Analytical evaluation of a class of lattice sums in arbitrary dimensions
- 7 June 1989
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 22 (11) , 1883-1897
- https://doi.org/10.1088/0305-4470/22/11/026
Abstract
Starting from the Poisson summation formula in m dimensions, a class of lattice sums is evaluated analytically. The resulting formulae provide a considerable generalisation of the results reported previously and are applicable to a variety of physical problems, especially to the analysis of finite-size effects in systems undergoing phase transitions.Keywords
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