Publications
2010 - present
preprints
2022
2019
C. Cacciapuoti, D. Fermi, A. Posilicano, Scattering from local deformations of a semitransparent plane, J. Math. Anal. Appl. 473 (2019), 215–257.
R. Carlone, M. Correggi, D. Finco, A. Teta, A Quantum Model of Feshbach Resonances, Ann. Henri Poincaré 20 (2019), 2899–2935.
R. Carlone, M. Correggi, L. Tentarelli, Well-posedness of the Two-dimensional Nonlinear Schrödinger Equation with Concentrated Nonlinearity, Ann. Inst. H. Poincaré C – Anal. Non Linéaire 36 (2019), 257–294.
H. Cornean, D. Monaco, M. Moscolari, Parseval frames of exponentially localized magnetic Wannier functions, Commun. Math. Phys. 371 (2019), 1179–1230.
M. Correggi, R. Duboscq, D. Lundholm, N. Rougerie, Vortex Patterns in the Almost-Bosonic Anyon Gas, Europhys. Lett. 126 (2019), 20005.
M. Correggi, M. Falconi, M. Olivieri, Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz- type Models, J. Spectr. Theory 9 (2019), 1287–1325.
D. Fermi, Some remarks on a new exotic spacetime for time travel by free fall, in S. Cacciatori, B. Güneysu, S. Pigola (Eds.), ''Einstein Equations: Physical and Mathematical Aspects of General Relativity. DOMOSCHOOL 2018'', Birkhäuser, Cham, Springer Nature Switzerland AG, 2019.
D. Fermi, M. Gengo, L. Pizzocchero, On the necessity of phantom fields for solving the horizon problem in scalar cosmologies, Universe 5 (2019), 76.
S. Lorenzani, A microchannel flow application of a linearized kinetic Bhatnagar-Gross-Krook-type model for inert gas mixtures with general intermolecular forces, Phys. Fluids 31 (2019), 072001.
S. Lorenzani, Kinetic modeling for the time-dependent behavior of binary gas mixtures, AIP Conf.. Proceedings 2132, 130006 (2019).
M. Moscolari, G. Panati, Symmetry and localization for magnetic Schrödinger operators: Landau levels, Gabor frames, and all that, Acta Appl. Math. 162 (2019).
2018
F. Belgiorno, S.L. Cacciatori, D. Faccio. Hawking Radiation. From Astrophysical Black Holes to Analogous Systems in Lab, World Scientific Publishing Company, Singapore, 2018. ISBN: 9789814508537.
C. Cacciapuoti, D. Fermi, A. Posilicano, On inverses of Krein's Q-functions, Rend. Mat. Appl. (7) 39(2) (2018), 229-240, 12 pp.
M. Correggi, M. Falconi, Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit, Ann. Henri Poincaré 19 (2018), 189–235.
M. Correggi, L. Oddis, Hamiltonians for Two-Anyon Systems, Rend. Mat. Appl. 39 (2018), 277–292.
L. Desvillettes, S. Lorenzani, Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains, Journal of Mathematical Analysis and Applications, 467(2) (2018), 1100-1128.
M. Falconi, Concentration of cylindrical Wigner measures, Commun. Contemp. Math. 20(5) (2018), 1750055.
D. Fermi, L. Pizzocchero, A time machine for free fall into the past, Class. Quant. Grav. 35(16) (2018), 165003, 42 pp.
D. Fermi, L. Pizzocchero, Local Casimir Effect for a Scalar Field in Presence of a Point Impurity Symmetry 2018, 10(2) (2018), 20 pp.
G. Marcelli, D. Monaco, M. Moscolari, G. Panati, The Haldane model and its localization dichotomy, Rend. Mat. Appl. 39(2) (2018).
2017
Z. Ammari, M. Falconi, Bohr's correspondence principle for the renormalized Nelson model, SIAM J. Math. Anal. 49(6) (2017), 5031-5095.
F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza, Tunneling method for Hawking radiation in the Nariai case, Gen. Rel. Grav. 49 (2017), 109, 12 pp.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, M. Doronzo, Hopfield-Kerr model and analogue black hole radiation in dielectrics, Phys. Rev. D 96 (2017), 096024, 8 pp.
F. Belgiorno, S.L. Cacciatori, A. Viganò, Spectral boundary conditions and solitonic solutions in a classical Sellmeier dielectric, Eur. Phys. J. C 77 (2017), 404, 9 pp.
C. Cacciapuoti, D. Fermi, A. Posilicano, Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes, pp. 71-97 in G. F. Dell'Antonio, A. Michelangeli (Eds.), "Advances in Quantum Mechanics: contemporary trends and open problems", Springer (2017), 26 pp.
R. Carlone, M. Correggi, R. Figari, Two-dimensional Time-dependent Point Interactions, in Functional Analysis and Operator Theory for Quantum Physics, J. Dittrich, H. Kovařı́k, A. Laptex edts., EMS Publishing House (2017), 189–211.
M. Correggi, B. Devanarayanan, N. Rougerie, Universal and shape dependent features of surface superconductivity, Eur. Phys. J. B 90 (2017), 231.
M. Correggi, D. Lundholm, N. Rougerie, Local Density Approximation for the Almost-bosonic Anyon Gas, Anal. PDE 10 (2017), 1169–1200.
M. Falconi, J. Faupin, J. Froehlich, B. Schubnel, Scattering theory for Lindblad master equations, Comm. Math. Phys. 350(3) (2017), 1185-1218.
D. Fermi, L. Pizzocchero, Local zeta regularization and the scalar Casimir effect. A general approach based on integral kernels, World Scientific Publishing (2017).
B. Franchi, S. Lorenzani, Smoluchowski equation with variable coefficients in perforated domains: homogenization and applications to mathematical models in medicine, in Harmonic Analysis, Partial Differential Equations and Applications (eds. S. Chanillo, B. Franchi, G. Lu, C. Perez, E. T. Sawyer), Birkhäuser (2017), pp. 49-67.
S. Lorenzani, Semi-analytical methods of solution for the BGK-Boltzmann equation describing sound wave propagation in binary gas mixtures, in Innovative Algorithms and Analysis (eds. L. Gosse, R. Natalini), Springer Indam Series 16 (2017), pp. 289-311.
2016
Z. Ammari, M. Falconi, B. Pawilowski, On the rate of convergence for the mean field approximation of Bosonic many-body quantum dynamics, Commun. Math. Sci. 14(5) (2016), 1417-1442.
F. Belgiorno, S.L. Cacciatori, Stimulated emission in black holes and in analogue gravity, Gen. Rel. Grav. 48 (2016), 145, 22 pp.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, The Hopfield model revisited: Covariance and Quantization, Phys. Scr. 91 (2016), 015001, 13 pp.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, M. Doronzo, Exact quantisation of the relativistic Hopfield model, Annals Phys. 374 (2016), 338, 28 pp.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, M. Doronzo, Φ-Ψ model for Electrodynamics in dielectric media: exact quantisation in the Heisenberg representation, Eur. Phys. J. C 76 (2016), 308, 7 pp.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, M. Doronzo, Path integral quantization of the relativistic Hopfield model, Phys. Rev. D93 (2016), 065020, 13 pp.
M. Bisi, S. Lorenzani, High-frequency sound wave propagation in binary gas mixtures flowing through microchannels, Physics of Fluids, 28(5) (2016), 052003, 21 pp.
M. Correggi, D. Dimonte, On the Third Critical Speed for Rotating Bose-Einstein Condensates, J. Math. Phys. 57 (2016), 071901.
M. Correggi, N. Rougerie, Effects of boundary curvature on surface superconductivity, Lett. Math. Phys. 106 (2016), 445–467.
M. Correggi, N. Rougerie, Boundary Behavior of the Ginzburg-Landau Order Parameter in the Surface Superconductivity Regime, Arch. Rational Mech. Anal. 219 (2016), 553–606.
D. Fermi, L. Pizzocchero, Local zeta regularization and the scalar Casimir effect IV. The case of a rectangular box, Int. J. Mod. Phys. A 31(04&05) (2016), 1650003, 56 pp.
B. Franchi, S. Lorenzani, From a microscopic to a macroscopic model for Alzheimer disease: Two-scale homogenization of the Smoluchowski equation in perforated domains, Journal of Nonlinear Science, 26(3) (2016), 717-753.
2015
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, Hawking effect in dielectric media and the Hopfield model, Phys. Rev. D91, (2015) 124063, 18 pp.
M. Correggi, 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. Correggi, D. Finco, A. Teta, Energy lower bound for the unitary N+1 fermionic model, Europhys. Lett. 111 (2015), 10003.
M. Falconi, Self-Adjointness criterion for operators in Fock spaces, Math. Phys. Anal. Geom. 18(1) (2015).
D. Fermi, L. Pizzocchero, Local zeta regularization and the scalar Casimir effect III. The case with a background harmonic potential, Int. J. Mod. Phys. A 30(35) (2015), 1550213, 42 pp.
S. Lorenzani, Analysis of damping forces exerted by single-component gases and mixtures in high-frequency MEMS devices, in Memorie estese del XXII congresso dell´associazione italiana di meccanica teorica e applicata AIMETA 2015, pp. 459-468. Genova, 14-17 September, 2015.
2014
Z. Ammari, M. Falconi, Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy, J. Stat. Phys. 157(2) (2014), 330-364.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, Perturbative photon production in a dispersive medium, Eur. Phys. J. D 68 (2014), 134, 10 pp.
M. Bisi, S. Lorenzani, Damping forces exerted by rarefied gas mixtures in micro-electro- mechanical system devices vibrating at high frequencies, Interfacial Phenomena and Heat Transfer, 2(3) (2014), 253-263.
M.Correggi, A. Giuliani, R. Seiringer, Validity of Spin Wave Theory for the Quantum Heisenberg Model, Europhys. Lett. 108 (2014), 20003.
M. Correggi, 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.
N. Westerberg, S.L. Cacciatori, F. Belgiorno, F. Dalla Piazza, D. Faccio, Experimental quantum cosmology in time-dependent optical media, New J. Phys. 16 (2014), 075003, 15 pp.
2013
A. Bonucci, S. Lorenzani, Scaling laws for damping forces exerted by different gases in the near-free molecular flow regimes, Micro and Nanosystems 5 (2013), 303-316.
M. Correggi, N. Rougerie, Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates, Commun. Math. Phys. 321 (2013), 817–860.
D. Faccio, F. Belgiorno, S.L. Cacciatori, V. Gorini, S. Liberati, U. Moschella (Eds.), Analogue Gravity Phenomenology, Lecture Notes in Physics 870, Springer (2013).
D. Faccio, E. Rubino, A. Couairon, F. Belgiorno, F.D. Piazza, S.L. Cacciatori, Laser pulse propagation in relativistically time-dependent media, Proceedings of SPIE - The International Society for Optical Engineering 8623, article number 862319 (2013).
M. Falconi, Global Solution of the Electromagnetic Field-Particle System of Equations, J. Math. Phys. 55 (2013), 101502.
M. Petev, N. Westerberg, D. Moss, E. Rubino, C. Rimoldi, S.L. Cacciatori, F. Belgiorno, D. Faccio, Blackbody emission from light interacting with an effective moving dispersive medium, Phys. Rev. Lett. 111 (2013), 043902.
E. Rubino, F. Belgiorno, S.L. Cacciatori, D. Faccio, Laser pulse analogues for gravity, pp. 247-273 in D. Faccio, F. Belgiorno, S.L. Cacciatori, V. Gorini, S. Liberati, U. Moschella (Eds.), Analogue Gravity Phenomenology, Lecture Notes in Physics 870, Springer, 2013.
2012
F. Belgiorno, S. L. Cacciatori, F. Dalla Piazza, Quantum instability for charged particles on charged Nariai black hole manifolds: Exact 4D results for black hole discharge phenomenon, chapter published on invitation in 'Classical and Quantum Gravity: Theory, Analysis and Applications', Nova Publishers (2012).
M. Correggi, 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. Correggi, A. Giuliani, The Free Energy of the Quantum Heisenberg Ferromagnet at Large Spin, J. Stat. Phys. 149 (2012), 234–245.
M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, Critical Rotational Speeds for Superfluids in Homogeneous Traps, J. Math. Phys. 53 (2012), 095203.
F. Dalla Piazza, F. Belgiorno, S.L. Cacciatori, D. Faccio, Emission of correlated photon pairs from superluminal perturbations in dispersive media, Phys. Rev. A85 (2012), 033833, 8 pp.
L. Desvillettes, S. Lorenzani, Sound wave resonances in micro-electro-mechanical systems devices vibrating at high frequencies according to the kinetic theory of gases, Physics of Fluids 24 (2012), 092001.
L. Desvillettes, S. Lorenzani, Analytical and numerical computations for high frequency MEMS, Proceedings of 28th Int. Symp. on Rarefied Gas Dynamics, ed. American Institute of Physics, Vol. 1501, pp. 34-42 (2012).
M. Falconi, Classical limit of the Nelson model with cut off, J. Math. Phys. 54 (2012), 012303.
S. Lorenzani, Comment on “Velocity slip coefficients based on the hard-sphere Boltzmann equation” [Phys. Fluids 24, 022001 (2012)], Physics of Fluids 24 (2012), 079101, 3 pp.
S. Lorenzani, Fluid instabilities in precessing ellipsoidal shells. Theoretical background and numerical modeling, LAP LAMBERT Academic Publishing AG & Co KG (2012).
S. Lorenzani, L. Desvillettes, A kinetic approach for the evaluation of damping in microelectro-mechanical systems devices vibrating at high frequencies, Proceedings of 28th Int. Symp. on Rarefied Gas Dynamics, ed. American Institute of Physics, Vol. 1501, pp. 802-808 (2012).
E. Rubino, A. Lotti, F. Belgiorno, S.L. Cacciatori, A. Couairon, U. Leonhardt, D. Faccio, Soliton-induced relativistic-scattering and amplification, Scientific Reports 2 (2012), 932.
2011
F. Belgiorno, S.L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V.G. Sala, D. Faccio, Reply to comments on: Hawking radiation from ultrashort laser pulse filaments, Phys. Rev. Lett. 107 (2011) 149402.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, O.F. Piattella, Quantum properties of the Dirac field on BTZ black hole backgrounds, J. Phys. A: Math. Theor. 44 (2011), 025202, 17 pp.
F. Belgiorno, S.L. Cacciatori, G. Ortenzi, L. Rizzi, V. Gorini, D. Faccio, Dielectric Black Holes induced by a refractive index perturbation and the Hawking effect, Phys. Rev. D83 (2011), 024015, 17 pp.
M. Correggi, F. Pinsker, N. Rougerie, J. Yngvason, Rotating Superfluids in Anharmonic Traps: From Vortex Lattices to Giant Vortices, Phys. Rev. A 84 (2011), 053614.
M. Correggi, 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. Correggi, 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.
D. Fermi, L. Pizzocchero, Local zeta regularization and the Casimir effect, Prog. Theor. Phys. 126(3) (2011), 419, 15 pp.
S. Lorenzani, Higher order slip according to the linearized Boltzmann equation with general boundary conditions, Phil. Trans. R. Soc. A 369 (2011), 2228-2236.
E. Rubino, F. Belgiorno, S.L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, V.G. Sala, M. Kolesik, D. Faccio, Experimental evidence of analogue Hawking radiation from ultrashort laser pulse filaments, New J. Phys. 13 (2011), 085005, 33 pp.
2010
F. Belgiorno, S.L. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V.G. Sala, D. Faccio, Hawking radiation from ultrashort laser pulse filaments, Phys. Rev. Lett. 105 (2010), 203901.
F. Belgiorno, S.L. Cacciatori, F. Dalla Piazza, Quantum instability for charged scalar particles on charged Nariai and ultracold black hole manifolds, Class. Quant. Grav. 27 (2010), 055011, 19 pp.
F. Belgiorno, S.L. Cacciatori, G. Ortenzi, V.G. Sala, D. Faccio, Quantum radiation from superluminal refractive index perturbations, Phys. Rev. Lett. 104 (2010), 140403, 4 pp.
S.L. Cacciatori, F. Belgiorno, V. Gorini, G. Ortenzi, L. Rizzi, V.G. Sala, D. Faccio, Space-time geometries and light trapping in travelling refractive index perturbations, New J. Phys. 12 (2010), 095021.
C. Cercignani, S. Lorenzani, Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules, Physics of Fluids 22 (2010), 062004, 8 pp.
D. Faccio, F. Belgiorno, S. Cacciatori, M. Clerici, V. Gorini, G. Ortenzi, L. Rizzi, E. Rubino, V.G. Sala, Analogue gravity and ultrashort laser pulse filamentation, in Benjamin J. Eggleton, Alexander Luis Gaeta, Neil G. R. Broderick (Eds.), Nonlinear Optics and Applications IV, Proc. of SPIE Vol. 7728 (2010).