Some Square Lattice Green Function Formulas

2005/08/31 by Stefan Hollos, Hollos, Stefan, Richard Hollos +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Matrix Theory and Algorithms #Other Condensed Matter (cond-mat.other) #cond-mat.other

paper · pdf · doi:10.48550/arxiv.cond-mat/0508779

7 pages, LaTex created with LyX 1.3.5. For associated Maxima code see http://www.exstrom.com/lgf/lgf.html (v2) added a reference

openalex publication_date 2005/08/31 · arxiv created 2006/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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