10 citations · 30 across the 9 of their papers we have counts for
6 papers · 1 filter
The one-dimensional Coulomb Hamiltonian: Properties of its Birman-Schwinger operator
S. Fassari, M. Gadella, J. T. Lunardi +2
We study the Birman-Schwinger operator for a self-adjoint realisation of the one-dimensional Hamiltonian with the Coulomb potential. We study both the case in which this Hamiltonia…
Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal interactions
Silvestro Fassari, Manuel Gadella, Luis-Miguel Nieto +1
The objective of the present paper is the study of a one-dimensional Hamiltonian with the interaction term given by the sum of two nonlocal attractive -interactions of equal st…
The Schrödinger particle on the half-line with an attractive -interaction: bound states and resonances
S. Fassari, M. Gadella, L. M. Nieto +1
In this paper we provide a detailed description of the eigenvalue (respectively ) of the self-adjoint Hamiltonian operator representing the n…
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…
The spectrum of the Schrödinger Hamiltonian for trapped particles in a cylinder with a topological defect perturbed by two attractive delta interactions
S. Fassari, F. Rinaldi, S. Viaggiu
In this paper we exploit the technique used in \cite{A}-\cite{5b} to deal with delta interactions in a rigorous way in a curved spacetime represented by a cosmic string along the $…
On the spectrum of the Schrödinger Hamiltonian of the one-dimensional conic oscillator perturbed by a point interaction
S. Fassari, M. Gadella, M. L. Glasser +1
We decorate the one-dimensional conic oscillator with a point impurity of either -type, or local -type…