22 citations · 32 across the 5 of their papers we have counts for
6 papers
The SUSY partners of the QES sextic potential revisited
Alonso Contreras-Astorga, A. M. Escobar-Ruiz, Román Linares
In this paper, the SUSY partner Hamiltonians of the quasi-exactly solvable (QES) sextic potential …
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…
Equivalent non-rational extensions of the harmonic oscillator, their ladder operators and coherent states
Alonso Contreras-Astorga, David J. Fernández C., César Muro-Cabral
In this work, we generate a family of quantum potentials that are non-rational extensions of the harmonic oscillator. Such a family can be obtained via two different but equivalent…
Freezable bound states in the continuum for time-dependent quantum potentials
Izamar Gutiérrez Altamirano, Alonso Contreras-Astorga, Alfredo Raya
In this work, we construct time-dependent potentials for the Schrödinger equation via supersymmetric quantum mechanics. The generated potentials have a quantum state with the prope…
Effects of discrete topology on quantum transport across a graphene junction: A quantum gravity analogue
Naveed Ahmad Shah, Alonso Contreras-Astorga, François Fillion-Gourdeau +3
In this article, we investigate the effect of next-to-the-nearest atom hopping on Klein tunnelling in graphene. An effective quantum dynamics equation is obtained based on an emerg…
The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials
Alonso Contreras-Astorga, Axel Schulze-Halberg
We introduce the confluent version of the quantum-mechanical supersymmetry (SUSY) formalism for the Dirac equation with a pseudoscalar potential. Application of the formalism to sp…