Adamyan, Vadym M.Popov, I. YuBliniva, I. V.Адамян, Вадим Мовсесович2017-10-182017-10-182016Electronic Journal of Theoretical Physicshttps://dspace.onu.edu.ua/handle/123456789/11063Spectral problem for Schrodinger operator of half-crystal with surface impurities is considered. We use zero-range potentials model based on the theory of self-adjoint extensions of symmetric operators. The impurities are one-periodic chains of point-like potentials. The impurity leads to appearance of additional bands. The corresponding states are concentrated near the chain, i.e. it looks like a waveguide state. Hence, the electron density near the nanoparticle surface increases. This results in increasing of the catalytic activity of the nanoparticle.enSpectrumOperator Extensions TheoryCatalysisArticle