Zobrazeno 1 - 10
of 709
pro vyhledávání: '"Guillén, D."'
We study the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators from an algebraic approach of the $SU(1,1)$ and $SU(2)$ groups. In order to obtain the energy spectrum and eigenfunctions of this problem, we write its Hamiltonian
Externí odkaz:
http://arxiv.org/abs/2410.00021
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 the $SU(1,1)$ and $SU(2)$ groups. This allows us to apply two tilting tr
Externí odkaz:
http://arxiv.org/abs/2409.08179
In this article we investigate and solve exactly the modified Dirac oscillator in curved spacetime with spin and pseudospin symmetries through an algebraic approach. By focusing on the radial part of this problem, we use the Schr\"odinger factorizati
Externí odkaz:
http://arxiv.org/abs/2405.11415
Publikováno v:
J. Opt. Soc. Am. B 41, 1084-1090 (2024)
We study the non-degenerate parametric amplifier problem from an algebraic approach of the $SU(1,1)$ group. We write the Hamiltonian of this problem in terms of the boson generators of the $SU(1,1)$ group and the difference operator. We apply the til
Externí odkaz:
http://arxiv.org/abs/2312.15114
Publikováno v:
Physica A 635 (2024) 129525
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 derivatives involving reflection operators. As applications of these res
Externí odkaz:
http://arxiv.org/abs/2310.05017
Publikováno v:
Few-Body Syst (2024) 65:25
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 and solve it for the harmonic oscillator plus a centrifugal-type poten
Externí odkaz:
http://arxiv.org/abs/2310.05016
Autor:
Mota, R. D., Ojeda-Guillén, D.
Publikováno v:
Mod. Phys. Lett. A 37 (2022) 2250224
We introduce a generalization of the Dunkl-derivative with two parameters to study the Schr\"odinger equation in Cartesian and polar coordinates in two dimensions. The eigenfunctions and the energy spectrum for the harmonic oscillator and the Coulomb
Externí odkaz:
http://arxiv.org/abs/2207.10048
Publikováno v:
In International Journal of Electrical Power and Energy Systems July 2024 158
Autor:
Mota, R. D., Ojeda-Guillén, D.
Publikováno v:
Mod. Phys. Lett. A 37 (2022) 2250006
We solve exactly the Schr\"odinger equation for the free-particle, the pseudo-harmonic oscillator and the Mie-type potential in three dimensions with the Dunkl derivative. The equations for the radial and angular parts are obtained by using spherical
Externí odkaz:
http://arxiv.org/abs/2103.04461
Publikováno v:
In Physica A: Statistical Mechanics and its Applications 1 February 2024 635