Scaling behaviour of Fisher and Shannon entropies for the exponential-cosine screened coulomb potential
| Autor: | Afaf Abdel-Hady, M. S. Abdelmonem, Ibraheem Nasser |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Physics
Biophysics 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Quantum number Information theory 01 natural sciences Exponential function 0103 physical sciences Trigonometric functions Entropy (information theory) Statistical physics Physical and Theoretical Chemistry 010306 general physics 0210 nano-technology Molecular Biology Scaling Eigenvalues and eigenvectors Physical quantity |
| Zdroj: | Molecular Physics. 115:1480-1492 |
| ISSN: | 1362-3028 0026-8976 |
| DOI: | 10.1080/00268976.2017.1299887 |
| Popis: | The scaling laws are given for the entropies in the information theory, including the Shannon's entropy, its power, the Fisher's information and the Fisher–Shannon product, using the exponential-cosine screened Coulomb potential. The scaling laws are specified, in the r-space, as a function of |μ − μc, nl|, where μ is the screening parameter and μc, nl its critical value for the specific quantum numbers n and l. Scaling laws for other physical quantities, such as energy eigenvalues, the moments, static polarisability, transition probabilities, etc. are also given. Some of these are reported for the first time. The outcome is compared with the available literatures’ results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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