dorsal/arxiv
View SchemaUniversal property of the information entropy in atoms, nuclei and atomic clusters
| Authors | S. E. Massen, C. P. Panos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9802014 |
| URL | https://arxiv.org/abs/quant-ph/9802014 |
| DOI | 10.1016/S0375-9601(98)00524-6 |
| Journal | Phys.Lett. A246 (1998) 530-533 |
Abstract
The position- and momentum-space information entropies of the electron distributions of atomic clusters are calculated using a Woods-Saxon single particle potential. The same entropies are also calculated for nuclear distributions according to the Skyrme parametrization of the nuclear mean field. It turns out that a similar functional form S=a+b ln N for the entropy as function of the number of particles N holds approximately for atoms, nuclei and atomic clusters. It is conjectured that this is a universal property of a many-fermion system in a mean field. It is also seen that there is an analogy of our expression for S to Boltzmann's thermodynamic entropy S=k ln W.
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"abstract": "The position- and momentum-space information entropies of the electron\ndistributions of atomic clusters are calculated using a Woods-Saxon single\nparticle potential. The same entropies are also calculated for nuclear\ndistributions according to the Skyrme parametrization of the nuclear mean\nfield. It turns out that a similar functional form S=a+b ln N for the entropy\nas function of the number of particles N holds approximately for atoms, nuclei\nand atomic clusters. It is conjectured that this is a universal property of a\nmany-fermion system in a mean field. It is also seen that there is an analogy\nof our expression for S to Boltzmann\u0027s thermodynamic entropy S=k ln W.",
"arxiv_id": "quant-ph/9802014",
"authors": [
"S. E. Massen",
"C. P. Panos"
],
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"quant-ph"
],
"doi": "10.1016/S0375-9601(98)00524-6",
"journal_ref": "Phys.Lett. A246 (1998) 530-533",
"title": "Universal property of the information entropy in atoms, nuclei and atomic clusters",
"url": "https://arxiv.org/abs/quant-ph/9802014"
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