Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral
- 1 June 1971
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (6) , 981-986
- https://doi.org/10.1063/1.1665692
Abstract
The real and imaginary parts of the lattice Green's functions for the simple cubic (actually the tetragonal), body‐centered cubic, and face‐centered cubic lattices, at the variable from −∞ to +∞, are expressed as a sum of simple integrals of the complete elliptic integral of the first kind. The results of the numerical calculations obtained with the aid of the formulas are shown by graphs.Keywords
This publication has 2 references indexed in Scilit:
- Lattice Green's Function for the Simple Cubic Lattice in Terms of a Mellin-Barnes Type IntegralJournal of Mathematical Physics, 1971
- Lattice Green's Function. IntroductionJournal of Mathematical Physics, 1971