79 citations · 590 across the 58 of their papers we have counts for
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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…
Gelfand Triplets, Continuous and Discrete Bases and Legendre Polynomials
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
We consider a basis of square integrable functions on a rectangle, contained in , constructed with Legendre polynomials, suitable, for instance, for the analogical description…
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…
Supersymmetric Partners of the One-Dimensional Infinite Square Well Hamiltonian
M. Gadella, J. Hernández-Muñoz, L. M. Nieto +1
We find supersymmetric partners of a family of self-adjoint operators which are self-adjoint extensions of the differential operator on , , that is, the…
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…
Hermite functions and Fourier series
Enrico Celeghini, Manuel Gadella, Mariano. A. del Olmo
Using normalized Hermite functions, we construct bases in the space of square integrable functions on the unit circle () and in , which are related…