Complexity measures of electric screening effect in interstellar medium

Using the screening potential, we explore probability density properties in interstellar mediums (ISM) in information theory. With the eigenfunctions obtained for the screening potential using the Schrodinger equation, we studied the probability distribution for Shannon entropy, Fisher information, and their complexity measures for the values of n and l . From our numerical result, for Shannon entropy, we observed a more localized probability distribution in position and a decreasing localization in the momentum space as the values of n and l increases. For Fisher information, localization increases in the position space and, consequently, delocalization in their momentum spaces. The uncertainty relations of Shannon entropy and Fisher information were computed and satisfied the relations. For interstellar mediums, our findings align with Heinsberg’s uncertainty principle. Complexity measure was also studied for the interstellar mediums and our findings showed increasing disorder in the position space for increasing values of n and l . Furthermore, we extended the Debye-Hückel length to other regimes particularly, Magnetosphere ( D = 1 0 2 ) and Intergalactic Mediums ( D = 1 0 5 ) • Obtained the eigenvalue and the normalized wavefunction using the NUFA method. • Solved numerically the Shannon entropy, Fisher information, and their complexity measures. • Validated the uncertainty relations for Shannon (BBM) and Fisher information (Cramer Rao). • Extended the study to other plasma regimes – magnetosphere and intergalactic mediums.