Effective Schrödinger dynamics on ε-thin Dirichlet waveguides via quantum graphs: I. Star-shaped graphs
G F Dell'AntonioMathematical Physics Sector, SISSA, via Beirut 2-4, 34151 Trieste ItalyE CostaMathematical Physics Sector, SISSA, via Beirut 2-4, 34151 Trieste Italy
2010en
ABI
Abstract
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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