In this paper, Shannon entropy and Fisher information is studied for the screened Kratzer potential model and compared with the screened Coulomb in three dimensions. Our results showed similar higher‐order characteristic behavior for position and momentum space. Our numerical results showed that increases in the accuracy of predicting particle location occurred in the position space. Our result shows that the sum of the position and momentum entropies satisfies the lower‐bound Berkner, Bialynicki‐Birula, and Mycieslki inequality. The Stam‐Cramer‐Rao inequalities relation for Fisher information and the expectation values were also satisfied for the different eigenstates.

中文翻译：

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Shannon熵和Fisher信息用于筛选Kratzer势

本文研究了香农熵和费舍尔信息作为筛选的Kratzer势模型，并在三个维度上与筛选的库仑进行了比较。我们的结果表明位置和动量空间具有相似的高阶特征行为。我们的数值结果表明，在位置空间中发生的粒子位置预测精度提高。我们的结果表明，位置和动量熵的总和满足下界Berkner，Bialynicki-Birula和Mycieslki不等式。Fisher信息的Stam-Cramer-Rao不等式关系和期望值也满足不同的本征态。