We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite systems. first derive inequality $\alpha$th ($0\leq\alpha\leq\frac{r}{2}, r\geq2$) power concurrence for any $2\otimes2\otimes2^{n-2}$ tripartite states generalize it to $n$-qubit states. In addition concurrence, we show that relations are satisfied by other correlation measures such as...

In this paper, we consider the following weakly coupled nonlinear Schr\"odinger system \begin{equation*} \left\{ \begin{array}{ll} -\epsilon^{2}\Delta u_1 + V_1(x)u_1 = |u_1|^{2p - 2}u_1 \beta|u_1|^{p 2}|u_2|^pu_1, & x\in \mathbb{R}^N,\\ u_2 V_2(x)u_2 |u_2|^{2p 2}u_2 \beta|u_2|^{p 2}|u_1|^pu_2, \mathbb{R}^N, \end{array} \right. \end{equation*} where $\epsilon>0$, $\beta\in\mathbb{R}$ is a coupl...

We prove a conjecture of D. Oberlin on the dimension unions lines in R n $\mathbb {R}^n$ . If d ⩾ 1 $d\geqslant 1$ is an integer, 0 ⩽ β $0\leqslant \beta \leqslant , and L set with Hausdorff at least 2 ( − ) + $2(d-1)+\beta$ then union has $d \beta$ Our proof combines refined version multilinear Kakeya theorem by Carbery Valdimarsson → linear argument Bourgain Guth.

Let $Gamma_{n,kappa}$ be the class of all graphs with $ngeq3$ vertices and $kappageq2$ vertex connectivity. Denote by $Upsilon_{n,beta}$ the family of all connected graphs with $ngeq4$ vertices and matching number $beta$ where $2leqbetaleqlfloorfrac{n}{2}rfloor$. In the classes of graphs $Gamma_{n,kappa}$ and $Upsilon_{n,beta}$, the elements having maximum augmented Zagreb index are determined.

Beta-2 adrenoceptors in blood vessels are one of the active factors that play a role in regulation of tissue blood flow. in diabetic angiopathy, responsiveness of these receptors is decreased, while that is increased in inflammation. According to these opposite effects, the aim of this study was to investigate the vasodilatory response of knee joint blood vessels to salbutamol (Beta-2 adreno...

Two-neutrino double-beta $(2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta})$ decay has been used to constrain the neutron-proton part of effective interactions, which in turn is compute nuclear matrix elements for neutrinoless decay, observation would have important consequences fundamental physics. We carefully examine $2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ within proton...

The SuperNEMO experiment will search for neutrinoless double-beta decay ($0\nu\beta\beta$), and study the Standard-Model process ($2\nu\beta\beta$). technology can measure energy of each electrons produced in a ($\beta\beta$) decay, reconstruct topology their individual tracks. spectrum requires very accurate calibration to be carried out periodically. Demonstrator Module calibrated using 42 so...

Abstract In this paper, we obtain bounds on the Wilson loop expectations in 4D $U(1)$ lattice gauge theory, which quantify effect of topological defects. case a Villain interaction, by extending non-perturbative technique introduced [24], following estimate for large $\gamma $ at low temperatures: |\langle W_\gamma \rangle _{\beta }|\leq \exp \Big (-\frac {C_{GFF}} {2\beta }(1+C \beta e^{- 2\pi...