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One-Boson Scattering Processes in the Massless Spin-Boson Model -- A Non-Perturbative Formula
Miguel Ballesteros, Dirk-André Deckert, Felix Hänle
In scattering experiments, physicists observe so-called resonances as peaks at certain energy values in the measured scattering cross sections per solid angle. These peaks are usua…
One-Boson Scattering Processes in the massive Spin-Boson Model
Miguel Ballesteros, Dirk-André Deckert, Jérémy Faupin +1
The Spin-Boson model describes a two-level quantum system that interacts with a second-quantized boson scalar field. Recently the relation between the integral kernel of the scatte…
Relation between the Resonance and the Scattering Matrix in the massless Spin-Boson Model
Miguel Ballesteros, Dirk-André Deckert, Felix Hänle
We establish the precise relation between the integral kernel of the scattering matrix and the resonance in the massless Spin-Boson model which describes the interaction of a two-l…
Analyticity of Resonances and Eigenvalues and Spectral Properties of the massless Spin-Boson Model
Miguel Ballesteros, Dirk-André Deckert, Felix Hänle
We extend the method of multiscale analysis for resonances introduced in [5] in order to infer analytic properties of resonances and eigenvalues (and their eigenprojections) as wel…