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
Cubic crystal systemCubic formElliptic integralLattice (music)Tetragonal crystal systemMathematicsSimple cubic latticeGreen SSimple (philosophy)Elliptic functionCubic functionMathematical analysisPure mathematicsCondensed matter physicsPhysicsQuantum mechanicsPhase (matter)
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Publication Info
- Year
- 1971
- Type
- article
- Volume
- 12
- Issue
- 6
- Pages
- 981-986
- Citations
- 85
- Access
- Closed
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Cite This
Tohru Morita,
Tsuyoshi Horiguchi
(1971).
Lattice Green's Functions for the Cubic Lattices in Terms of the Complete Elliptic Integral.
Journal of Mathematical Physics
, 12
(6)
, 981-986.
https://doi.org/10.1063/1.1665692
Identifiers
- DOI
- 10.1063/1.1665692