Evaluation of lattice sums using Poisson's summation formula. IV
- 1 November 1977
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 10 (11) , 1823-1831
- https://doi.org/10.1088/0305-4470/10/11/010
Abstract
For pt.III see ibid., vol.9, p.1801 (1976). Using Poisson's summation formula of dimensionality one or two, it is shown how a class of two-dimensional lattice sums involving modified Bessel functions can be reduced to rapidly convergent one-dimensional sums. The resulting formulae provide a simplification, and in many cases generalisation, of the ones obtained previously by Fetter (1975) and by Hautot (1975).Keywords
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