Some Square Lattice Green Function Formulas
Stefan Hollos, Richard Hollos
TL;DR
This paper derives explicit formulas for the two-dimensional square lattice Green function's matrix elements along key directions and provides an asymptotic expression for diagonal elements, aiding in lattice analysis.
Contribution
It introduces new explicit formulas and asymptotic expressions for the square lattice Green function, enhancing analytical tools for lattice studies.
Findings
Explicit formulas for matrix elements along axes and diagonals
Asymptotic formula for diagonal elements
Improved understanding of lattice Green functions
Abstract
We derive formulas for the matrix elements of the two dimensional square lattice Green function along the diagonal, and along the coordinate axes. We also give an asymptotic formula for the diagonal elements.
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Taxonomy
TopicsMatrix Theory and Algorithms