87 citations · 927 across the 51 of their papers we have counts for
29 papers · 1 filter
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…
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…
Graphene generalized coherent states
David J. Fernández C., Daniel O-Campa
In this paper we construct the generalized coherent states for an electron in monolayer or bilayer graphene placed in an external magnetic field. At first we define an appropriate…
Spectral manipulation of the trigonometric Rosen-Morse potential through supersymmetry
David J. Fernández C., Rosa Reyes
The first and second-order supersymmetry transformations can be used to manipulate one or two energy levels of the initial spectrum when generating new exactly solvable Hamiltonian…