Zobrazeno 1 - 10
of 191
pro vyhledávání: '"David J. Fernández"'
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 magnetic fields by using irreducible second order supersymmetry transformat
Externí odkaz:
http://arxiv.org/abs/2404.19106
We study the simplest Lam\'e magnetic superlattice in graphene, finding its allowed and forbidden energy bands and band-edge states explicitly. Then, we design quasiperiodic magnetic superlattices supporting bound states using Darboux transformations
Externí odkaz:
http://arxiv.org/abs/2306.06132
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 algebra is generated by the multiphoton annihilation and creation operator
Externí odkaz:
http://arxiv.org/abs/2304.05461
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 orthogonal to the bilayer surface. For that purpose a generalized annihilation
Externí odkaz:
http://arxiv.org/abs/2209.00690
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 supersymmetric transformations. We construct ladder operators for the
Externí odkaz:
http://arxiv.org/abs/2208.09733
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 set of ladder operators acting on the eigenfunctions for each Hamilton
Externí odkaz:
http://arxiv.org/abs/2205.03500
Publikováno v:
Eur. Phys. J. Plus 137 (2022) 904
This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields. Here, we wil
Externí odkaz:
http://arxiv.org/abs/2203.08173
Autor:
C., David J. Fernández, Reyes, Rosa
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 Hamiltonians from a given initial potential. In this paper, we will construct the
Externí odkaz:
http://arxiv.org/abs/2107.00232
The effective Hamiltonian for electrons in bilayer graphene with applied magnetic fields is solved through second-order supersymmetric quantum mechanics. This method transforms the corresponding eigenvalue problem into two intertwined one dimensional
Externí odkaz:
http://arxiv.org/abs/2101.05391
In this paper we consider the interaction of electrons in bilayer graphene with a constant homogeneous magnetic field which is orthogonal to the bilayer surface. Departing from the energy eigenstates of the effective Hamiltonian, the corresponding co
Externí odkaz:
http://arxiv.org/abs/2007.02229