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Can Sobolev Inequality Be Written for Sharma-Mittal Entropy?
Date
2008-12-01
Author
Akturk, O. Uzengi
Akturk, E.
Tomak, Mehmet
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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 Posch-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.
Subject Keywords
Physics and Astronomy (miscellaneous)
,
General Mathematics
URI
https://hdl.handle.net/11511/36766
Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
DOI
https://doi.org/10.1007/s10773-008-9766-2
Collections
Department of Physics, Article