Evaluation of a class of lattice sums in arbitrary dimensions
- 1 July 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (7), 1457-1460
- https://doi.org/10.1063/1.522693
Abstract
Starting from the Poisson summation formula in m dimensions, a class of lattice sums is evaluated analytically. The resulting formulas are applicable to the electronic‐structure studies of crystalline solids, the analysis of stability of quantized vortex arrays in extreme type‐II superconductors and in rotating superfluid helium, and the investigation of Bose–Einstein condensation in finite systems.Keywords
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