On some discrete model of the magnetic Laplacian

Details On some discrete model of the magnetic Laplacian On some discrete model of the magnetic Laplacian

2004-10-18

arxiv.org/abs/math-ph/0410043v1

Physics

Mathematical Physics

13 pages

Scientific paper

We construct some intrinsically defined discrete model of the magnetic
Laplacian. The existence and uniqueness of solutions of the Dirichlet problem
for the difference Poisson type equation are proved. We study in detail
properties of the discrete model including the limiting process in the
two-dimensional Euclidean case.

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