55 citations · 320 across the 18 of their papers we have counts for
18 papers
Exact solutions of the Schrödinger Equation with Dunkl Derivative for the Free-Particle Spherical Waves, the Pseudo-Harmonic Oscillator and the Mie-type Potential
R. D. Mota, D. Ojeda-Guillén
We solve exactly the Schrödinger equation for the free-particle, the pseudo-harmonic oscillator and the Mie-type potential in three dimensions with the Dunkl derivative. The equati…
Algebraic approach and Berry phase of a Hamiltonian with a general symmetry
E. Choreño, R. Valencia, D. Ojeda-Guillén
In this paper we study a general Hamiltonian with a linear structure given in terms of two different realizations of the group. We diagonalize this Hamiltonian by using t…
Exact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator
R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +1
We introduce the Dunkl--Klein--Gordon (DKG) equation in 2D by changing the standard partial derivatives by the Dunkl derivatives in the standard Klein--Gordon (KG) equation. We sho…
Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota +2
We introduce an algebraic approach to study the -Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in the…
Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
D. Ojeda-Guillén, R. D. Mota, M. Salazar-Ramírez +1
We extend the -dimensional Dirac-Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac-Dunkl o…
Berry phase of the Tavis-Cummings model with three modes of oscillation
E. Choreño, D. Ojeda-Guillén, R. Valencia +1
In this paper we develop a general method to obtain the Berry phase of time-dependent Hamiltonians with a linear structure given in terms of the and groups. This…
algebraic approach of the most general Hamiltonian of a two-level system in two-dimensional geometry
E. Choreño, D. Ojeda-Guillén
In this paper we introduce the bosonic generators of the algebra and study some of their properties, based on the and group theory. With the developed t…
Exact Solution of the Relativistic Dunkl Oscillator in Dimensions
R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +1
In this paper we study the -dimensional Dirac-Dunkl oscillator coupled to an external magnetic field. Our Hamiltonian is obtained from the standard Dirac oscillator coupled…
Algebraic approach to the Tavis-Cummings model with three modes of oscillation
E. Choreño, D. Ojeda-Guillén, V. D. Granados
We study the Tavis-Cummings model with three modes of oscillation by using four different algebraic methods: the Bogoliubov transformation, the normal-mode operators, and the tilti…
Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated from Supersymmetry with Reflections
R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +1
By modifying and generalizing known supersymmetric models we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first se…
Two-mode generalization of the Jaynes-Cummings and Anti-Jaynes-Cummings models
E. Choreño, D. Ojeda-Guillén, M. Salazar-Ramírez +1
We introduce two generalizations of the Jaynes-Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes-Cummings interactions, while the second mod…
solution for the Dunkl-Coulomb problem in two dimensions and its coherent states
M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota
We study the radial part of the Dunkl-Coulomb problem in two dimensions and show that this problem possesses the symmetry. We introduce two different realizations for the…
An algebraic approach to a charged particle in an uniform magnetic field
D. Ojeda-Guillén, M. Salazar-Ramírez, R. D. Mota +1
We study the problem of a charged particle in a uniform magnetic field with two different gauges, known as Landau and symmetric gauges. By using a similarity transformation in term…
Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime
M. Salazar-Ramírez, D. Ojeda-Guillén, R. D. Mota
We study a relativistic quantum particle in cosmic string spacetime in the presence of a uniform magnetic field and a Coulomb-type scalar potential. It is shown that the radial par…
Approach to Stokes Parameters and the Theory of Light Polarization
R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +1
We introduce an alternative approach to the polarization theory of light. This is based on a set of quantum operators, constructed from two independent bosons, being three of them…
The number radial coherent states for the generalized MICZ-Kepler problem
D. Ojeda-Guillén, M. Salazar-Ramírez, R. D. Mota
We study the radial part of the MICZ-Kepler problem in an algebraic way by using the Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem fro…
Coherent states for the two-dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field
D. Ojeda-Guillén, R. D. Mota, V. D. Granados
We show that the -dimensional Dirac-Moshinsky oscillator coupled to an external magnetic field can be treated algebraically with the group theory and its group bas…
A generalized Jaynes-Cummings model: The relativistic parametric amplifier and a single trapped ion
D. Ojeda-Guillén, R. D. Mota, V. D. Granados
We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by using the tilting tra…