Lattice Green's Function for the Body-Centered Cubic Lattice
- 1 February 1971
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (2) , 230-231
- https://doi.org/10.1063/1.1665581
Abstract
The lattice Green's function for the body-centered cubic (bcc) lattice I(t)=1π3∫ ∫ 0π∫dx dy dzt±iε−cosxcosycoszis considered. With the use of the analytic continuation to complex value of t from Maradudin's result for t > 1, the value of the real and imaginary parts of the integral I(t ± iε) for 0 < t < 1, ε → 0, is obtained. The expressions valid for t → ∞, t≳1, t≲1, and t ∼ 0 are given. They are useful for analyzing the nature of the singularity and for carrying out numerical calculations in all regions of t.Keywords
This publication has 3 references indexed in Scilit:
- Divergence of the level density of the cubic latticesPhysics Letters A, 1970
- The spin wave Green's function for a body-centered two sub-lattice antiferromagnetJournal of Physics and Chemistry of Solids, 1969
- Scattering of phonons from a substitutional impurity in body-centred cubic and face-centred cubic latticesProceedings of the Physical Society, 1966