research
Publications
The Ground State Energy of a Two-Dimensional Bose Gas, S. Fournais, T. Girardot, L. Junge, L. Morin, M. Olivieri, Communications in Mathematical Physics, 405, 59 (2024).
Lower bounds on the energy of the Bose gas, S. Fournais, T. Girardot, L. Junge, L. Morin, M. Olivieri, Reviews in Mathematical Physics, online ready (2023).
Semiclassical analysis of quantum asymptotic fields in the Yukawa theory, Z. Ammari, M. Falconi, M. Olivieri, Journal of Differential Equations 357, pag. 236-274 (2023).
Ground State Properties in the Quasi-Classical Regime, M. Correggi, M. Falconi, M. Olivieri, Analysis and PDEs, 16(8), 1745–1798 (2023).
Quasi-classical dynamics, M. Correggi, M. Falconi, M. Olivieri, Journal of European Mathematical Society (2022), 25(2), 731-783 (2023).
On boundedness of isomerization paths for non- and semirelativistic molecules, I. Anapolitanos, M. Olivieri, S. Zalczer, arXiv:2212.11938 (2022).
The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case, M. Olivieri, in (eds) Quantum Mathematics II. INdAM 2022. Springer INdAM Series, vol 58. Correggi, M., Falconi, M. Springer, Singapore (2022).
Emergence of time-dependent point interactions in polaron models, R. Carlone, M. Correggi, M. Falconi, M. Olivieri, SIAM Journal of Mathematical Analysis 53, no. 4, pag. 4657-4691.
Magnetic Schrödinger operators as the quasi-classical limit of Pauli–Fierz-type models, M. Correggi, M. Falconi, M. Olivieri, Journal of Spectral Theory 9, no. 4, pag. 1287–1325 (2019).
On the Inverse Spectral Problems for Quantum Graphs, M. Olivieri, D. Finco, in: A. Michelangeli, G. Dell'Antonio, (eds) Advances in Quantum Mechanics, Springer INdAM Series, vol 18. Springer (2017).
PhD Thesis
Quasi-classical Dynamics of Quantum Particles Interacting with Radiation, M. Olivieri (2020), "Sapienza" University of Rome. Advisors: M. Correggi, M. Falconi.
Talks
06/02/2024: Invited PhD lecture in Politecnico di Milano, Italy
title: "A novel method for the derivation of the free energy expansion of the Bose gases"
18/09/2023: Invited talk at the MYRAMP (Mini-workshop for Young Researchers on Analysis and Mathematical Physics) in Ewha Womans University, Seoul (Republic of Korea)
title: "The energy of the dilute Bose gases in thermodynamic regime".
2023: Invited talk in Ludwig Maximilian University of Munich (LMU)
title: "Lee-Huang-Yang expansion for the dilute Bose gases in the thermodynamic regime in two and three dimension"
2023: Invited talk at the "29th Nordic Congress of Mathematicians with EMS", in Aalborg University, Denmark.
title: "Semiclassical limit for the Yukawa interaction: derivation of an effective scattering theory"
2023: Invited talk in Sapienza, University of Rome, for the cycle of Mathematical Physics seminar.
title: "Universality of the energy expansion for the dilute Bose gases in the thermodynamic regime"
2023: Invited talk at the conference "Trails in Quantum Mechanics and Surroundings (90th Gianfausto Dell'Antonio birthday)", SISSA, Trieste (Italy).
title: "Lee-Huang-Yang type expansion for the energy of the 2D dilute Bose gases".
2022: Contributed talk at the conference "QMath 15", UC Davis, California
title: "The energy of the 2D dilute Bose gas: a lower bound".
2022: Contributed talk at the workshop II "Indam Quantum Meetings",
title: "Casimir-Polder effect for an atom interacting with a conductor wall".
2022: Talk [online] at Mathematical Challenges in Quantum Mechanics Seminar,
title: "Wigner measure approach for the mean field limit in Many Body Quantum Mechanics".
2021: Invited Talk [online] at Bilbao Analysis and PDE seminar 2021, BCAM in Bilbao (Spain),
title: "Ground State approximation in Quasi-Classical regime for Quantum Fields models".
from a joint work with M. Correggi and M. Falconi.
2021: invited Talk [online] at Postgraduate Forum in Lancaster University (UK),
title: "Quasi- and Semi-Classical Quantum Field Theories".
2021: Contributed talk [online] at the conference “Mathematics of Condensed Matter and Beyond”, Center for Advanced Mathematical Sciences (CAMS), American University of Beirut (Lebanon),
title: “Isomerization reactions for pseudo-relativistic molecules",
from a joint work with I. Anapolitanos, S. Zalczer.
2021: Invited Talk at Karlsruhe Institute of Technology (KIT) (Germany),
title: “Schrödinger operators as semi-classical effective models for QFT: ground state properties”,
from a joint work with M. Correggi, M. Falconi.
For the cycle: “AG Seminar, Mathematische Physik”.
2020: Talk at Karlsruhe Institute of Technology (KIT) (Germany),
title: “Compactness of paths of isomerization for pseudo-relativistic molecules”,
from a joint work with I. Anapolitanos, S. Zalczer.
For the cycle: “CRC1173 seminars”.
2020: PhD defense at Sapienza University of Rome (Italy),
title: “Quasi-Classical Dynamics of Quantum Particles Interacting with Radiation",
Committee: A. Giuliani (president), D. Benedetto, D. Noja.
2019: Talk at Sapienza University of Rome (Italy),
title: “Quasi-Classical Dynamics of Systems of Particles Interacting with Bosonic Fields",
for the cycle of “Mathematical Physics seminars",
Seminar related to PhD Thesis.
2019: Contributed Talk at the workshop "Spectral Theory & Semiclassical Analysis" in Institute Mittag-Leffler, Stockholm (Sweden),
title: "Derivation of Time-Dependent point interactions from polaron models",
from a joint work with R. Carlone, M. Correggi, M. Falconi.
2018: Contributed Talk at the conference "Gran Sasso Quantum Meetings: from many particles quantum systems to quantum fluids", in GSSI (Italy),
title: "Microscopic Derivation of time-dependent point interactions in ionization models",
from a joint work with R. Carlone, M. Correggi, M. Falconi.
2018: Invited Talk in "Université de Rennes I" (France),
title: "Derivation of Magnetic Laplacians from Microscopic Models",
from a joint work with M. Correggi, M. Falconi.
2018: Contributed Talk at the conference "Mathematical Challenges in Quantum Mechanics" in "Sapienza", University of Rome (Italy),
title: "Quasi-Classical limit for the Pauli-Fierz model",
from a joint work with M. Correggi, M. Falconi.
2018: Talk in "Sapienza", University of Rome (Italy),
title: "The Mathematical Theory of Mechanics: between Classical and Quantum",
for the cycle "Young researcher seminar".