7 citations · 7 across the 12 of their papers we have counts for
16 papers
On some potentials based on exponential functions
Francisco M. Fernández
By means of a simple and systematic normalization method we show that some apparently different potentials based on exponential functions are equivalent. Present normalization meth…
On solutions of the Schrödinger equation for some molecular potentials: Power-series method
Francisco M. Fernández
We show that the standard power-series method described in many textbooks of quantum-mechanics and quantum-chemistry is simpler and more powerful than the wavefunction approach pro…
Exact solutions, critical parameters and accidental degeneracy for the hydrogen atom in a spherical box
Francisco M. Fernández
We derive some properties of the hydrogen atom inside a box with an impenetrable wall that have not been discussed before. Suitable scaling of the Hamiltonian operator proves to be…
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…
On the application of the Rayleigh-Ritz method to a projected Hamiltonian
Francisco M. Fernández
We apply the well known Rayleigh-Ritz method (RRM) to the projection of a Hamiltonian operator chosen recently for the extension of the Rayleigh-Ritz variational principle to ensem…
On the exact solutions of a one-dimensional Schrödinger equation with a rational potential
Francisco M. Fernández
We analyse the exact solutions of a conditionally-solvable Schrödinger equation with a rational potential. From the nodes of the exact eigenfunctions we derive a connection between…