论文标题

两参数dunkl衍生物对二维schrödinger方程的影响

Effect of the two-parameter generalized Dunkl derivative on the two-dimensional Schrödinger equation

论文作者

Mota, R. D., Ojeda-Guillén, D.

论文摘要

我们介绍了dunkl衍生物的概括,其中有两个参数,以研究笛卡尔和极性坐标的schrödinger方程在两个维度上。谐波振荡器和库仑问题的本征函数和能量光谱以分析方式得出,这表明我们的结果已正确降低到先前报道的具有单个参数的Dunkl衍生物的结果。

We introduce a generalization of the Dunkl-derivative with two parameters to study the Schrödinger equation in Cartesian and polar coordinates in two dimensions. The eigenfunctions and the energy spectrum for the harmonic oscillator and the Coulomb problem are derived in an analytical way and it is shown that our results are properly reduced to those previously reported for the Dunkl derivative with a single parameter.

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