用狄拉克方程对玻尔半径和电子距离期望值的相对论修正
Relativistic correction to the Bohr radius and electron distance expectation value via Dirac Equation
摘要：
本文从基态氢原子的Dirac解出发，求出了相应于电子到质子距离期望值和最大几率距离的精确结果。对于类氢原子，与非相对论性的玻尔半径和期望值相比，对于$Z=\frac{\sqrt3}{2}\frac{1}α$（接近118），到原子核的期望距离为零，从而结束了Z = 118的周期表，与最后发现的元素（Oganesson）很好地匹配。
英文摘要：
In this article and beginning with the Dirac solution to the Hydrogen atom in its ground state, the exact results corresponding to the expectation value of the distance of the electron to the proton and the maximum probability distance are found. For hydrogen-like atoms and in contrast to the non relativistic Bohr radius and expectation values, for $Z=\frac{\sqrt3}{2}\frac{1}α$ (close to 118), the expectation distance to the nucleus is zero thus putting an end to the periodic table for Z = 118 nicely matching the last element discovered (Oganesson).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
