38 citations · 229 across the 21 of their papers we have counts for
22 papers
Exact versus tight-binding models in longitudinally modulated -symmetric coupled waveguides
Alonso Contreras-Astorga, José Israel Galindo-Rodríguez
The tight-binding (TB) model is a widely adopted approximation scheme for describing light propagation in waveguide arrays. Despite its success, its validity in -symm…
Super-Klein tunneling in 2D Lorentzian-type barriers in graphene
Alonso Contreras-Astorga, Francisco Correa, Luis Inzunza +2
We introduce a two-dimensional model of spin-1/2 Dirac fermions in graphene subjected to a highly tunable electric field, which exhibits super-Klein tunneling. The electric field c…
Low-Energy DNA Bubble Dynamics via the Quantum Coulomb Potential
Juan D. García-Muñoz, A. Contreras-Astorga, L. M. Nieto
We developed a low-energy model that can be used at any time to describe the dynamics of DNA bubbles at temperatures below the melting point. The Schrödinger equation associated wi…
The QES sextic and Morse potentials: exact WKB condition and supersymmetry
Alonso Contreras-Astorga, A. M. Escobar-Ruiz
In this paper, as a continuation of [Contreras-Astorga A., Escobar-Ruiz A. M. and Linares R., \textit{Phys. Scr.} {\bf99} 025223 (2024)] the one-dimensional quasi-exactly solvable…
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…
Complex Supersymmetry in Graphene
Miguel Castillo-Celeita, Alonso Contreras-Astorga, David J. Fernández C
This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows bu…
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…
Super-Klein tunneling of Dirac fermions through electrostatic gratings in graphene
Alonso Contreras-Astorga, Francisco Correa, Vit Jakubsky
We use the Wick-rotated time-dependent supersymmetry to construct models of two-dimensional Dirac fermions in presence of an electrostatic grating. We show that there appears omnid…
On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity
Alonso Contreras-Astorga, Vit Jakubsky, Alfredo Raya
We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanic…
Infinite square-well, trigonometric Pöschl-Teller and other potential wells with a moving barrier
Alonso Contreras-Astorga, Véronique Hussin
Using mainly two techniques, a point transformation and a time dependent supersymmetry, we construct in sequence several quantum infinite potential wells with a moving barrier. We…
RePOR: Mimicking humans on refactoring tasks. Are we there yet?
Rodrigo Morales, Foutse Khomh, Giuliano Antoniol
Refactoring is a maintenance activity that aims to improve design quality while preserving the behavior of a system. Several (semi)automated approaches have been proposed to suppor…
Recursive Representation of Wronskians in Confluent Supersymmetric Quantum Mechanics
Alonso Contreras-Astorga, Axel Schulze-Halberg
A recursive form of arbitrary-order Wronskian associated with transformation functions in the confluent algorithm of supersymmetric quantum mechanics (SUSY) is constructed. With th…
On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
Alonso Contreras-Astorga, Axel Schulze-Halberg
We construct a relationship between integral and differential representation of second-order Jordan chains. Conditions to obtain regular potentials through the confluent supersymme…
The generalized zero-mode supersymmetry scheme and the confluent algorithm
Alonso Contreras-Astorga, Axel Schulze-Halberg
We show the relationship between the mathematical framework used in recent papers by H.C. Rosu, S.C. Mancas and P. Chen (2014) and the second-order confluent supersymmetric quantum…
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…
Painlevé IV Coherent States
David Bermudez, Alonso Contreras-Astorga, David J. Fernández C
A simple way to find solutions of the Painlevé IV equation is by identifying Hamiltonian systems with third-order differential ladder operators. Some of these systems can be obtain…
Solutions of the Dirac Equation in a Magnetic Field and Intertwining Operators
Alonso Contreras-Astorga, David J. Fernández C., Javier Negro
The intertwining technique has been widely used to study the Schrödinger equation and to generate new Hamiltonians with known spectra. This technique can be adapted to find the bou…
Coherent states for quadratic Hamiltonians
Alonso Contreras-Astorga, David J Fernandez C, Mercedes Velazquez
The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows to identify directly the creation and annihilation opera…
Supersymmetric partners of the trigonometric Poschl-Teller potentials
Alonso Contreras-Astorga, David J Fernandez C
The first and second-order supersymmetry transformations are used to generate Hamiltonians with known spectra departing from the trigonometric Poschl-Teller potentials. The several…