Titlebook: Mathematical Challenges of Zero-Range Physics; Models, Methods, Rig Alessandro Michelangeli Conference proceedings 2021 The Editor(s) (if a

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Martina Iori,Tommaso Macrì,Andrea Trombettoniptoren, die Außenweltveränderungen vermitteln, zum anderen aber durch Fühler der Innenwelt des Organismus. Man spricht einmal von einem auf die Umwelt gerichteten „.“ Teil des Nervensystems; seine obersten Zentren in der Hirnrinde können die Informationen aus den Sinnesorganen „bewußt“ verarbeiten u

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Scattering Theory for Delta-Potentials Supported by Locally Deformed Planes,undamental concepts and on the chief achievements, omitting some auxiliary results and a number of technical details given in the original paper. We discuss the scattering problem for a quantum particle in dimension three in the presence of a semitransparent unbounded obstacle, modelled by a .-inter

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The Massless Nelson Hamiltonian and Its Domain,re singular: they can not be rigorously defined as a perturbation (in the operator or form sense) of an unperturbed free operator. A similar situation occurs in Quantum Field Theory, where it is known as the ultraviolet problem. Recently, it was shown that some of the tools used in the context of po

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Dirac Operators and Shell Interactions: A Survey,stion of self-adjointness for these operators. Afterwards we switch to an approximation question: can these operators be recovered as limits of Dirac operators coupled with squeezing potentials? We also discuss spectral features of these models. Namely, we recall the main spectral consequences of a

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Ultraviolet Properties of a Polaron Model with Point Interactions and a Number Cutoff,n, as in the related Fröhlich polaron model. We determine explicitly the domain of the Hamiltonian for finitely many bosons in terms of singular boundary conditions. The singularities occurring in this model are essentially the same as in the model with quadratic boson dispersion, with simplificatio

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Born-Oppenheimer Type Approximation for a Simple Renormalizable System,hough intuitively clear the actual application of the Born-Oppenheimer type approximation to this problem is quite subtle. The light particle ground state energy is not bounded from below when we consider it as a function of heavy particles’ separation. Nevertheless, with due care, we calculate the

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