The Lattice Green Function for the Poisson Equation on an Infinite Square Lattice

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dc.creatorHollos, Stefan
dc.creatorHollos, Richard
dc.date2005-08-31
dc.date.accessioned2026-07-07T03:06:29Z
dc.date.available2026-07-07T03:06:29Z
dc.descriptionWe derive formulas for the matrix elements of the lattice Green function for the discrete Poisson equation on an infinite square lattice. The partial difference equation for the matrix elements is solved by reducing it to a series of first order difference equations, which can then be solved sequentially. These formulas are useful in solving two dimensional Poisson equation problems using the finite difference approximation.
dc.description6 pages, LaTeX created with LyX 1.3.5. For associated Maxima code see http://www.exstrom.com/lgf/lgf.html
dc.identifierhttps://arxiv.org/abs/cond-mat/0509002
dc.identifierhttp://arxiv.org/abs/cond-mat/0509002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26825
dc.subjectOther Condensed Matter
dc.titleThe Lattice Green Function for the Poisson Equation on an Infinite Square Lattice
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