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A new method of finding the surface-localized vibrational states of a crystal

V. I. PeresadaPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSRE. S. SyrkinPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR
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A new method is presented for calculating the vibrational states localized at the surfaces of a crystal for any values of the two-dimensional wave vector. In order to illustrate the method the surface states are investigated for a specific model of a crystal and its surface.

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