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Abstract A comparative study of the atomic Renyi entropies for the exponential-cosine screened Coulomb potential (ECSCP), has been discussed. The study has been done by solving the Schrodinger equation in… Click to show full abstract
Abstract A comparative study of the atomic Renyi entropies for the exponential-cosine screened Coulomb potential (ECSCP), has been discussed. The study has been done by solving the Schrodinger equation in the Hylleraas-space, and within the framework of Ritz’s variational principle. Different wave functions for the 1s2-state of the helium isoelectronic series, in the Hylleraas-space with few variational parameters, have been used to calculate the Shannon and Renyi entropies. They are used to create a comparative study and discuss the scaling behavior of different physical quantities close to the ionization limit. The 3-dimension visualization of the Shannon and Renyi charge densities, as a function of the nuclear charge Z and the screening parameter μ , will be explained and discussed. Comparison with literature results is made, whenever possible.
Journal Title: Results in physics
Year Published: 2017
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