5 papers
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
Marco Falconi, Benjamin Hinrichs, Javier ValentÃn MartÃn
In this paper we construct the non-trivial, renormalized Hamiltonian for a class of spin-boson models with supercritical form factors, including the one describing the Weisskopf-Wi…
Wave Function Renormalization for Particle-Field Interactions
Marco Falconi, Benjamin Hinrichs, Javier ValentÃn MartÃn
In this paper, we develop a wave function renormalization scheme for models of non-relativistic quantum particles interacting with a quantized relativistic field, in the Hamiltonia…
On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks
Benjamin Hinrichs, Pascal Mittenbühler
We study the convergence rate of translation-invariant discrete-time quantum dynamics on a one-dimensional lattice. We prove that the cumulative distributions function of the balli…
Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
Marco Falconi, Benjamin Hinrichs
In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach…
On the Ergodicity of Renormalized Translation-Invariant Nelson-Type Semigroups
Benjamin Hinrichs, Fumio Hiroshima
We present a simple functional integration based proof that the semigroups generated by the ultraviolet-renormalized translation-invariant non- and semi-relativistic Nelson Hamilto…