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arXiv · 2309.14081

Dunkl-Pauli Equation in the Presence of a Magnetic Field

H. Bouguerne·B. Hamil·B. C. Lütfüoğlu·M. Merad
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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 nonrelativistic 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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H. Bouguerne, B. Hamil, B. C. Lütfüoğlu, M. Merad. 2023-09-25. Dunkl-Pauli Equation in the Presence of a Magnetic Field. https://doi.org/10.1007/s12648-024-03170-y

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