Adamyan, Vadym M.Popov, I. YuBliniva, I. V.Адамян, Вадим Мовсесович2017-10-182017-10-182016Adamyan V. M. Surface waveguide states and nanocatalyst activity / V. M. Adamyan, I. Yu. Popov, I. V. Blinova // Electronic Journal of Theoretical Physics. – 2016. – Vol. 13, no. 35. – P. 173–190.https://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