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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Bibliographic Details
Published inIndian journal of physics Vol. 98; no. 12; pp. 4093 - 4105
Main Authors Bouguerne, H., Hamil, B., Lütfüoğlu, B. C., Merad, M.
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.11.2024
Subjects
Astrophysics and Astroparticles
Original Paper
Physics
Physics and Astronomy
Reflection symmetry dependent solution
Pauli equation
Dunkl derivative
Thermal quantities
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Summary: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.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-024-03170-y