Lattice Green’s function for the body−centered cubic lattice
Michiko Inoue
Abstract
Michiko Inoue
Abstract
We have shown that the lattice Green’s function at an arbitrary site with nearest neighbor interactions for the body−centered cubic lattice is expressed as a finite sum of products of the complete elliptic integrals of the first and the second kinds with real values of moduli for the entire range of energy.
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We have shown that the lattice Green’s function at an arbitrary site with nearest neighbor interactions for the body−centered cubic lattice is expressed as a finite sum of products of the complete elliptic integrals of the first and the second kinds with real values of moduli for the entire range of energy.
Key concepts: Lattice (music), Empty lattice approximation, Cubic crystal system, Reciprocal lattice, Mathematics, Lattice plane, Lattice field theory, Particle in a one-dimensional lattice