38 citations · 481 across the 78 of their papers we have counts for
80 papers
On Perturbation theory for the Fokker--Planck equation
Francisco M. Fernández
We discuss a recent application of the Modified Homotopy Perturbation Method to the Fokker--Planck equation and show that the selected examples do not have any connection with actu…
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…
Comment on: "Neutron star under homotopy perturbation method" Ann. Phys. 409 (2019) 167918
Francisco M. Fernández
In this comment we discuss the application of homotopy perturbation method to a nonlinear differential mass equation that solves the Tolman-Oppenheimer-Volkoff equation for an isot…
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…