Generalized quantum entropies

Generalized quantum entropies

A deduction of generalized quantum entropies within the Tsallis and Kaniadakis frameworks is derived using a generalization of the ordinary multinomial coefficient. This generalization is based on the respective deformed multiplication and division. We show that the two above entropies are consisten...

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Veröffentlicht in:Physics letters. A 2011-08, Vol.375 (35), p.3119-3123
Hauptverfasser: Santos, A.P., Silva, R., Alcaniz, J.S., Anselmo, D.H.A.L.
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Deduction
Deformation
Division
Entropy
Multiplication
Nonextensivity
Qantum statistical mechanics
Solid state physics
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Zusammenfassung:A deduction of generalized quantum entropies within the Tsallis and Kaniadakis frameworks is derived using a generalization of the ordinary multinomial coefficient. This generalization is based on the respective deformed multiplication and division. We show that the two above entropies are consistent with ones arbitrarily assumed at other contexts. ► Derivation of generalized quantum entropies. ► Generalized combinatorial method. ► Non-Gaussian quantum statistics.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2011.07.001