@inbook {Olgiati2017,
	title = {Effective Non-linear Dynamics of Binary Condensates and Open Problems},
	booktitle = {Advances in Quantum Mechanics: Contemporary Trends and Open Problems},
	year = {2017},
	pages = {239{\textendash}256},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {<p>We report on a recent result concerning the effective dynamics for a mixture of Bose-Einstein condensates, a class of systems much studied in physics and receiving a large amount of attention in the recent literature in mathematical physics; for such models, the effective dynamics is described by a coupled system of non-linear Sch{\"o}dinger equations. After reviewing and commenting our proof in the mean-field regime from a previous paper, we collect the main details needed to obtain the rigorous derivation of the effective dynamics in the Gross-Pitaevskii scaling limit.</p>},
	isbn = {978-3-319-58904-6},
	doi = {10.1007/978-3-319-58904-6_14},
	url = {https://doi.org/10.1007/978-3-319-58904-6_14},
	author = {Alessandro Olgiati},
	editor = {Alessandro Michelangeli and Gianfausto Dell{\textquoteright}Antonio}
}
@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}
}
