Version 1
: Received: 31 January 2021 / Approved: 2 February 2021 / Online: 2 February 2021 (08:19:21 CET)
Version 2
: Received: 23 June 2021 / Approved: 23 June 2021 / Online: 23 June 2021 (13:22:27 CEST)
Haouam, I. (2021). Dirac oscillator in dynamical noncommutative space. Acta Polytechnica, 61(6), 689–702. https://doi.org/10.14311/AP.2021.61.0689
Haouam, I. (2021). Dirac oscillator in dynamical noncommutative space. Acta Polytechnica, 61(6), 689–702. https://doi.org/10.14311/AP.2021.61.0689
Haouam, I. (2021). Dirac oscillator in dynamical noncommutative space. Acta Polytechnica, 61(6), 689–702. https://doi.org/10.14311/AP.2021.61.0689
Haouam, I. (2021). Dirac oscillator in dynamical noncommutative space. Acta Polytechnica, 61(6), 689–702. https://doi.org/10.14311/AP.2021.61.0689
Abstract
In this paper, we address the energy eigenvalues of two-dimensional Dirac oscillator perturbed by dynamical noncommutative space. We derived the relativistic Hamiltonian of Dirac oscillator in dynamical noncommutative space (-space), in which the space-space Heisenberg–like commutation relations and noncommutative parameter are position-dependent. Then used this Hamiltonian to calculate the first-order correction to the eigenvalues and eigenvectors, based on the second quantization and using the perturbation theory. It is shown that the energy shift depends on the dynamical noncommutative parameter . Knowing that with a set of two-dimensional Bopp-shift transformation, we mapped the noncommutative problem to the standard commutative one.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Ilyas Haouam
Commenter's Conflict of Interests: Author