论文标题
氢化恒定状态的辐射衰减速率的经典计算
Classical calculation of radiative decay rates of hydrogenic Stark states
论文作者
论文摘要
开普勒 - 库仑问题在抛物线坐标中解决，并分析了Larmor辐射问题以补充先前针对球形极坐标中通常表示的研究。与量子自发衰变率的比较表明，对于Azimuthal量子数$ M = 0 $状态仅过渡到附近$ N-n-ΔN$主量子数状态，通过Wentzel-Kramers-brillouin量化的经典运动正确描述了，但对于$ 0 $ 0 $ $Δn$ $δN$ $δN$。 $ m \ ne 0 $状态的生命周期的简单大概表达式来自半古典分析。
The Kepler-Coulomb problem is solved in parabolic coordinates and the Larmor radiation problem is analyzed to complement a previous study performed for the usual representation in spherical polar coordinates. A comparison with quantum spontaneous decay rates shows that for azimuthal quantum number $m = 0$ states only transitions to nearby $n-Δn$ principal quantum number states are described properly by the Wentzel-Kramers-Brillouin quantized classical motions, but that for $m > 0$ reasonable results emerge for many values of $Δn$. A simple approximate expression for the lifetime of $m \ne 0$ states emerges from the semi-classical analysis.
