112 citations · 1.1k across the 124 of their papers we have counts for
128 papers
On the two-dimensional hydrogen atom in a circular box in the presence of an electric field
Paolo Amore, Francisco M. Fernández
We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we re…
Lower and upper bounds for configurations of points on a sphere
Paolo Amore, Ricardo A. Sáenz
We present a new proof (based on spectral decomposition) of a bound originally proved by Sidelnikov~\, for the frame potentials $\sum_{ij} \left( {\bf P}_i \cdot {\bf P}_j \right)^…
Fuzzy Spheres in Stringy Matrix Models: Quantifying Chaos in a Mixed Phase Space
Paolo Amore, Leopoldo A. Pando Zayas, Juan F. Pedraza +2
We consider a truncation of the BMN matrix model to a configuration of two fuzzy spheres, described by two coupled non-linear oscillators dependent on the mass parameter . The c…
The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators
Paolo Amore, Francisco M. Fernández
In this short note we resort to the well known Hellmann-Feynman theorem to prove that some non-relativistic Hamiltonian operators support an infinite number of bound states.
Circle packing on spherical caps
Paolo Amore
We have studied the packing of congruent disks on a spherical cap, for caps of different size and number of disks, . This problem has been considered before only in the limit ca…
On the eigenvalues of the harmonic oscillator with a Gaussian perturbation
Paolo Amore, Francisco M. Fernández, Javier Garcia
We test the analytical expressions for the first two eigenvalues of the harmonic oscillator with a Gaussian perturbation proposed recently. Our numerical eigenvalues show that thos…