Dunkl-Pauli Equation in the Presence of a Magnetic Field
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866908485696880640 |
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| author | Bouguerne, H. Hamil, B. Lütfüoğlu, B. C. Merad, M. |
| author_facet | Bouguerne, H. Hamil, B. Lütfüoğlu, B. C. Merad, M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_14081 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dunkl-Pauli Equation in the Presence of a Magnetic Field Bouguerne, H. Hamil, B. Lütfüoğlu, B. C. Merad, M. Quantum Physics 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. |
| title | Dunkl-Pauli Equation in the Presence of a Magnetic Field |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2309.14081 |