Dunkl-Pauli Equation in the Presence of a Magnetic Field

• URL: http://arxiv.org/abs/2309.14081v2
• Date: Fri, 8 Mar 2024 23:14:51 GMT
• Title: Dunkl-Pauli Equation in the Presence of a Magnetic Field
• Authors: H. Bouguerne, B. Hamil, B. C. L\"utf\"uo\u{g}lu and M. Merad
• Abstract summary: The Dunkl derivative, when used instead of the ordinary derivative, leads to parity-dependent solutions. We consider a two-dimensional nonrelativistic spin-$1/2$ particle system in the presence of an external magnetic field.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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