Can Sobolev inequality be written for Sharma-Mittal entropy?

O. Üzengi Aktürk, E. Aktürk, M. Tomak

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

12 Zitate (Scopus)

Abstract

In this paper, we focus on Sobolev inequality in the context of Sharma-Mittal entropy. Using this new inequality, generalized entropic uncertainty relation in accordance with Sharma-Mittal entropy is derived and the pseudoadditivity relation has been obtained. This new entropic uncertainty relation has then been applied to physical examples such as one dimensional harmonic oscillator and Pösch-Teller potential. Finally, it has been shown that for certain values of the parameters of Sharma-Mittal measure, the present results reduce to the corresponding results of Shannon, Renyi and Tsallis measures.

OriginalspracheEnglisch
Seiten (von - bis)3310-3320
Seitenumfang11
FachzeitschriftInternational Journal of Theoretical Physics
Jahrgang47
Ausgabenummer12
DOIs
PublikationsstatusVeröffentlicht - Dez. 2008
Extern publiziertJa

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