Relativistic and correlation effects in endohedrally confined atoms ($A@{\mathrm{C}}_{60}$) have been investigated using many-body techniques. The endohedral environment is approximated as an atom trapped in a spherically symmetric Gaussian annular square well model potential. The objective of the work is to present Shannon entropy as an indicator of (i) correlation effects and (ii) relativistic effects in confined atoms. The correlation energy in $\mathrm{Be}@{\mathrm{C}}_{60}$ is studied as a function of the depth of the confining potential to give some idea as to how Shannon's correlation entropy is sensitive to the minimum location of correlation energy. To see the prominent relativistic effects in the confined atom, Shannon's relativistic entropy of the valence subshell of $\mathrm{Ba}@{\mathrm{C}}_{60}$ is scrutinized for different confinement parameters. The influence of relativistic and correlation effects on the Shannon entropy of confined atoms is illustrated.

中文翻译：

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香农熵是受限原子中相关和相对论效应的指标

内六角约束原子的相对论和相关效应（$\mathrm{一种}@{\mathrm{C}}_{60}$）已使用多体技术进行了研究。内膜环境近似为陷于球形对称高斯环形方阱模型势中的原子。这项工作的目的是提出香农熵作为（i）相关效应和（ii）受限原子中相对论效应的指标。中的相关能量$是@{\mathrm{C}}_{60}$根据约束电位深度的函数进行研究，以给出有关香农相关熵如何对相关能量的最小位置敏感的一些想法。要查看受限原子中的显着相对论效应，香农的价子壳的相对论熵$巴@{\mathrm{C}}_{60}$详细检查不同的限制参数。说明了相对论和相关效应对受限原子的香农熵的影响。