activity
20212023
most citedOn a class of non-Hermitian Hamiltonians with tridiagonal matrix representation

6 citations · 23 across the 22 of their papers we have counts for

collaborators

22 papers

hep-ph2023★ 1 cited

Exploring tetraquark candidates in a coupled-channels formalism

Pablo G. Ortega, David R. Entem, Francisco Fernández

This study investigates the properties of the tetraquark candidates within a coupled-channels calculation of the system, specifically focusing on the $J…

quant-ph2023

On a recent calculation of the mass spectra of quarkonia using the Cornell potential with spin-spin interactions

Francisco M. Fernández

We analyse a recent application of the Cornell potential with spin-spin interaction to the mass spectra of quarkonia and show that the authors have in fact used the Kratzer-Fues po…

quant-ph2023

On some one-dimensional quantum-mechanical models with a delta-potential interaction

Francisco M. Fernández

We discuss a systematic construction of dimensionless quantum-mechanical equations. The process reduces the number of independent model parameters to a minimum and, at the same tim…

quant-ph2022

On the effective secular equation

Francisco M. Fernández

We show that the effective secular equation proposed several years ago is suitable for estimating the location of the exceptional points of eigenvalue equations. As an illustrative…

hep-ph2022★ 2 cited

Production of single-charmed baryons in a quark model approach

Daniel Iglesias-Ferrero, David R. Entem, Francisco Fernández +1

The production of single-charmed baryons , +h.c. and in collisions is studied in the framework of a constituent quark model which…

quant-ph2022★ 2 cited

Algebraic analysis of non-Hermitian quadratic Hamiltonians

Francisco M. Fernández

We study a general one-mode non-Hermitian quadratic Hamiltonian that does not exhibit -symmetry. By means of an algebraic method we determine the conditions for the e…

hep-ph2022

Kaon spectrum revisited

U. Taboada-Nieto, P. G. Ortega, D. R. Entem +2

The European Organization for Nuclear Research (CERN) has recently approved a world-unique QCD facility in which an updated version of the external M2 beam line of the CERN SPS in…

quant-ph2022

On the interaction of a magnetic quadrupole moment with an electric field in a rotating frame

Francisco M. Fernández

We discuss results obtained recently for a quantum-mechanical model given by a neutral particle with a magnetic quadrupole moment in a radial electric field and a scalar potential…

cond-mat.mtrl-sci2022

About the effects of rotation on the Landau levels in an elastic medium with a spiral dislocation

Paolo Amore, Francisco M. Fernández

In this Paper we analyze a model proposed recently with the purpose of studying the effects of rotation on the interaction of a point charge with a uniform magnetic field in an ela…

quant-ph2022★ 1 cited

On the problem of the vanishing discriminant

Francisco M. Fernández

We show that the straightforward application of the discriminant to some physical problems may yield a trivial useless result. If the symmetry of the model matrix does not change w…

quant-ph2022

On the application of the Adomian-based methods

Francisco M. Fernández

We analyze a recent application of two Adomian-based approximate methods to the Chen-Lee-Liu equation. We prove that the outcome of these approaches is merely the Taylor expansion…

quant-ph2022

Quantum particles in a suddenly accelerating potential

Paolo Amore, Francisco M. Fernández, Jose Luis Valdez

We study the behavior of a quantum particle trapped in a confining potential in one dimension under multiple sudden changes of velocity and/or acceleration. We develop the appropri…

quant-ph2022

Extremely broken generalized symmetry

Francisco M. Fernández

We discuss some simple Hückel-like matrix representations of non-Hermitian operators with antiunitary symmetries that include generalized (parity transformation foll…

quant-ph2022★ 3 cited

On the Rayleigh-Ritz variational method

Francisco M. Fernández

We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact…

quant-ph2022

On the misinterpretation of conditionally-solvable quantum-mechanical problems

Francisco M. Fernández

We apply the Frobenius (power-series) method to some simple exactly-solvable and conditionally-solvable quantum-mechanical models with supposed physical interest. We show that the…

quant-ph2022

On the Q-BOR-FDTD method

Francisco M. Fernández

We discuss a recently proposed approach termed Q-BOR-FDTD method and develop its main equations in a clearer and more rigorous way. We show that it is unsuitable for the calculatio…

quant-ph2022

Alternative solution to a quantum-mechanical four-particle system in one dimension

Francisco M. Fernández

We propose an alternative solution to a quantum-mechanical four-particle system in one dimension with two- and three-particle interactions. The solution of the eigenvalue equation…

physics.chem-ph2021★ 2 cited

On the application of statistical mechanics to diatomic molecules

Francisco M. Fernández

We argue that the results proposed recently for the electronic state of do not exhibit any physical utility because the canonical vibrational…

quant-ph2021★ 1 cited

On the quantum-mechanical singular harmonic oscillator

Francisco M. Fernández

We obtain the eigenvalues and eigenfunctions of the singular harmonic oscillator by means of the simple and straightforward Frobenius (power-series) method. F…

quant-ph2021★ 1 cited

A most misunderstood conditionally-solvable quantum-mechanical model

Francisco M. Fernández

In this paper we show that several authors have derived wrong physical conclusions from a gross misunderstanding of the exact eigenvalues and eigenfunctions of a conditionally-solv…

quant-ph2021★ 6 cited

On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation

Francisco M. Fernández

We show that some non-Hermitian Hamiltonian operators with tridiagonal matrix representation may be quasi Hermitian or similar to Hermitian operators. In the class of Hamiltonian o…

physics.chem-ph2021★ 4 cited

Highly accurate potential energy curves for the hydrogen molecule ion

Francisco Marcelo Fernández, Javier Garcia

Potential energy surfaces of the hydrogen molecular ion H in the Born-Oppenheimer approximation are computed by means of the Riccati-Padé method (RPM). The convergence proper…