Vertex coupling in quantum graphs: approximations by scaled Schroedinger operators

Abstract

We review recent progress in understanding the physical meaning of quantum graph models through analysis of their vertex coupling approximations.

22 pages, to appear in Proceedings of the ICM satellite conference "Mathematics in Science and Technology" (New Delhi, August 15-17, 2010); in the revised version some typos are corrected and a figure is reformatted

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Cited by in corpus (1)

• Graph-like asymptotics for the Dirichlet Laplacian in connected tubular domains