23 citations · 61 across the 5 of their papers we have counts for
5 papers
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…
approach and the Mandel parameter to the Hamiltonian of two oscillators with weak coupling
J. C. Vega, D. Ojeda-Guillén, R. D. Mota
We study the Hamiltonian of two isotropic oscillators with weak coupling from an algebraic approach. We write the Hamiltonian of this problem in terms of the boson generators of th…
The Generalized Fokker-Planck Equation in terms of Dunkl-type Derivatives
R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl
In this work we introduce two different generalizations of the Fokker-Planck equation in (1+1) dimensions by replacing the spatial derivatives in terms of generalized Dunkl-type de…
The Dunkl-Fokker-Planck Equation in Dimensions
R. D. Mota, D. Ojeda-Guillén, M. A. Xicoténcatl
By replacing the spatial derivative with the Dunkl derivative, we generalize the Fokker-Planck equation in (1+1) dimensions. We obtain the Dunkl-Fokker-Planck eigenvalues equation…
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…