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:
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