Abstract
AbstractThe lattice Green's function for thin films is defined by modifying the usual definition of the lattice Green's function for bulk crystals. This definition comprise the thin film wave functions and quantum numbers. The general case of complex boundary parameters (i.e. complex surface energies) is considered and the corresponding formulas for the wave functions are derived. For the s.c.(001) thin film the lattice Green's function is given as a sum of finite number of terms each of which includes a complete elliptic integral of the first kind. The results of the numerical calculation obtained with aid of this formula are shown by graphs.
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