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math-ph2025
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…
math-ph2025
Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
Marco Falconi, Benjamin Hinrichs, Javier Valentín Martín
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…
math-ph2025
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…