321 citations · 2.4k across the 166 of their papers we have counts for
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The Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity
Sergio Albeverio, Silvestro Fassari, Manuel Gadella +2
In this note we consider a quantum mechanical particle moving inside an infinitesimally thin layer constrained by a parabolic well in the -direction and, moreover, in the presen…
Asymptotics of random resonances generated by a point process of delta-interactions
Sergio Albeverio, Illya M. Karabash
We introduce and study the following model for random resonances: we take a collection of point interactions generated by a simple finite point process in the 3-D space and c…
A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field
Sergio Albeverio, Nicolò Cangiotti, Sonia Mazzucchi
A Feynman path integral formula for the Schrödinger equation with magnetic field is rigorously mathematically realized in terms of infinite dimensional oscillatory integrals. We sh…
On the multilevel internal structure of the asymptotic distribution of resonances
Sergio Albeverio, Illya M. Karabash
We prove that the asymptotic distribution of resonances has a multilevel internal structure for the following classes of Hamiltonians H: Schrödinger operators with point interactio…
Relative partition function of Coulomb plus delta interaction
Sergio Albeverio, Claudio Cacciapuoti, Mauro Spreafico
The relative partition function and the relative zeta function of the perturbation of the Laplace operator by a Coulomb potential plus a point interaction centered in the origin is…
Quantum fields obtained from convoluted generalized white noise never have positive metric
Sergio Albeverio, Hanno Gottschalk
It is proven that the relativistic quantum fields obtained from analytic continuation of convoluted generalized (Lévy type) noise fields have positive metric, if and only if the no…