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Dunkl–Pauli equation in the presence of a magnetic field

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Abstract

The Pauli equation, an important equation of quantum mechanics, allows us to study the dynamics of spin-1/2 particles. The Dunkl derivative, when used instead of the ordinary derivative, leads to obtaining parity-dependent solutions. Motivated by these facts, in this work, we consider a two-dimensional non-relativistic spin-1/2 particle system in the presence of an external magnetic field, and we investigate its parity-dependent dynamics by solving the Pauli equation analytically. Next, we assume the system to be in thermal equilibrium, and we examine various thermal quantities of the system.

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Data Availability

The authors declare that the data supporting the findings of this study are available within the article.

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Acknowledgements

This work is supported by the Ministry of Higher Education and Scientific Research, Algeria, under the Code: B00L02UN040120230003. B. C. Lütfüoğlu is grateful to the PřF UHK Excellence Project of 2211/2023-2024 for the financial support.

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Authors and Affiliations

  1. Laboratoire de Systèmes Dynamiques et Contrôle (LSDC), Département des Sciences de la Matière, Faculté des Sciences Exactes et SNV, Université de Oum-El-Bouaghi, 04000, Oum El Bouaghi, Algeria

    H. Bouguerne & M. Merad

  2. Laboratoire de Physique Mathématique et Subatomique, Faculté des Sciences Exactes, Université Constantine 1, Constantine, Algeria

    B. Hamil

  3. Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia

    B. C. Lütfüoğlu

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  1. H. Bouguerne
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Correspondence to B. C. Lütfüoğlu.

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Bouguerne, H., Hamil, B., Lütfüoğlu, B.C. et al. Dunkl–Pauli equation in the presence of a magnetic field. Indian J Phys (2024). https://doi.org/10.1007/s12648-024-03170-y

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