activity
20172026
most citedThe Birman-Schwinger Operator for a Parabolic Quantum Well in a Zero-Thickness Layer in the Presence of a Two-Dimensional Attractive Gaussian Impurity

10 citations · 19 across the 7 of their papers we have counts for

collaborators

9 papers

nucl-th2026

The Birman-Schwinger operator for the Cornell Hamiltonian

O Civitarese, S. Fassari, M. Gadella +1

Quantum Chromodynamics is the theory of strong interactions. It has been shown during the last decades that it describes correctly most of the properties of hadrons at high energy.…

math-ph2024

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…

math-ph2023★ 8 cited

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…

math-ph2021

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…

math-ph2020★ 10 cited

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…

quant-ph2020

The two lowest eigenvalues of the harmonic oscillator in the presence of a Gaussian perturbation

Silvestro Fassari, Luis M. Nieto, Fabio Rinaldi

In this note we consider a one-dimensional quantum mechanical particle constrained by a parabolic well perturbed by a Gaussian potential. As the related Birman-Schwinger operator i…