Title | Dynamics on a graph as the limit of the dynamics on a "fat graph" |

Publication Type | Preprint |

2014 | |

Authors | Dell'Antonio, G, Michelangeli, A |

Document Number | SISSA;69/2014/MATE |

Institution | SISSA |

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. | |

http://urania.sissa.it/xmlui/handle/1963/7485 |

Research Group: