55 citations · 544 across the 36 of their papers we have counts for
36 papers
Quantum Dynamics and Collapse-and-Revival Phenomena in the Dunkl Anharmonic Oscillator
D. Ojeda-Guillén, R. D. Mota, M. Salazar-Ramírez
We study the Dunkl anharmonic oscillator (Kerr medium) Hamiltonian from an algebraic approach of the group. In order to obtain the exact energy spectrum of this problem,…
A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties
D. Ojeda Guillén, R. D. Mota, J. C. Vega
We study the parametric amplifier Hamiltonian within the framework of the Dunkl formalism. We introduce the Dunkl creation and annihilation operators and show that their quadratic…
Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well
R. D. Mota, D. Ojeda-Guillén, M. Salazar-Ramírez
In this paper, we study the Schrödinger equation with Dunkl derivative for a free particle confined in a cylindrical potential well. We consider both the finite and infinite height…
Berry phase and the Mandel parameter of the non-degenerate parametric amplifier
J. C. Vega, E. Choreño, D. Ojeda-Guillén +1
We study the non-degenerate parametric amplifier problem from an algebraic approach of the group. We write the Hamiltonian of this problem in terms of the boson generator…
Effect of the two-parameter generalized Dunkl derivative on the two-dimensional Schrödinger equation
R. D. Mota, D. Ojeda-Guillén
We introduce a generalization of the Dunkl-derivative with two parameters to study the Schrödinger equation in Cartesian and polar coordinates in two dimensions. The eigenfunctions…
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…