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Lattice Green's Function for the Body‐Centered Cubic Lattice

### Abstract

The lattice Green's function for the body‐centered cubic (bcc) latticeis 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* ± *i*ε) for 0 < *t* < 1, ε → 0, is obtained. The expressions valid for *t* → ∞, , , 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*.

© 1971 The American Institute of Physics

Received 23 April 1970
Published online 28 October 2003