Abstract

In this work, we present the effects of an external electric field on the Shannon entropy sum of a spherically confined hydrogenic atom. The confinement considered is of the impenetrable hard wall type. The electric field modifies the spectrum of the confined hydrogenic system, which results in avoided crossings among the energy levels of the system, with strong competition between the Coulombic and hard wall potential. The results presented indicate that the electric field is a strong candidate to modify information theoretic measures. In addition, we examine the effects of field strength, nuclear charge and hard walls on the minima/maxima structure of the entropic sum.

Graphic Abstract

Shannon entropy sum, \(S_t\), versus confinement radius, \(R_c\), of the 2p level of confined hydrogenic atoms, with field strength \(\epsilon = 0\) (black), \(\epsilon = 0.001\) (red), \(\epsilon = 0.01\) (green) and \(\epsilon = 0.05\) (blue). The intensity of the field modifies the structure in \(S_t\).

中文翻译：

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电场作用下氢原子的香农信息熵和

摘要

在这项工作中，我们提出了外部电场对球形受限氢原子的香农熵之和的影响。所考虑的限制是不可穿透的硬壁类型。电场改变了受限氢系统的光谱，从而避免了系统能级之间的交叉，并且库仑势和硬壁势之间也产生了激烈竞争。给出的结果表明，电场是修改信息理论量度的强有力的候选者。此外，我们研究了场强，核电荷和硬壁对熵和的最小值/最大值结构的影响。

图形摘要

2 p级受限氢原子的香农熵和\（S_t \）与约束半径\（R_c \）的场强\（\ epsilon = 0 \）（黑色），\（\ epsilon = 0.001 \）（红色），\（\ epsilon = 0.01 \）（绿色）和\（\ epsilon = 0.05 \）（蓝色）。场的强度会修改\（S_t \）中的结构。