Can Sobolev Inequality Be Written for Sharma-Mittal Entropy?

Date

2008-12-01

Author

Akturk, O. Uzengi
Akturk, E.
Tomak, Mehmet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

203
views

0
downloads

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

Suggestions

OpenMETU
Core

The exponential of a constant matrix on time scales Zafer, Ağacık (Cambridge University Press (CUP), 2006-07-01) In this paper we describe an elementary method for calculating the matrix exponential on an arbitrary time scale. An example is also given to illustrate the result.
A General Approach for the Exact Solution of the Schrodinger Equation TEZCAN, CEVDET; Sever, Ramazan (Springer Science and Business Media LLC, 2009-02-01) The Schrodinger equation is solved exactly for some well known potentials. Solutions are obtained reducing the Schrodinger equation into a second order differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.
The radiative K* meson decays in QCD Alıyev, Tahmasıb; Iltan, E (Springer Science and Business Media LLC, 1996-06-01) The g(K0*K0 gamma) and g(K+*K+gamma) coupling constants and the radiative decay widths are calculated in the context of QCD sum rules. It is found that the discrepancy between the experimental data and theoretical results still exists.
Unified treatment of spacelike and timelike SO(3,1) Yang-Mills fields Dundarer, AR (Springer Science and Business Media LLC, 2001-07-01) SO(3, 1) valued Yang-mills fields stemming from spacelike and timelike vectors that were studied separately in earlier works are unified by introducing a parameter lambda that takes values in the interval [-1, 1].
A physical model for dimensional reduction and its effects on the observable parameters of the universe Karaca, Koray; Bayin, Selcuk (Springer Science and Business Media LLC, 2008-04-01) We construct a physical model to study the effects of dimensional reduction that might have taken place during the inflationary phase of the universe. The model we propose is a (1 + D)-dimensional (D > 3), nonsingular, spatially homogeneous and isotropic Friedmann model. We consider dimensional reduction to take place in a stepwise manner and interpret each step as a phase transition. Independent of the details of the process of dimensional reduction, we impose suitable boundary conditions across the transi...

Citation Formats

O. U. Akturk, E. Akturk, and M. Tomak, “Can Sobolev Inequality Be Written for Sharma-Mittal Entropy?,” INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, pp. 3310–3320, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36766.