论文标题
DIRAC振荡器与Aharonov-Casher系统在宇宙字符串背景中与Aharonov-Casher系统相互作用的代数解决方案和相干状态
Algebraic solution and coherent states for the Dirac oscillator interacting with the Aharonov-Casher system in the cosmic string background
论文作者
论文摘要
我们引入了$ SU（1,1）$代数方法，以研究$（2+1）$ - DIRAC振荡器，在存在Aharonov-Casher效应的情况下，与Minkowski SpaceTime和Cosmic Scring SpaceTime中的外部电磁场相连。这种方法基于一种量子力学分解方法，该方法使我们能够获得$ su（1,1）$代数发生器，能量谱和特征函数。我们为此问题的每个旋转组件获得相干状态及其时间演变。最后，对于这些问题，我们计算了一些矩阵元素，以及两个普通$ su（1,1）$运算符的Schrödinger不确定性关系。
We introduce an $SU(1,1)$ algebraic approach to study the $(2+1)$-Dirac oscillator in the presence of the Aharonov-Casher effect coupled to an external electromagnetic field in the Minkowski spacetime and the cosmic string spacetime. This approach is based on a quantum mechanics factorization method that allows us to obtain the $su(1,1)$ algebra generators, the energy spectrum and the eigenfunctions. We obtain the coherent states and their temporal evolution for each spinor component of this problem. Finally, for these problems, we calculate some matrix elements and the Schrödinger uncertainty relationship for two general $SU(1,1)$ operators.
