Creating a composite material ZnO-Bi2O3 with a core-shell structure for varistor ceramics

This paper discusses use of the plasma dynamic synthesis to obtain ZnO-Bi₂O₃composite powder. This method allows to get the main ZnO material with the formation of coreshell particles. Sintering of ceramics from this material was carried out using spark plasmasintering facility. Use of this sintering method provides obtaining a fine-grained structure of ZnO(average grain size of 1.3 μm). Comparison of the current-voltage characteristics of ceramicsfrom commercial and plasma dynamic materials showed promise of using a ZnO- Bi₂O₃composite with a core-shell structure

Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field

A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where $T\gg1$ is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form.Comment: 15 pages, no figure

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and a quadratic potential. The asymptotic parameter is 1/T, where $T\gg1$ is the adiabatic evolution time. A generalization of the Berry phase of the linear Schr\"odinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form.Comment: 13 pages, no figure