1975Journal of Mathematical PhysicsRequires access

Lattice Green’s function for the body−centered cubic lattice

Michiko Inoue

Open publisher page 17 citations

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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What this paper is about

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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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Lattice (music), Empty lattice approximation, Cubic crystal system, Reciprocal lattice, Mathematics, Lattice plane, Lattice field theory, Particle in a one-dimensional lattice

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