Quantifying coherence is an essential endeavor for both quantum mechanical foundations and technologies. We present a bona fide measure of by utilizing the Tsallis relative operator (α,β)-entropy. first prove that proposed fulfills all criteria well defined measure, including strong monotonicity in resource theories coherence. then study ordering (α,β)-entropy coherence, α-entropies Rényi α-ent...

In this paper, we make the numerical analysis of mild solution which is also an entropy parabolic problem involving \(p(x)-\)Laplacian operator with \(L^1-\) data.

Standard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized entropy which is related with the Newton-Wigner position operator. Accordingly, whenever we trace over a region of space, we trace away degrees of freedom that are...

The ordered weighted averaging (OWA) operator by Yager (IEEE Trans Syst Man Cybern 1988; 18; 183–190) has received much more attention since its appearance. One key point in the OWA operator is to determine its associated weights. Among numerous methods that have appeared in the literature, we notice the maximum entropy OWA (MEOWA) weights that are determined by taking into account two appealin...

We introduce a class of discrete velocity BGK type approximations to multidimensional scalar nonlinearly diiusive conservation laws. We prove the well-posedness of these models, a priori bounds and kinetic entropy inequalities that allow to pass into the limit towards the unique entropy solution recently obtained by Carrillo. Examples of such BGK models are provided.