Laplacians on lattices

Details Laplacians on lattices Laplacians on lattices

2004-12-12

arxiv.org/abs/hep-th/0412117v1

J.Nonlin.Math.Phys. 12 (2005) 530-538

Physics

High Energy Physics

High Energy Physics - Theory

11 pages including pictures

Scientific paper

We consider some lattices and look at discrete Laplacians on these lattices.
In particular we look at solutions of the equation $\triangle(1)\phi =
\triangle(2)Z$ where $\triangle(1)$ and $\triangle(2)$ are two such laplacians
on the same lattice. We discuss solutions of this equation in some special
cases.

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