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20102020
most citedExact Solutions of the 2D Dunkl--Klein--Gordon Equation: The Coulomb Potential and the Klein--Gordon Oscillator

55 citations · 303 across the 14 of their papers we have counts for

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math-ph2020★ 31 cited

Landau levels for the Dunkl-Klein-Gordon oscillator

R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez +1

In this paper we study the -dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl deri…

math-ph2020★ 55 cited

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…

math-ph2018★ 52 cited

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…

math-ph2017★ 14 cited

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…

math-ph2016★ 42 cited

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…

math-ph2016

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…

math-ph2015★ 8 cited

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…

math-ph2010★ 11 cited

An algebraic approach for the relativistic Kepler-Coulomb problem

M. Salazar-Ramírez, D. Martínez, R. D. Mota +1

We apply the Schrödinger factorization method to the radial second-order equation for the relativistic Kepler-Coulomb problem. From these operators we construct two sets of one-var…