Inverse problems on Fermi systems and ionic crystals - Chen, N.-x.; Ren, G.-b. (Elsevier)
An inverse theorem on an infinite sum of alternating functions is first presented in this paper. The pairwise interaction between ions in a linear ionic chain is first solved by this theorem. The result provides an interesting check on evaluations of the Madelung constant. A new result on a Fermi system is also presented as another example. Of more importance, this work shows the potential application of number theory to physical problems.
http://linkinghub.elsevier.com/retrieve/pii/0375-9601(91)90658-U
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