Marco Falconi's Math Page
Mathematische Physik
Universität Tübingen
E-mail: marco.falconi [AT] uni-tuebingen.de
Research interests
- Wigner measures and Egorov-type Theorems in infinite dimensions
- Rigorous derivation of effective theories in condensed matter
- Scattering theory for linear and nonlinear evolution systems
- Projective pseudodifferential calculus
- Non-perturbative renormalization for Quantum Field Theories
Publications & Preprints
In reverse chronological order:
2019
- R. Carlone, M. Correggi, M.F., M. Olivieri
- Microscopic derivation of time-dependent point interactions, Preprint
Abstract & Metadata
- Microscopic derivation of time-dependent point interactions, Preprint
- M. Correggi, M.F., M. Olivieri
- Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models, J. Spectr. Theory, to appear
Abstract & Metadata
- Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models, J. Spectr. Theory, to appear
2018
- M.F.
- Cylindrical Wigner measures, Doc. Math. 23, 1677-1756
Abstract & Metadata
- Cylindrical Wigner measures, Doc. Math. 23, 1677-1756
- D. Dimonte, M.F., A. Olgiati
- Some rigorous aspects of fragmented condensation, Preprint
Abstract & Metadata
- Some rigorous aspects of fragmented condensation, Preprint
- M. Correggi, M.F.
- Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit, Ann. Henri Poincaré 19(1), 189-235
Abstract & Metadata
- Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit, Ann. Henri Poincaré 19(1), 189-235
- M.F.
- Concentration of cylindrical Wigner measures, Commun. Contemp. Math. 20 (5) 1750055
Abstract & Metadata
- Concentration of cylindrical Wigner measures, Commun. Contemp. Math. 20 (5) 1750055
2017
- Z. Ammari, M.F.
- Bohr's correspondence principle for the renormalized Nelson model, SIAM J. Math. Anal. 49(6), 5031-5095
Abstract & Metadata
- Bohr's correspondence principle for the renormalized Nelson model, SIAM J. Math. Anal. 49(6), 5031-5095
- M.F., J. Faupin, J. Froehlich, B. Schubnel
- Scattering theory for Lindblad master equations, Comm. Math. Phys. 350 (3), 1185-1218
Abstract & Metadata
- Scattering theory for Lindblad master equations, Comm. Math. Phys. 350 (3), 1185-1218
2016
- Z. Ammari, M. F., B. Pawilowski
- On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics, Commun. Math. Sci. 14 No. 5, 1417-1442
Abstract & Metadata
- On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics, Commun. Math. Sci. 14 No. 5, 1417-1442
- Z. Ammari, M.F.
- Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model, Preprint
Abstract & Metadata
- Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model, Preprint
2015
- M.F.
- Self-Adjointness criterion for operators in Fock spaces, Math. Phys. Anal. Geom. 18 No.1
Abstract, Intro & Metadata
- Self-Adjointness criterion for operators in Fock spaces, Math. Phys. Anal. Geom. 18 No.1
2014
- Z. Ammari, M. F.
- Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy, J. Stat. Phys. 157, No.2 330-364
Abstract, Intro & Metadata
- Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy, J. Stat. Phys. 157, No.2 330-364
2013
- M.F.
- Global Solution of the Electromagnetic Field-Particle System of Equations, J. Math. Phys. 55, 101502
Abstract, Intro & Metadata - Mean field limit of bosonic systems in partially factorized states and their linear combinations, Preprint
Abstract, Intro & Metadata
- Global Solution of the Electromagnetic Field-Particle System of Equations, J. Math. Phys. 55, 101502
2012
- M.F.
- Classical limit of the Nelson model with cut off, J. Math. Phys. 54, 012303
Abstract & Metadata
- Classical limit of the Nelson model with cut off, J. Math. Phys. 54, 012303
2008
- R. Bonezzi, M.F.
- Mode Regularization for N = 1, 2 SUSY Sigma Model, J. High Energy Phys. 10 (2008) 019
Abstract & Metadata
- Mode Regularization for N = 1, 2 SUSY Sigma Model, J. High Energy Phys. 10 (2008) 019
Affiliations
Current employment
Postdoc researcher at the Fachbereich Mathematik, Eberhard Karls Universität Tübingen.
Education
- Ph.D. in Mathematics. Alma Mater Studiorum, Università di Bologna.
- Dissertation : Classical limit of the Nelson model. pdf
- Advisor : Giorgio Velo.
- Committee : Piero D'Ancona, Alberto Parmeggiani, Marco Peloso.
- Defense : June 8, 2012.
- Master Degree in Theoretical Physics. Alma Mater Studiorum, Università di Bologna.
- Dissertation : On the regularization of phase-space path integral in curved manifolds. pdf
- Advisor : Fiorenzo Bastianelli.
- Grade : 110/110 with honours.
- Bachelor Degree in Physics. Alma Mater Studiorum, Università di Bologna.
- Dissertation : Sulla nozione di distinguibilità e degenerazione (in italian).
- Advisor : Loris Ferrari.
- Grade : 110/110 with honours.
Chronology
- January 2018 - Present. Postdoc at Eberhard Karls Universität Tübingen, Germany.
- April 2017 - December 2017. Postdoc at Universität Zürich, Switzerland.
- April 2016 - March 2017. Postdoc at Rome 3 University, Italy.
- October 2015 - March 2016. Research assistant at Universität Stuttgart, Germany.
- January 2014 - September 2015. Postdoc at CHL/IRMAR Rennes, France.
- July 2012 - June 2013. Postdoc at Mathematics Department, Bologna University, Italy.
- January 2009 - June 2012. Ph.D. student, Bologna University, Italy.
- September 2005 - December 2007. Master student, Bologna University, Italy.
- September 2002 - September 2005. Bachelor student, Bologna University, Italy.
Since October 2014 I am member of the International Association of Mathematical Physics (IAMP), of the French Mathematical Society (SMF), and of the European Mathematical Society (EMS). From January 2016, I am also member of the American Mathematical Society (AMS).
Dissemination
Courses and Teaching
- Tübingen
- Minicorso Sapienza
- Froehlich lectures in La Sapienza
- Cours de scattering - Giorgio Velo
- Cours doctoral
- Relations de commutation canoniques: représentations en systèmes fini ou infini-dimensionnels. Programme Notes du cours (manuscrites)
Presentations
- Semiclassical Analysis in AQFT. AQFT: Where Operator Algebra Meets Microlocal Analysis, Cortona. website slides
- Cylindrical Wigner Measures in Bosonic QFTs. 4th SwissMAP General Meeting, Grindelwald. website slides
- Potenziali effettivi nell'approssimazione quasi-classica. Assemblea Scientifica GNFM 2017. website slides (in italian)
- External Potentials Generated by the Interaction with a Semiclassical Field. Spectral Days 2017, Stuttgart. website slides
- Bohr's correspondence principle in the Nelson model. Mathematical quantum field theory and related topics, IMI Kyushu. pdf website
- Scattering theory in open quantum systems: Lindblad-type evolutions. Mathematical Challenges in Quantum Mechanics, Bressanone. pdf website
- Semiclassical Analysis in Infinite Dimensions: Wigner Measures. Seminari di Analisi Matematica Bruno Pini, Dipartimento di Matematica, Universita' di Bologna. To appear in BPMAS 2016 notes
- Bohr's correspondence principle and classical dressing renormalization in the Nelson model. 3rd Meeting ANR SQFT, Ile de Porquerolles (France). June 11th, 2015. pdf website
- Bounds on the convergence towards mean field dynamics for systems of many bosons. Rencontre LODIQUAS, Saint-Malo (France). December 9th, 2014. pdf website (lodiquas)
- Schrödinger-Klein-Gordon system as the classical limit of a Quantum Field Theory dynamics. Workshop on Dispersive equations with nonlocal dispersion - III, WPI Vienna. October 10th, 2014. pdf website
- Classical and mean field limit of field-particle systems. GDR DynQua annual meeting 2014, Roscoff. February 5th, 2014. pdf website
Divertissement
