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Exact Solution of (2+1)-Dimensional Noncommutative Pauli Equation in a Time-Dependent Background

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Abstract

In this paper, we obtain exact solutions of the time-dependent noncommutative Pauli equation with considering a constant magnetic field perpendicular to the plane through making use of both the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation formulation. Knowing that, we apply the time-dependent noncommutativity using a two-dimensional time-dependent Bopp-shift transformation. We set Lewis-Riesenfeld invariant operators then obtaining results were used to express the eigenfunctions that lead to obtaining the exact solution of the system. In addition, we have included a new concept used for the first time, which is the time-dependent Moyal product (\(\circledast\)product).

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Authors and Affiliations

  1. Laboratoire de Physique Mathématique et de Physique Subatomique (LPMPS), Université Frères Mentouri, 25000, Constantine, Algeria

    Ilyas Haouam

  2. Faculty of Physics, Shahrood University of Technology, P. O. Box, 3619995161- 316, Shahrood, Iran

    Hassan Hassanabadi

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  1. Ilyas Haouam
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  2. Hassan Hassanabadi
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Conceptualization, I,H.; investigation- methodology and analysis, I,H.; writing, I,H.; review and validation I,H. and H,H.; All authors have read and agreed to the published version of the manuscript.

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Correspondence to Ilyas Haouam.

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Haouam, I., Hassanabadi, H. Exact Solution of (2+1)-Dimensional Noncommutative Pauli Equation in a Time-Dependent Background. Int J Theor Phys 61, 215 (2022). https://doi.org/10.1007/s10773-022-05197-5

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