Solutions of Noncommutative Two-Dimensional Position–Dependent Mass Dirac Equation in the Presence of Rashba Spin-Orbit Interaction by Using the Nikiforov–Uvarov Method

IF 1.3 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY International Journal of Theoretical Physics Pub Date : 2023-05-29 DOI:10.1007/s10773-023-05361-5
Ilyas Haouam
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引用次数: 3

Abstract

We study the combined effects of both position-dependent mass (PDM) and Rashba spin-orbit interaction (RSOI) on the Dirac equation of a spin 1/2 particle moving in a plane and in the presence of a magnetic field within noncommutative (NC) phase-space. The eigenvalues of the two-dimensional system are calculated and the corresponding eigenstates are obtained. The model is solved using NU method then some numerical results are given and used to extensively investigate the behavior of the system under the various influences of linear potential (involved in PDM), magnetic field and RSOI in both commutative and NC frameworks.

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用Nikiforov-Uvarov方法求解Rashba自旋-轨道相互作用下非对易二维位置相关质量Dirac方程
本文研究了位置依赖质量(PDM)和Rashba自旋轨道相互作用(RSOI)对非对易相空间中磁场存在下平面运动的自旋1/2粒子狄拉克方程的联合影响。计算了二维系统的特征值,得到了相应的特征态。采用NU法求解了该模型,给出了一些数值结果,并应用这些结果广泛研究了在交换和NC框架下,系统在线性电位(涉及PDM)、磁场和RSOI的各种影响下的行为。
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来源期刊
CiteScore
2.50
自引率
21.40%
发文量
258
审稿时长
3.3 months
期刊介绍: International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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