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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-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…