32 citations · 118 across the 20 of their papers we have counts for
24 papers
On the Ultraviolet Problem for the Ground State Energy of the Translation-Invariant Pauli--Fierz Model at Zero Total Momentum
Volker Bach, Miguel Ballesteros, Merten Mlinarzik
We study the ground state energy of the Pauli--Fierz model in the absence of external potentials. We consider the fiber decomposition of the Pauli--Fierz operator with respect to t…
Limit absorption and Green function estimates for matrix-valued periodic operators
Miguel Ballesteros, Gerardo Franco Cordova, Hermann Schulz-Baldes
The boundary value of the resolvent of a generic periodic tight-binding Hamiltonian with matrix symbols is shown to satisfy a limit absorption principle which is continuous in ener…
The Spectral Renormalization Flow Based on the Smooth Feshbach--Schur Map: The Introduction of the Semi-Group Property
Volker Bach, Miguel Ballesteros, Jakob Geisler
The spectral renormalization method is a powerful mathematical tool that is prominently used in spectral theory in the context of low-energy quantum field theory and its original i…
Levinson theorem for discrete Schrödinger operators on the line with matrix potentials having a first moment
Miguel Ballesteros, Gerardo Franco Córdova, Ivan Naumkin +1
This paper proves new results on spectral and scattering theory for matrix-valued Schrödinger operators on the discrete line with non-compactly supported perturbations whose first…
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…