Zobrazeno 1 - 10
of 151
pro vyhledávání: '"David J. Fernández"'
Publikováno v:
Acta Polytechnica, Vol 62, Iss 1, Pp 30-37 (2022)
In this work, we derive two equivalent non-rational extensions of the quantum harmonic oscillator using two different supersymmetric transformations. For these extensions, we built ladder operators as the product of the intertwining operators related
Externí odkaz:
https://doaj.org/article/45456316a4724834831c339f8a2eb152
Publikováno v:
Acta Polytechnica, Vol 62, Iss 1, Pp 23-29 (2022)
We work with photonic graphene lattices under strain with gain and loss, modeled by the Dirac equation with an imaginary mass term. To construct such Hamiltonians and their solutions, we use the free-particle Dirac equation and then a matrix approach
Externí odkaz:
https://doaj.org/article/3cd0ebff068844b180597517b297f6a9
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
Publikováno v:
Symmetry, Vol 11, Iss 11, p 1362 (2019)
In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connec
Externí odkaz:
https://doaj.org/article/fe515ada156f4cb096a4505abcbfeb14
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