Article
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Landau Problem in Dynamical Noncommutative Space
Version 1
: Received: 26 December 2023 / Approved: 27 December 2023 / Online: 27 December 2023 (10:51:00 CET)
How to cite: Haouam, I.; Alavi, S. A. Landau Problem in Dynamical Noncommutative Space. Preprints 2023, 2023122086. https://doi.org/10.20944/preprints202312.2086.v1 Haouam, I.; Alavi, S. A. Landau Problem in Dynamical Noncommutative Space. Preprints 2023, 2023122086. https://doi.org/10.20944/preprints202312.2086.v1
Abstract
This paper aims to investigate the Landau problem within a two-dimensional dynamical noncommutative (DNC) space. We address the deformed Landau problem using time-independent perturbation theory, where the eigenenergies are successfully determined. Notably, the energy shift depends on the DNC parameter . Using the accuracy of energy measurement, we put an upper bound on the parameter . Moreover, we study magnetoconductivity by employing the Kubo formula. This approach has allowed us to test the effects of noncommutative and DNC spaces on the behavior of magnetoconductivity. We show that dynamical noncommutativity of space has no effects on the x-component of the conductivity.
Keywords
dynamical noncommutative space; deformed Landau system; time-independent perturbation theory; magnetoresistance; Kubo formula
Subject
Physical Sciences, Theoretical Physics
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.
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