The Indirect Excitons Contribution to the Polarizability of a Dielectric Nanoparticle

Semiconductors - The optical properties of dielectric nanostructures strongly depend on dielectric nanoparticles (NP) polarizability which can take the high values even interacting with...     

Bounded Solutions of the Nonlinear Lyapunov Equation and Homoclinic Chaos

Ukrainian Mathematical Journal - We study bounded solutions of a nonlinear Lyapunov-type problem in Banach and Hilbert spaces. Necessary and sufficient conditions for the existence of bounded...     

On an exciton with a spatially separated electron and hole in quasi-zero-dimensional semiconductor nanosystems

The theory of an exciton with a spatially separated electron and hole (the hole is in the quantum dot volume, and the electron is localized at the outer spherical quantum dot-dielectric matrix interface) is developed within the modified effective mass method. The effect of significantly increasing the exciton-binding energy in quantum dots of zinc selenide, synthesized in a borosilicate glass matrix, relative to that in a zinc-selenide single crystal is revealed.     

Two-dimensional Wannier-Mott exciton in a uniform electric field

A new treatment of the problem of a two-dimensional Wannier-Mott exciton in a uniform electric field, based on the parabolic coordinates, is presented. The quasi-stationary Hamiltonian is regularized, and the efficient numerical methods are applied. The dependence of the exciton binding energy on the electric field is computed. The results are very close to those obtained by the perturbation theory calculations.     

Approximation of generalized bounded solutions of evolution equations with unbounded operator

We substantiate a parametrization method for a differential equation in a Banach space with an unbounded operator coefficient. We propose an algorithm for finding bounded generalized solutions with an arbitrary order of accuracy.