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Report 1996-18

An alternative to Ewald sums. Part I: Identities for sums

R. Sperb

Abstract: In this paper identities are derived which allow to compute the Coulomb energy associated with emN/em charges in a central cell and all their periodic images. These identities are all consequences of one basic identity which is obtained in a simple and straightforward way. It is possible to extend the results to other types of potentials as well.

Paper: Available as PDF (288 KB) or as hardcopy to order reports@sam.math.ethz.ch.

Publishing information: To appear in: J. Comp. Math. Appl. Mech. Engg., (1997)

 

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