dorsal/arxiv
View SchemaImplications of Form Invariance to the Structure of Nonextensive Entropies
| Authors | A. K. Rajagopal, Sumiyoshi Abe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904029 |
| URL | https://arxiv.org/abs/quant-ph/9904029 |
| DOI | 10.1103/PhysRevLett.83.1711 |
| Journal | Phys.Rev.Lett.83:1711,1999 |
Abstract
The form invariance of the statement of the maximum entropy principle and the metric structure in quantum density matrix theory, when generalized to nonextensive situations, is shown here to determine the structure of the nonextensive entropies. This limits the range of the nonextensivity parameter to so as to preserve the concavity of the entropies. The Tsallis entropy is thereby found to be appropriately renormalized.
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"abstract": "The form invariance of the statement of the maximum entropy principle and the\nmetric structure in quantum density matrix theory, when generalized to\nnonextensive situations, is shown here to determine the structure of the\nnonextensive entropies. This limits the range of the nonextensivity parameter\nto so as to preserve the concavity of the entropies. The Tsallis entropy is\nthereby found to be appropriately renormalized.",
"arxiv_id": "quant-ph/9904029",
"authors": [
"A. K. Rajagopal",
"Sumiyoshi Abe"
],
"categories": [
"quant-ph",
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],
"doi": "10.1103/PhysRevLett.83.1711",
"journal_ref": "Phys.Rev.Lett.83:1711,1999",
"title": "Implications of Form Invariance to the Structure of Nonextensive Entropies",
"url": "https://arxiv.org/abs/quant-ph/9904029"
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