Scattering theory with finite-gap backgrounds: Transformation operators and characteristic properties of scattering data

We develop direct and inverse scattering theory for Jacobi operators (doubly infinite second order difference operators) with steplike coefficients which are asymptotically close to different finite-gap quasi-periodic coefficients on different sides. We give necessary and sufficient conditions for the scattering data in the case of perturbations with finite second (or higher) moment.Comment: 23 page

Scattering Theory for Jacobi Operators with Steplike Quasi-Periodic Background

We develop direct and inverse scattering theory for Jacobi operators with steplike quasi-periodic finite-gap background in the same isospectral class. We derive the corresponding Gel'fand-Levitan-Marchenko equation and find minimal scattering data which determine the perturbed operator uniquely. In addition, we show how the transmission coefficients can be reconstructed from the eigenvalues and one of the reflection coefficients.Comment: 14 page

From Coulomb excitation cross sections to non-resonant astrophysical rates in three-body systems: 17^{17}Ne case

Coulomb and nuclear dissociation of $^{17}$Ne on light and heavy targets are studied theoretically. The dipole E1 strength function is determined in a broad energy range including energies of astrophysical interest. Dependence of the strength function on different parameters of the $^{17}$Ne ground state structure and continuum dynamics is analyzed in a three-body model. The discovered dependence plays an important role for studies of the strength functions for the three-body E1 dissociation and radiative capture. The constraints on the $[s^2]/[d^2]$ configuration mixing in $^{17}$Ne and on $p$-wave interaction in the $^{15}$O+$p$ channel are imposed based on experimental data for $^{17}$Ne Coulomb dissociation on heavy target.Comment: 12 pages, 13 figure

Methodology of formation and realization of competitive strategy of machine building enterprises

The article views approaches of the Russian and foreign scientists to development and realization of competitive strategy of enterprises. Necessity and importance of development of competitive strategy, oriented at formation of competitive advantages, methods, and means of competitive struggle, predetermined by increased competition and growth of consumers’ requirements to product quality. This process plays a very important role in machine building. Machine building is one of the strategically important spheres which ensure development and security of the country. At the same time, Russian machine building lags behind most of developed countries as to the level of development. Main reasons for such lagging behind are: inaccessibility of credit means, low investment and innovational provision, low qualification of management, and old production and technical base. In order to overcome the existing gap, it is necessary to develop long-term competitive strategy of development of machine building enterprises which ensures conquering certain markets of specific products. Based on the analysis of definitions of scientists and specialists in the sphere of strategic management, the notion “competitive strategy of enterprise” is specified. Methodology of formation and realization of enterprise’s strategy are viewed in detail. Specific examples of missions, strategic vision, and strategic goals of leading enterprises of machine building are given. Significance of development of competitive strategy for effective functioning and development of enterprise is shown. Features which distinguish the process of development and realization of competitive strategy from models of strategic planning that exist in scientific literature are determined. It is proved that development of competitive strategy requires paying special attention to analysis of competitive potential of enterprise and level of its competitive activity – for the purpose of creation of effective strategy which would fully express specifics of activities and individuality of enterprise.peer-reviewe