dorsal/arxiv
View SchemaUniversal property of the information entropy in fermionic and bosonic systems
| Authors | S. E. Massen, Ch. C. Moustakidis, C. P. Panos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201102 |
| URL | https://arxiv.org/abs/quant-ph/0201102 |
| DOI | 10.1016/S0375-9601(02)00667-9 |
Abstract
It is shown that a similar functional form $S=a+b\ln N$ holds approximately for the information entropy S as function of the number of particles N for atoms, nuclei and atomic clusters (fermionic systems) and correlated boson-atoms in a trap (bosonic systems). It is also seen that rigorous inequalities previously found to hold between S and the kinetic energy T for fermionic systems, hold for bosonic systems as well. It is found that Landsberg's order parameter $\Omega$ is an increasing function of N for the above systems. It is conjectured that the above properties are universal i.e. they do not depend on the kind of constituent particles (fermions or correlated bosons) and the size of the system.
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"abstract": "It is shown that a similar functional form $S=a+b\\ln N$ holds approximately\nfor the information entropy S as function of the number of particles N for\natoms, nuclei and atomic clusters (fermionic systems) and correlated\nboson-atoms in a trap (bosonic systems). It is also seen that rigorous\ninequalities previously found to hold between S and the kinetic energy T for\nfermionic systems, hold for bosonic systems as well. It is found that\nLandsberg\u0027s order parameter $\\Omega$ is an increasing function of N for the\nabove systems. It is conjectured that the above properties are universal i.e.\nthey do not depend on the kind of constituent particles (fermions or correlated\nbosons) and the size of the system.",
"arxiv_id": "quant-ph/0201102",
"authors": [
"S. E. Massen",
"Ch. C. Moustakidis",
"C. P. Panos"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)00667-9",
"title": "Universal property of the information entropy in fermionic and bosonic systems",
"url": "https://arxiv.org/abs/quant-ph/0201102"
},
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