3 papers
math-ph2026
Essential self-adjointness of semi-bounded operators
M. Griesemer, V. Kußmaul
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…
math-ph2026
Self-Adjointness of the Standard Model of Non-Relativistic QED
Valentin Kußmaul
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…
math-ph2026
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…