论文标题
$（2+1）$ DUNKL-KLEIN-GORDON振荡器的Landau级别
Landau levels for the $(2+1)$ Dunkl-Klein-Gordon oscillator
论文作者
论文摘要
在本文中，我们研究了$（2+1）$ - 尺寸klein-gordon振荡器耦合到外部磁场，在该场中，我们更改了DUNKL衍生物的标准偏导数。我们通过介绍了关闭$ su（1,1）$ lie代数的三个操作员，并从单一代表理论中介绍了三位运营商，以代数的方式找到了能源谱（Landau级别）。同样，我们在分析上发现了能量谱和本征函数，并且表明这两种溶液都是一致的。最后，我们证明，当磁场消失或dunkl衍生物的参数设定为零时，我们的结果将充分降低到文献中报道的结果时。
In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator coupled to an external magnetic field, in which we change the standard partial derivatives for the Dunkl derivatives. We find the energy spectrum (Landau levels) in an algebraic way, by introducing three operators that close the $su(1,1)$ Lie algebra and from the theory of unitary representations. Also we find the energy spectrum and the eigenfunctions analytically, and we show that both solutions are consistent. Finally, we demonstrate that when the magnetic field vanishes or when the parameters of the Dunkl derivatives are set zero, our results are adequately reduced to those reported in the literature.
