38 citations · 481 across the 78 of their papers we have counts for
35 papers · 1 filter
An ubiquitous three-term recurrence relation
Paolo Amore, Francisco M. Fernández
We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coeff…
Comment on: "Solving many-body Schrödinger equations with kinetic energy partition method'', Ann. Phys. 388 (2018) 54-68 by Y-H. Chen and S. D. Chao
Francisco M. Fernández
We discuss a recent test of the performance of the kinetic energy partition method (KEP) through its application to two separable quantum-mechanical models. We argue that one of th…
Comment on "Bidimensional bound states for charged polar nanoparticles''
Paolo Amore, Francisco M. Fernández
In a recent paper Castellanos-Jaramillo and Castellanos-Moreno proposed a simple quantum-mechanical model for an electron in the vicinity of an ionized nanostructure with a permane…
On the spectra of coupled harmonic oscillators
Francisco M. Fernández
We discuss the diagonalization of a general Hamiltonian operator for a set of coupled harmonic oscillators and determine the conditions for the existence of bound states. We consid…
Comment to: "The quantum square well with moving boundaries: a numerical analysis"
Miguel Ahumada-Centeno, Paolo Amore, Francisco M Fernandez
In this comment we show that the approach presented by Fojón et al~\cite{Fojon10} is not as accurate as they claim. A straightforward calculation using the models considered buy th…
Two-dimensional hydrogen-like atom in a uniform magnetic field. Large-order perturbation theory
Francisco M. Fernández
The well known hypervirial perturbation method (HPM)\ based on hypervirial relations and the Hellmann-Feynman theorem is suitable for the calculation of perturbation corrections of…