Dunkl–Pauli equation in the presence of a magnetic field
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-dimensio...
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| Published in | Indian journal of physics Vol. 98; no. 12; pp. 4093 - 4105 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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New Delhi
Springer India
01.11.2024
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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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| AbstractList | 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. |
| Author | Lütfüoğlu, B. C. Bouguerne, H. Hamil, B. Merad, M. |
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| Keywords | Reflection symmetry dependent solution Pauli equation Dunkl derivative Thermal quantities |
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| Snippet | 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... |
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| Title | Dunkl–Pauli equation in the presence of a magnetic field |
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