The Rényi entropy, a comparative study for He-like atoms using the exponential-cosine screened Coulomb potential
| Autor: | Ibraheem Nasser, Afaf Abdel-Hady, Mostafa Zeama |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Series (mathematics) General Physics and Astronomy Charge (physics) 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Effective nuclear charge lcsh:QC1-999 Schrödinger equation Exponential function Rényi entropy symbols.namesake Variational principle Quantum mechanics 0103 physical sciences symbols Physics::Atomic Physics 010306 general physics 0210 nano-technology Wave function lcsh:Physics |
| Zdroj: | Results in Physics, Vol 7, Iss, Pp 3892-3900 (2017) |
| ISSN: | 2211-3797 |
| Popis: | A comparative study of the atomic Rényi entropies for the exponential-cosine screened Coulomb potential (ECSCP), has been discussed. The study has been done by solving the Schrödinger 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 Rényi 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 Rényi 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. Keywords: Variation method, Scaling, Helium isoelectronic series, Hylleraas coordinates, Shannon entropy, Rényi entropy |
| Databáze: | OpenAIRE |
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