10 citations · 10 across the 4 of their papers we have counts for
5 papers
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…
RBF Solver for Quaternions Interpolation
Rinaldi Fabio, Dolci Daniele
In this paper we adapt the RBF Solver to work with quaternions by taking advantage of their Lie Algebra and exponential map. This will allow to work with quaternions as if they wer…
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 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…
The 3D perturbed Schrödinger Hamiltonian in a Friedmann flat spacetime testing the primordial universe in a non commutative spacetime
S. Fassari, F. Rinaldi, S. Viaggiu
In this paper we adapt the mathematical machinery presented in \cite{P1} to get, by means of the Laplace-Beltrami operator, the discrete spectrum of the Hamiltonian of the Schrödin…