Note on the lattice Green's function for the simple cubic lattice
- 7 June 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (11) , L232-L235
- https://doi.org/10.1088/0022-3719/8/11/002
Abstract
A simple recurrence relation connecting the lattice Green's function at (l, m, n) and the first derivatives of the lattice Green's function at (l+or-1, m, n), is presented for the simple cubic lattice. By making use of that recurrence relation, the lattice Green's functions at (2, 0, 0) and (3, 0, 0) are obtained in closed forms, which contain a sum of products of the complete elliptic integrals of the first and the second kind.Keywords
This publication has 5 references indexed in Scilit:
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