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- W1556553741 abstract "We discuss how the vertex boundary conditions for the dynamics of a quantum particle constrained on a graph emerge in the limit of the dynamics of a particle in a tubular region around the graph (“fat graph”) when the transversal section of this region shrinks to zero. We give evidence of the fact that if the limit dynamics exists and is induced by the Laplacian on the graph with certain self-adjoint boundary conditions, such conditions are determined by the possible presence of a zero energy resonance on the fat graph. Pictorially, one may say that in the shrinking limit the resonance acts as a bridge connecting the boundary values at the vertex along the different rays." @default.
- W1556553741 created "2016-06-24" @default.
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- W1556553741 date "2015-01-01" @default.
- W1556553741 modified "2023-09-24" @default.
- W1556553741 title "Dynamics on a Graph as the Limit of the Dynamics on a “Fat Graph”" @default.
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- W1556553741 doi "https://doi.org/10.1007/978-3-319-16619-3_5" @default.
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