科研之友
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摘要
We demonstrate that any self-adjoint coupling in a quantum graph vertex can be approximated by a family of magnetic Schrodinger operators on a tubular network built over the graph. If such a manifold has a boundary, Neumann conditions are imposed at it. The procedure involves a local change of graph topology in the vicinity of the vertex; the approximation scheme constructed on the graph is subsequently %26apos;lifted%26apos; to the manifold. For the corresponding operator a norm-resolvent convergence is proved, with the natural identification map, as the tube diameters tend to zero.
- 出版日期2013-8
