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arxiv: 1004.4750 · v2 · pith:C3WY4YKEnew · submitted 2010-04-27 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords graphsquantumstar-shapedsystembestboundarychooseconditions
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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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