Implications of Form Invariance to the Structure of Nonextensive Entropies

Details Implications of Form Invariance to the Structure of Nonextensive Entropies Implications of Form Invariance to the Structure of Nonextensive Entropies

1999-04-07

arxiv.org/abs/quant-ph/9904029v1

Phys.Rev.Lett.83:1711,1999

Physics

Quantum Physics

8 pages

Scientific paper

10.1103/PhysRevLett.83.1711

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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