quantum electrodynamics (QED), where the wave f…