@article {2010, title = {Effective Schroedinger dynamics on $ ε$-thin Dirichlet waveguides via Quantum Graphs I: star-shaped graphs}, journal = {J. Phys. A 43 (2010) 474014}, number = {arXiv.org;1004.4750v2}, year = {2010}, publisher = {IOP Publishing}, 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.}, doi = {10.1088/1751-8113/43/47/474014}, url = {http://hdl.handle.net/1963/4106}, author = {Gianfausto Dell{\textquoteright}Antonio and Emanuele Costa} }