Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of the energy spectrum and the connection with condensed matter …

MM Cunha, HS Dias, EO Silva - Physical Review D, 2020 - APS
In this article, we study topological and noninertial effects on the motion of the two-
dimensional Dirac oscillator in the presence of a uniform magnetic field and the Aharonov …

Exact solution of the relativistic Dunkl oscillator in (2+ 1) dimensions

RD Mota, D Ojeda-Guillén, M Salazar-Ramírez… - Annals of Physics, 2019 - Elsevier
In this paper we study the (2+ 1)-dimensional Dirac–Dunkl oscillator coupled to an external
magnetic field. Our Hamiltonian is obtained from the standard Dirac oscillator coupled to an …

Algebraic approach for the one-dimensional Dirac–Dunkl oscillator

D Ojeda-Guillén, RD Mota… - … Physics Letters A, 2020 - World Scientific
We extend the (1+ 1)-dimensional Dirac–Moshinsky oscillator by changing the standard
derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl …

SU (1, 1) solution for the Dunkl oscillator in two dimensions and its coherent states

M Salazar-Ramırez, D Ojeda-Guillén, RD Mota… - The European Physical …, 2017 - Springer
We study the Dunkl oscillator in two dimensions by the su (1, 1) algebraic method. We apply
the Schrödinger factorization to the radial Hamiltonian of the Dunkl oscillator to find the su …

Algebraic approach and coherent states for a relativistic quantum particle in cosmic string spacetime

M Salazar-Ramírez, D Ojeda-Guillén, RD Mota - Annals of Physics, 2016 - Elsevier
We study a relativistic quantum particle in cosmic string spacetime in the presence of a
magnetic field and a Coulomb-type scalar potential. It is shown that the radial part of this …

Two-mode generalization of the Jaynes–Cummings and anti-Jaynes–Cummings models

E Choreño, D Ojeda-Guillén, M Salazar-Ramírez… - Annals of Physics, 2017 - Elsevier
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 …

Fermionic fields in a four-dimensional Bonnor–Melvin space–time

F Ahmed, N Candemir, A Bouzenada - Theoretical and Mathematical …, 2025 - Springer
We investigate how the gravitational field generated by a four-dimensional electrovacuum
cosmological space–time influences the dynamics of fermionic fields governed by the Dirac …

[HTML][HTML] Equivalence between the planar Dirac oscillator and a spin-1/2 fermion embedded in a transverse homogeneous magnetic field

AS Castro - Revista Brasileira de Ensino de Física, 2019 - SciELO Brasil
It is shown that a spin-1/2 fermion coupled to the axially symmetric electromagnetic vector
potential has the same matrix structure as that one for the planar Dirac oscillator. In …

Фермионные поля в четырехмерном пространстве-времени Боннора–Мелвина с космологической постоянной 

Ф Ахмед, Н Кандемир, А Бузенада - … и математическая физика, 2025 - mathnet.ru
Исследовано влияние гравитационного поля, порожденного четырехмерным
электровакуумным космологическим пространством-временем, на динамику …