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quant-ph2025★ 1 cited
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…
quant-ph2024★ 2 cited
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…
quant-ph2022★ 23 cited
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…