Michele Correggi
professor in mathematical physics
publications
preprints
W. Borrelli, M.C., D. Fermi, Pauli Hamiltonians with an Aharonov-Bohm Flux, arXiv:2312.11971 [math-ph] (2023).
M.C., E.L. Giacomelli, A. Kachmar, On the Ginzburg-Landau Energy of Corners, arXiv:2403.11286 [math-ph] (2024).
books
M.C., M. Falconi (eds.), Quantum Mathematics I, Springer INdAM Series 57, 2023.
M.C., M. Falconi (eds.), Quantum Mathematics II, Springer INdAM Series 58, 2023.
articles
M.C., D. Fermi, Schrödinger operators with multiple Aharonov-Bohm fluxes, Ann. H. Poincaré online (2024).
M.C., D. Fermi, Deficiency indices for singular magnetic Schrödinger operators, Milan J. Math. 92 (2024), 25–39.
A. Calignano, M.C., Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap, in Quantum Mathematics I, M. Correggi, M. Falconi (eds.), Springer INdAM Series 57 (2023), 335–356.
M.C., M. Falconi, M. Merkli, Quasi-Classical Spin-Boson Models, in Quantum Mathematics I, M. Correggi, M. Falconi (eds.), Springer INdAM Series 57 (2023), 107–127.
M.C., M. Falconi, M. Olivieri, Quasi-Classical Dynamics, J. Eur. Math. Soc. 25 (2023), 731–783.
M.C., M. Falconi, M. Olivieri, Ground State Properties in the Quasi-Classical Regime, Anal. PDE 16 (2023), 1745–1798.
M.C., E.L. Giacomelli, Almost Flat Angles in Surface Superconductivity, Nonlinearity 34 (2021), 7633–7661.
M.C., E.L. Giacomelli, Effects of Corners in Surface Superconductivity, Calc. Var. Partial Differential Equations 60 (2021), 236.
R. Carlone, M.C., M. Falconi, M. Olivieri, Emergence of Time-Dependent Point Interactions in Polaron Models, SIAM J. Math. Anal. 53 (2021), 4657–4691.
M.C., D. Fermi, Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators, J. Math. Phys. 62 (2021), 032101.
M.C., Surface Effects in Superconductors with Corners, Bull. Unione Mat. Ital. 14 (2021), 51–67.
R. Adami, R. Carlone, M.C., L. Tentarelli, Stability of the standing waves of the concentrated NLSE in dimension two, Mathematics in Engineering 3 (2021), 1–15.
R. Adami, R. Carlone, M.C., L. Tentarelli, Blow–up for the pointwise NLS in dimension two: absence of critical power, J. Differential Equations 269 (2020), 1–37.
M.C., M. Falconi, M. Olivieri, Magnetic Schrödinger Operators as the Quasi–Classical Limit of Pauli–Fierz–type Models, J. Spectr. Theory 9 (2019), 1287–1325.
M.C., R. Duboscq, D. Lundholm, N. Rougerie, Vortex Patterns in the Almost-Bosonic Anyon Gas, Europhys. Lett. 126 (2019), 20005.
R. Carlone, M.C., D. Finco, A. Teta, A Quantum Model of Feshbach Resonances, Ann. H. Poincaré 20 (2019), 2899–2935.
R. Carlone, M.C., L. Tentarelli, Well–posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity, Ann. Inst. H. Poincaré - Anal. Non Linéaire 36 (2019), 257–294.
M.C., L. Oddis, Hamiltonians for Two–Anyon Systems, Rend. Mat. Appl. 39 (2018), 277–292.
M.C., M. Falconi, Effective Potentials Generated by Field Interaction in the Quasi–Classical Limit, Ann. H. Poincaré 19 (2018), 189–235.
M.C., B. Devanarayanan, N. Rougerie, Universal and shape dependent features of surface superconductivity, Eur. Phys. J. B 90 (2017), 231.
M.C., D. Lundholm, N. Rougerie, Local Density Approximation for the Almost–bosonic Anyon Gas, Anal. PDE 10 (2017), 1169–1200.
R. Carlone, M.C., R. Figari, Two–dimensional Time–dependent Point Interactions, in Functional Analysis and Operator Theory for Quantum Physics, J. Dittrich, H. Kovarik, A. Laptev etds., 189–211, EMS Publishing House, 2017.
M.C., E.L. Giacomelli, Surface Superconductivity in Presence of Corners, Rev. Math. Phys. 29 (2017), 1750005.
M.C., D. Dimonte, On the Third Critical Speed for Rotating Bose–Einstein Condensates, J. Math. Phys. 57 (2016), 071901.
M.C., N. Rougerie, Effects of boundary curvature on surface superconductivity, Lett. Math. Phys. 106 (2016), 445–467.
M.C., N. Rougerie, Boundary Behavior of the Ginzburg–Landau Order Parameter in the Surface Superconductivity Regime, Arch. Rational Mech. Anal. 219 (2016), 553–606.
M.C., G. Dell'Antonio, D. Finco, A. Michelangeli, A. Teta, A Class of Hamiltonians for a Three–Particle Fermionic System at Unitarity, Math. Phys. Anal. Geom. 18 (2015), 1–36.
M.C., D. Finco, A. Teta, Energy lower bound for the unitary N+1 fermionic model, Europhys. Lett. 111 (2015), 10003.
M.C., A. Giuliani, R. Seiringer, Validity of the Spin–Wave Approximation for the Free Energy of the Heisenberg Ferromagnet, Commun. Math. Phys. 339 (2015), 279–307.
M.C., A. Giuliani, R. Seiringer, Validity of Spin Wave Theory for the Quantum Heisenberg Model, Europhys. Lett. 108, (2014) 20003.
M.C., N. Rougerie, On the Ginzburg–Landau Functional in the Surface Superconductivity Regime, Commun. Math. Phys. 332 (2014), 1297–1343; erratum Commun. Math. Phys. 338 (2015), 1451–1452.
M.C., N. Rougerie, Inhomogeneous Vortex Patterns in Rotating Bose–Einstein Condensates, Commun. Math. Phys. 321 (2013), 817–860.
M.C., A. Giuliani, The Free Energy of the Quantum Heisenberg Ferromagnet at Large Spin, J. Stat. Phys. 149 (2012), 234–245.
M.C., G. Dell'Antonio, D. Finco, A. Michelangeli, A. Teta, Stability for a System of N Fermions Plus a Different Particle with Zero–Range Interactions, Rev. Math. Phys. 24 (2012), 1250017.
M.C., F. Pinsker, N. Rougerie, J. Yngvason, Critical Rotational Speeds for Superfluids in Homogeneous Traps, J. Math. Phys. 53 (2012), 095203.
M.C., F. Pinsker, N. Rougerie, J. Yngvason, Rotating Superfluids in Anharmonic Traps: From Vortex Lattices to Giant Vortices, Phys. Rev. A 84 (2011), 053614.
M.C., F. Pinsker, N. Rougerie, J. Yngvason, Critical Rotational Speeds in the Gross–Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions, J. Stat. Phys. 143 (2011), 261–305.
M.C., N. Rougerie, J. Yngvason, The Transition to a Giant Vortex Phase in a Fast Rotating Bose–Einstein Condensate, Commun. Math. Phys. 303 (2011), 451–608.
M.C., J. Yngvason, Energy and Vorticity in Fast Rotating Bose–Einstein Condensates, J. Phys. A: Math. Theor. 41 (2008), 455002.
M.C., G. Dell'Antonio, D. Finco, Spectral Analysis of a Two Body Problem with Zero–Range Perturbation, J. Funct. Anal. 255 (2008), 502–531.
J.-B. Bru, M.C., P. Pickl, J. Yngvason, The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps, Commun. Math. Phys. 280 (2008), 517–560.
M.C., T. Rindler-Daller, J. Yngvason, Rapidly Rotating Bose–Einstein Condensates in Homogeneous Traps, J. Math. Phys. 48 (2007), 102103.
M.C., T. Rindler-Daller, J. Yngvason, Rapidly Rotating Bose–Einstein Condensates in Strongly Anharmonic Traps, J. Math. Phys. 48 (2007), 042104.
M.C., G. Dell'Antonio, Decay of a Bound State under a Time–Periodic Perturbation: A Toy Case, J. Phys. A: Math. Gen. 38 (2005), 4769–4781.
M.C., G. Dell'Antonio, R. Figari, A. Mantile, Ionization for Three Dimensional Time–Dependent Point Interactions, Commun. Math. Phys. 257 (2005), 169–192.
M.C., G. Dell'Antonio, Rotating Singular Perturbations of the Laplacian, Ann. Henri Poincaré 5 (2004), 773–808.
M.C., G. Morchio, Quantum Mechanics and Stochastic Mechanics for Compatible Observables at Different Times, Ann. Phys. 296 (2002), 371–389.
proceedings
M.C., Quasi-Classical Dynamics, Oberwolfach Rep. 16 (2019), 2592–2595.
R. Carlone, M.C., L. Tentarelli, An introduction to the two–dimensional Schrödinger equation with nonlinear point interactions, Nanosystems: Physics, Chemistry, Mathematics 9 (2018), 187–195.
M.C., D. Lundholm, N. Rougerie, Local Density Approximation for Almost–Bosonic Anyons, in Mathematical Problems in Quantum Physics, F. Bonetto, D. Borthwick, E. Harrell, M. Loss edts., Contemp. Math. 717, 77–92, AMS, 2018.
M.C., A. Giuliani, R. Seiringer, Low–Temperature Spin–Wave Approximation for the Heisenberg Ferromagnet, Proceedings of ICMP2015, Santiago de Chile, July 27 – August 1, 2015.
M.C., Boundary Behavior of the Ginzburg–Landau Order Parameter in the Surface Superconductivity Regime, Oberwolfach Rep. 11 (2014), 3019–3021.
M.C., F. Pinsker, N. Rougerie, J. Yngvason, Vortex Phases of Rotating Superfluids, J. Phys.: Conf. Ser. 414 (2013), 012034.
M.C., F. Pinsker, N. Rougerie, J. Yngvason, Giant Vortex Phase Transition in Rapidly Rotating Trapped Bose–Einstein Condensates, Eur. Phys. J. Special Topics 217 (2013), 183–188.
M.C., A Two–Particle Quantum System with Zero–Range Interaction, Séminaire X-EDP, Centre de Mathématiques Laurent Schwartz, Exp. N. 18 (2009), 1–17.