We consider magnetic Schr\"odinger operator $H=(i \nabla +A)^2-\alpha \delta_\Gamma$ with an attractive singular interaction supported by a piecewise smooth curve $\Gamma$ being local deformation of straight line. The field $B$ is supposed to be nonzero and local. show that the essential spectrum $[-\frac14\alpha^2,\infty)$, as for non-magnetic $\Gamma$, demonstrate sufficient condition discret...

Let $P$ be the isotropic nearest neighbor transition operator on a homogeneous tree. We consider $\lambda$-eigenfunctions of for $\lambda$ outside its $\ell^2$ spectrum, i.e., eigenfunctions with eigenvalue $\gamma=\lambda - 1$ Laplace $Delta=P- \mathbb I$, and also $\lambda-$polyharmonic functions, that is, union kernels $(Delta-\gamma I)^n$ $n\geqslant 0$. prove that, suitable Banach space ge...

Abstract—In this note, we consider the issue of parameter sensitivity in models based on alternative discrete time operators (ADTOs). A generic first order ADTO is proposed which encompasses all the known first order ADTOs introduced so far in the literature. New bounds on the operator parameters are derived, and a new algorithm is given for optimally selecting the parameters to give minimum pa...

We show that the matrix element of a local quark-gluon operator in the photon state, , can be calculated in lattice QCD. The result is generalized to other quantities involving spacelike photons, including the transition form factor gammagamma*-->pi(0) and the virtual-photon-nucleon Compton amplitude which can be used to define the generalized...

Corynebacteriophages beta and gamma are closely related but heteroimmune; hence, gamma reproduces in C7(beta). A series of gamma mutants, designated gamma-bin (beta-inhibited), has been isolated. They reproduce in only 2 to 14% of infected C7(beta) cells, and, as a result, plaque with an efficiency of 10(-4) to 10(-5) on this strain. The proportion of C7(beta) cells in which gamma-bin phage can...

The aim of the paper is to prove following result concerning moduli curve families in Heisenberg group. Let $\Omega$ be a domain group foliated by family $\Gamma$ legendrian curves. Assume that there quadratic differential $q$ on kernel an operator defined \cite{Tim2} and every horizontal trajectory for $q$. $l_\Gamma : \Omega \rightarrow ]0,+\infty[$ function associates point $p\in \Omega$, $q...

We investigate the pure annihilation type radiative $B$ meson decays $B^0 \to \phi \gamma$ and $B_s \rho^0(\omega)\gamma$ in soft-collinear effective theory. consider three types of contributions to decay amplitudes, including direct topology, contribution from electro-magnetic penguin operator neutral vector mixings. The numerical analysis shows that amplitudes are dominated by $\omega-\phi$ m...

In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and pro...

Background: Several landmine detection methods, based on nuclear techniques, have been suggested up to now. Neutron-induced gamma emission, neutron and gamma attenuation, and fast neutron backscattering are the nuclear methods used for landmine detection. In this paper an optimized (safe and effective) moderating structure using an 241Am-Be neutron source for detecting landmines has been invest...