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Документ Surface waveguide States and Nanocatalyst Activity.(2016) Adamyan, Vadym M.; Popov, I. Yu; Bliniva, I. V.; Адамян, Вадим МовсесовичSpectral 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.