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

TitleEffective Schroedinger dynamics on $ ε$-thin Dirichlet waveguides via Quantum Graphs I: star-shaped graphs
Publication TypeJournal Article
Year of Publication2010
AuthorsDell'Antonio, G, Costa, E
JournalJ. Phys. A 43 (2010) 474014
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.

URLhttp://hdl.handle.net/1963/4106
DOI10.1088/1751-8113/43/47/474014

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