论文标题
在非共同相位中的二维dunkl谐波振荡器的精确溶液
Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space
论文作者
论文摘要
在本文中，我们通过使用dunkl衍生物而不是习惯性衍生物来研究非交通相空间（NCP）中的谐波振荡器问题。定义汉密尔顿操作员后，我们使用极坐标来得出结合能特征值。我们发现，在laguerre函数方面与这些特征值相对应。我们观察到，在提供有关均匀和奇数的其他信息的背景下，NCPS中的Dunkl-Harmonic振荡器（DHO）与普通的振荡器不同。因此，我们得出的结论是，由于其丰富的内容，与Dunkl运营商合作可能更合适。
In this paper, we examine the harmonic oscillator problem in non-commutative phase space (NCPS) by using the Dunkl derivative instead of the habitual one. After defining the Hamilton operator, we use the polar coordinates to derive the binding energy eigenvalue. We find eigenfunctions that correspond to these eigenvalues in terms of the Laguerre functions. We observe that the Dunkl-Harmonic Oscillator (DHO) in the NCPS differs from the ordinary one in the context of providing additional information on the even and odd parities. Therefore, we conclude that working with the Dunkl operator could be more appropriate because of its rich content.
