Abstract

The problem of Rydberg atomic spectra in crossed electric F and magnetic B fields (combined Stark–Zeeman effects), as well as an oscillating electric field are under consideration. The main problem is the great array of radiative transitions between the Rydberg atomic states. The different versions of semiclassical approaches are applied for the solution of the problem. New approximate selection rules are established to simplify the matrix elements of radiative transitions, making it possible to reduce the complex expressions of Gordon’s hypergeometric series to the trivial trigonometric functions. Simple analytical formulas for the dipole matrix elements of a Rydberg hydrogen-like atom in external crossed electric and magnetic fields for H_nα are obtained. The specific calculations are presented for n = 10 to 9 transition both for parallel and perpendicular orientations of F–B fields. The result of Blokhintsev for a single Stark component in oscillating field is generalized for the array of radiative transitions between Rydberg atomic states. Such spectra with large values of modulation index are compared with static ones.

中文翻译：

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Rydberg原子的Stark–Zeeman和Blokhintsev光谱

摘要

电场F和磁场B交叉中的Rydberg原子光谱（Stark–Zeeman组合效应）以及振荡电场的问题正在考虑中。主要问题是里德堡原子态之间存在大量辐射跃迁。半经典方法的不同版本适用于该问题的解决。建立了新的近似选择规则，以简化辐射跃迁的矩阵元素，从而有可能将高登超几何级数的复杂表达式简化为平凡的三角函数。在外部的一个里德伯类氢原子的偶极子矩阵元素简单解析公式交叉的电场和磁场为ħ _{Ñ α}获得。给出了针对F – B场的平行和垂直方向的n = 10到9跃迁的具体计算。对于振动场中单个Stark分量，Blokhintsev的结果被推广用于Rydberg原子态之间的辐射跃迁阵列。将具有较大调制指数值的此类光谱与静态光谱进行比较。