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Analytical evaluation of the lattice Green function for the face centered cubic lattice

2012/05/07 by B. A. Mamedov, Б. А. Мамедов, Mamedov, B. A.
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Approximation and Integration #Mathematical Physics (math-ph) #Metallurgy and Material Science #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1205.1359

4 pages

arxiv created 2012/05/07 · openalex publication_date 2012/05/07 · arxiv updated 2012/05/08 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

Abstract

An efficient calculation method is proposed for the face centered cubic (FCC) lattice Green function. The method is based on binomial expansion theorems, which is provide us establish analytical formulae through simple basic integrals. The resulting series present better convergence rates. Several acceleration techniques are combined to further improve the efficiency. The obtained results for the lattice Green function are in good agreement with the known numerical calculation results.

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