平行磁场和电场中类氢原子复合信息测度的标度性质及形状复杂性
Scaling properties of composite information measures and shape complexity for hydrogenic atoms in parallel magnetic and electric fields
摘要：
研究了平行磁场和电场作用下非相对论类氢原子的位置和动量空间中各种复合信息论测度（Shannon和Rényi熵和、Fisher和Onicescu信息积、Tsallis熵比、Fisher-Shannon积和形状复杂度）的标度性质.这种措施被发现是不变的固定值的缩放参数由$s_1 = B \hbar^3(4πε_0)^2 / (Z^2m^2e^3)$和$s_2 = F \hbar^4(4πε_0)^3 / (Z^3e^5m^2)$。数值结果支持的有效性的缩放属性的位置空间形状复杂性的选择的代表性的例子。由此产生的标度行为的物理意义进行了讨论。
英文摘要：
The scaling properties of various composite information-theoretic measures (Shannon and Rényi entropy sums, Fisher and Onicescu information products, Tsallis entropy ratio, Fisher-Shannon product and shape complexity) are studied in position and momentum spaces for the non-relativistic hydrogenic atoms in the presence of parallel magnetic and electric fields. Such measures are found to be invariant at the fixed values of the scaling parameters given by $s_1 = B \hbar^3(4πε_0)^2 / (Z^2m^2e^3)$ and $s_2 = F \hbar^4(4πε_0)^3 / (Z^3e^5m^2)$. Numerical results which support the validity of the scaling properties are shown by choosing the representative example of the position space shape complexity. Physical significance of the resulting scaling behaviour is discussed.
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