dorsal/arxiv
View SchemaNet Fisher information measure versus ionization potential and dipole polarizability in atoms
| Authors | K. D. Sen, C. P. Panos, K. Ch. Chatzisavvas, Ch. C. Moustakidis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610129 |
| URL | https://arxiv.org/abs/quant-ph/0610129 |
| DOI | 10.1016/j.physleta.2006.12.044 |
Abstract
The net Fisher information measure, defined as the product of position and momentum Fisher information measures and derived from the non-relativistic Hartree-Fock wave functions for atoms with Z=1-102, is found to correlate well with the inverse of the experimental ionization potential. Strong direct correlations of the net Fisher information are also reported for the static dipole polarizability of atoms with Z=1-88. The complexity measure, defined as the ratio of the net Onicescu information measure and net Fisher information, exhibits clearly marked regions corresponding to the periodicity of the atomic shell structure. The reported correlations highlight the need for using the net information measures in addition to either the position or momentum space analogues. With reference to the correlation of the experimental properties considered here, the net Fisher information measure is found to be superior than the net Shannon information entropy.
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"abstract": "The net Fisher information measure, defined as the product of position and\nmomentum Fisher information measures and derived from the non-relativistic\nHartree-Fock wave functions for atoms with Z=1-102, is found to correlate well\nwith the inverse of the experimental ionization potential. Strong direct\ncorrelations of the net Fisher information are also reported for the static\ndipole polarizability of atoms with Z=1-88. The complexity measure, defined as\nthe ratio of the net Onicescu information measure and net Fisher information,\nexhibits clearly marked regions corresponding to the periodicity of the atomic\nshell structure. The reported correlations highlight the need for using the net\ninformation measures in addition to either the position or momentum space\nanalogues. With reference to the correlation of the experimental properties\nconsidered here, the net Fisher information measure is found to be superior\nthan the net Shannon information entropy.",
"arxiv_id": "quant-ph/0610129",
"authors": [
"K. D. Sen",
"C. P. Panos",
"K. Ch. Chatzisavvas",
"Ch. C. Moustakidis"
],
"categories": [
"quant-ph",
"nlin.AO",
"physics.chem-ph"
],
"doi": "10.1016/j.physleta.2006.12.044",
"title": "Net Fisher information measure versus ionization potential and dipole polarizability in atoms",
"url": "https://arxiv.org/abs/quant-ph/0610129"
},
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