论文标题
部分可观测时空混沌系统的无模型预测
The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios
论文作者
论文摘要
在本文中，我们在三种不同的相对论场景中研究了非交换量子大厅效应（NCQHE）的边界解决方案（NCQHE），即：Minkowski时空（惯性平面案例），旋转宇宙（CS）空间（cs）空间（CS）curvectection（CS）curvecterial（均匀的曲线）（均匀旋转）（均匀旋转）（均匀旋转）（均匀旋转）。弯曲的情况）。特别是，在前两种情况下，我们有一个惯性框架，而在第三种情况下，我们有一个旋转框架。关于结合状态的溶液，我们主要关注特征函数（狄拉克纺纱厂和波函数）以及能量特征值（Landau水平），在那里我们在极性坐标中使用平坦和弯曲的Dirac方程来达到此类溶液。但是，与文献不同，在这里，我们考虑了一个具有角动量非无效以及位置的NC的CS，因此，我们为QHE寻求更一般的描述。一旦获得解决方案，我们将讨论所有参数和物理量对相对论能量水平的影响。最后，我们分析了非依赖主义限制，我们还将我们的问题与其他作品进行了比较，我们验证了我们的结果概括了文献的一些特定案例。
In the present paper, we investigate the bound-state solutions of the noncommutative quantum Hall effect (NCQHE) with anomalous magnetic moment (AMM) in three different relativistic scenarios, namely: the Minkowski spacetime (inertial flat case), the spinning cosmic string (CS) spacetime (inertial curved case), and the spinning CS spacetime with noninertial effects (noninertial curved case). In particular, in the first two scenarios, we have an inertial frame, while in the third, we have a rotating frame. With respect to bound-state solutions, we focus primarily on eigenfunctions (Dirac spinor and wave function) and on energy eigenvalues (Landau levels), where we use the flat and curved Dirac equation in polar coordinates to reach such solutions. However, unlike the literature, here we consider a CS with an angular momentum non-null and also the NC of the positions, and therefore, we seek a more general description for the QHE. Once the solutions are obtained, we discuss the influence of all parameters and physical quantities on relativistic energy levels. Finally, we analyze the nonrelativistic limit, and we also compared our problem with other works, where we verified that our results generalize some particular cases of the literature.
