@article {2018,
	title = {On real resonances for the three-dimensional, multi-centre point interaction},
	number = {SISSA;40/2018/MATE},
	year = {2018},
	author = {Alessandro Michelangeli and Raffaele Scandone}
}
@inbook {Olgiati2017,
	title = {Remarks on the Derivation of Gross-Pitaevskii Equation with Magnetic Laplacian},
	booktitle = {Advances in Quantum Mechanics: Contemporary Trends and Open Problems},
	year = {2017},
	pages = {257{\textendash}266},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {<p>The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation. We elucidate the steps needed to adapt to the magnetic case the proof of the derivation of the Gross-Pitaevskii equation within the {\textquoteleft}{\textquoteleft}projection counting{\textquoteright}{\textquoteright} scheme.</p>},
	isbn = {978-3-319-58904-6},
	doi = {10.1007/978-3-319-58904-6_15},
	url = {https://doi.org/10.1007/978-3-319-58904-6_15},
	author = {Alessandro Olgiati},
	editor = {Alessandro Michelangeli and Gianfausto Dell{\textquoteright}Antonio}
}
@article {2007,
	title = {Reduced density matrices and Bose-Einstein condensation},
	number = {SISSA;39/2007/MP},
	year = {2007},
	abstract = {Emergence and applications of the ubiquitous tool of reduced density matrices in the rigorous analysis of Bose Einstein condensation is reviewed, and new related results are added. The need and the nature of scaling limits of infinitely many particles is discussed, which imposes that a physically meaningful and mathematically well-posed definition of asymptotic condensation is placed at the level of marginals.\\nThe topic of correlations in the condensed state is addressed in order to show their influence at this level of marginals, both in the true condensed state and in the suitable trial functions one introduces to approximate the many-body structure and energy. Complete condensation is shown to be equivalently defined at any fixed k-body level, both for pure and mixed states. Further, it is proven to be equivalent to some other characterizations in terms of asymptotic factorization of the many-body state, which are currently present in the literature.},
	url = {http://hdl.handle.net/1963/1986},
	author = {Alessandro Michelangeli}
}
@article {2007,
	title = {Role of scaling limits in the rigorous analysis of Bose-Einstein condensation},
	journal = {J. Math. Phys. 48 (2007) 102102},
	number = {SISSA;14/2007/MP},
	year = {2007},
	abstract = {In the context of the rigorous analysis of Bose-Einstein condensation, recent achievements have been obtained in the form of asymptotic results when some appropriate scaling is performed in the Hamiltonian, and the limit of infinite number of particles is taken. In particular, two modified thermodynamic limits of infinite dilution turned out to provide an insight in this analysis, the so-\\ncalled Gross-Pitaevskii limit and the related Tomas-Fermi limit. Here such scalings are discussed with respect to their physical and mathematical motivations, and to the currently known results obtained within this framework.},
	doi = {10.1063/1.2783114},
	url = {http://hdl.handle.net/1963/1984},
	author = {Alessandro Michelangeli}
}
