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.

• Received 17 July 2020
• Revised 5 November 2020
• Accepted 6 November 2020

DOI:https://doi.org/10.1103/PhysRevA.102.052824