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Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line
Miguel Ballesteros, Gerardo Franco Córdova, Hermann Schulz-Baldes
Explicit formulas for the analytic extensions of the scattering matrix and the time delay of a quasi-one-dimensional discrete Schrödinger operator with a potential of finite suppor…
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…
Perturbation Theory for Weak Measurements in Quantum Mechanics, I -- Systems with Finite-Dimensional State Space
M. Ballesteros, N. Crawford, M. Fraas +2
The quantum theory of indirect measurements in physical systems is studied. The example of an indirect measurement of an observable represented by a self-adjoint operator $\mathcal…
Non-demolition measurements of observables with general spectra
M. Ballesteros, N. Crawford, M. Fraas +2
It has recently been established that, in a non-demolition measurement of an observable with a finite point spectrum, the density matrix of the system approaches an e…
Existence of Ground State Eigenvalues for the Spin-Boson Model with Critical Infrared Divergence and Multiscale Analysis
Volker Bach, Miguel Ballesteros, Martin Könenberg +1
A two-level atom coupled to the radiation field is studied. First principles in physics suggest that the coupling function, representing the interaction between the atom and the ra…