87 citations · 927 across the 51 of their papers we have counts for
14 papers · 1 filter
Graphene in complex magnetic fields
DJ Fernández, JD García-Muñoz
Exact analytic solutions for an electron in graphene interacting with external complex magnetic fields are found. The eigenvalue problem for the non-hermitian Dirac-Weyl Hamiltonia…
Bilayer graphene in magnetic fields generated by supersymmetry
David J. Fernández C., Juan D. García M., Daniel O-Campa
The effective Hamiltonian for electrons in bilayer graphene with applied magnetic fields is solved through second-order supersymmetric quantum mechanics. This method transforms the…
Electron in bilayer graphene with magnetic fields leading to shape invariant potentials
David J Fernández C, Juan D García M, Daniel O-Campa
The quantum behavior of electrons in bilayer graphene with applied magnetic fields is addressed. By using second-order supersymmetric quantum mechanics the problem is transformed i…
Ladder operators for the Ben Daniel-Duke Hamiltonians and their SUSY partners
Mario Ivan Estrada Delgado, David José Fernández Cabrera
Position dependent mass systems can be described by a class of operators which include the Ben Daniel-Duke Hamiltonians. The usual methods to solve this kind of problems are, in ge…
Polynomial Heisenberg algebras, multiphoton coherent states and geometric phases
Miguel Castillo-Celeita, Erik Díaz-Bautista, David J. Fernández C
In this paper we will realize the polynomial Heisenberg algebras through the harmonic oscillator. We are going to construct then the Barut-Girardello coherent states, which coincid…
Coherent states for the supersymmetric partners of the truncated oscillator
David J Fernández, Véronique Hussin, VS Morales-Salgado
We build the coherent states for a family of solvable singular Schrödinger Hamiltonians obtained through supersymmetric quantum mechanics from the truncated oscillator. The main fe…