The relative Fisher information is a measure of distance between two probability densities. We calculate it for the electron orbitals of hydrogen-like atoms by taking 1s state as the reference orbital. We find that the measure decreases as the principal quantum number increases, indicating that the electron cloud of excited states in radial direction becomes close to the one of 1s orbital.

中文翻译：

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类氢原子的相对Fisher信息

Fisher的相对信息是两个概率密度之间距离的度量。我们以1s状态作为参考轨道，计算出氢样原子的电子轨道。我们发现，随着主量子数的增加，该量度减小，这表明沿径向的激发态电子云变得接近1s轨道之一。