论文标题
dyon的氢化模型的klein--戈登方程的研究
Study of the Klein--Gordon equation for a hydrogenic model of dyons
论文作者
论文摘要
本文介绍了使用klein-gordon方程将零自旋氢原子的概括为二氢的相对论原子模型。显示了针对相对运动粒子的klein-gordon方程的推导。另外，根据惠特克函数和雅各比加权多项式计算方程的分析溶液。提出了离散的能量光谱和轨道dyon的电荷密度。对于核中的正磁和电荷系统以及轨道粒子的负电荷系统，并考虑到$ n $和$ l $的第一个允许值，发现Dyon原子在核和次级粒子的电荷之间具有更大的相互作用作用。它是通过比较核和电荷密度浓度之间的距离与相对论先驱原子之间获得的。
This article presents the generalization of a zero spin hydrogen atom to a relativistic atomic model of hydrogen with dyons using the Klein--Gordon equation. The derivation of the Klein--Gordon equation for the particle of relative motion is shown. In addition, the analytical solutions of the equation are calculated in terms of Whittaker functions and Jacobi weighted polynomials. The discrete spectrum of energy, and the charge density of the orbiting dyon are presented. For a system of positive magnetic and electric charges in the nucleus and negative charges for the orbiting particle, and considering the first allowed values of $N$ and $l$, it was found that the dyon atom acts with a greater force of interaction between the charges of the nucleus and the secondary particle compared to the standard atom. It was obtained by comparing the distance between the nucleus and charge density concentrations from the dyon atom with the relativistic pionic atom.
