[HTML][HTML] Analyticity of resonances and eigenvalues and spectral properties of the massless Spin–Boson model
M Ballesteros, DA Deckert, F Hänle - Journal of Functional Analysis, 2019 - Elsevier
We extend the method of Pizzo multiscale analysis for resonances introduced in [5] in order
to infer analytic properties of resonances and eigenvalues (and their eigenprojections) as …
to infer analytic properties of resonances and eigenvalues (and their eigenprojections) as …
Differential equations of quantum mechanics
I Sigal - Quarterly of Applied Mathematics, 2022 - ams.org
AMS :: Quarterly of Applied Mathematics Skip to Main Content American Mathematical Society
American Mathematical Society MathSciNet Bookstore Publications Publications — Over 100 …
American Mathematical Society MathSciNet Bookstore Publications Publications — Over 100 …
[HTML][HTML] One-boson scattering processes in the massless Spin-Boson model–A non-perturbative formula
M Ballesteros, DA Deckert, F Hänle - Advances in Mathematics, 2020 - Elsevier
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 …
energy values in the measured scattering cross sections per solid angle. These peaks are …
Relation between the resonance and the scattering matrix in the massless spin-boson model
M Ballesteros, DA Deckert, F Hänle - Communications in Mathematical …, 2019 - Springer
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-level …
resonance in the massless Spin-Boson model which describes the interaction of a two-level …
[HTML][HTML] One-boson scattering processes in the massive spin-boson model
M Ballesteros, DA Deckert, J Faupin, F Hänle - Journal of Mathematical …, 2020 - Elsevier
Abstract 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 …
second-quantized boson scalar field. Recently the relation between the integral kernel of the …
A new approach to continuous multi-scale analysis in nonrelativistic QED: ground states and photon number bounds for the spin-boson model with critical infrared …
V Bach, M Ballesteros, L Menrath - Journal of Evolution Equations, 2018 - Springer
We introduce a new method for the study of spectral problems in nonrelativistic quantum
electrodynamics, NR QED. The method is based on the so-called Pizzo's Method (Ann Henri …
electrodynamics, NR QED. The method is based on the so-called Pizzo's Method (Ann Henri …
[PDF][PDF] Resonances, spectral estimates and their connection to scattering theory in the Spin-Boson model
F Hänle - 2019 - edoc.ub.uni-muenchen.de
The main goal of this thesis is to understand the relation between resonances and scattering
theory in a certain model of quantum field theory. We address the Spin-Boson model, which …
theory in a certain model of quantum field theory. We address the Spin-Boson model, which …