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A simple approach to evaluation of lattice sums
Authors:Subinay Dasgupta  D Sen  S Sengupta
Institution:(1) Physics Department, Jadavpur University, 700 032 Calcutta, India;(2) Solid State Physics Research Centre, Department of Physics, Presidency College, 700 073 Calcutta, India
Abstract:It is shown that starting from a Fourier transform relation one can derive, in a surprisingly simple manner, all the well-known results of lattice summation, that have been obtained so far by a complicated use of the Ewald theta transformation. We show that the Ewald transformation follows directly from the Fourier transform relation.
Keywords:Lattice sum  Ewald transformation  Fourier transformation
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