87 citations · 927 across the 51 of their papers we have counts for
51 papers
Exact solutions of the inhomogeneous nonlinear Schrödinger equation through supersymmetric potentials
David J. Fernández C., O. Pavón-Torres
By employing supersymmetric quantum mechanics, we present a general algorithm to construct supersymmetric partner potentials and hence derive exact stationary solutions of the inho…
Confluent supersymmetric algorithm for bilayer graphene
Jonathan de la Cruz-Hernandez, David J. Fernández C.
External magnetic field profiles leading to equidistant and partially equidistant bilayer graphene spectra within the tight-binding model are obtained. This is achieved by implemen…
Bilayer graphene in periodic and quasiperiodic magnetic superlattices
David J. Fernández C., O. Pavón-Torres
Starting from the effective Hamiltonian arising from the tight binding model, we study the behaviour of low-lying excitations for bilayer graphene placed in periodic external magne…
Design of quasiperiodic magnetic superlattices and domain walls supporting bound states
Miguel Castillo-Celeita, Alonso Contreras-Astorga, David J. Fernández C
We study the simplest Lamé magnetic superlattice in graphene, finding its allowed and forbidden energy bands and band-edge states explicitly. Then, we design quasiperiodic magnetic…
Supersymmetric Quantum Mechanics, multiphoton algebras and coherent states
Juan D García-Muñoz, David J Fernández C, F Vergara-Méndez
The multiphoton algebras for one-dimensional Hamiltonians with infinite discrete spectrum, and for their associated kth-order SUSY partners are studied. In both cases, such an alge…
Multiphoton coherent states for bilayer graphene
David J. Fernández C., Dennis I. Martínez-Moreno
The multiphoton coherent states, a generalization to coherent sates, are derived for electrons in bilayer graphene placed in a constant homogeneous magnetic field which is orthogon…