Effective Schroedinger dynamics on $ ε$-thin Dirichlet waveguides via Quantum Graphs I: star-shaped graphs

Physics – Mathematical Physics

Scientific paper

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in memory of Pierre Duclos

Scientific paper

We describe the boundary conditions at the vertex that one must choose to
obtain a dynamical system that best describes the low-energy part of the
evolution of a quantum system confined to a very small neighbourhood of a
star-shaped metric graph.

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