Professor
Mathematics and Science Department
Michelangeli, Alessandro
MB 242
(+359 73) 888 440
Monographs
Gallone, M., & Michelangeli, A. (2023). Self-adjoint extension schemes and modern applications to quantum Hamiltonians. Springer. https://doi.org/10.1007/978-3-031-10885-3
Caruso, N. A., & Michelangeli, A. (2021). Inverse linear problems on Hilbert space and their Krylov solvability. Springer. https://doi.org/10.1007/978-3-030-88159-7
Cassano, B., Cunden, F. D., Gallone, M., Ligabò, M., & Michelangeli, A. (Eds.). (2025). Springer INdAM Series: Vol. 64. Singularities, asymptotics, and limiting models. Springer. https://doi.org/10.1007/978-981-96-3584-9
Cintio, A., & Michelangeli, A. (Eds.). (2023). Trails in modern theoretical and mathematical physics. A volume in tribute to Giovanni Morchio. Springer. https://doi.org/10.1007/978-3-031-44988-8
Georgiev, V., Michelangeli, A., & Scandone, R. (Eds.). (2022). Springer INdAM Series: Vol. 52. Qualitative properties of dispersive PDEs. Springer. https://doi.org/10.1007/978-981-19-6434-3
Michelangeli, A. (Ed.). (2021). Springer INdAM Series: Vol. 42. Mathematical challenges of zero-range physics. Springer. https://doi.org/10.1007/978-3-030-60453-0
Dell'Antonio, G. & Michelangeli, A. (Ed.). (2017). Springer INdAM Series: Vol. 18. Advances in Quantum Mechanics: Contemporary trends and open problems. Springer. https://doi.org/10.1007/978-3-319-58904-6
Caruso, N.A., Michelangeli, A. (2025). Open Problems and Perspectives on Solving Friedrichs Systems by Krylov Approximation. In B. Cassano, F.D. Cunden, M. Gallone, M. Ligabò, & A. Michelangeli (Eds.). Springer INdAM Series: Vol. 64. Singularities, asymptotics, and limiting models (pp 333–351). Springer. https://doi.org/10.1007/978-981-96-3584-9_14
Albeverio, S., & Michelangeli, A. (2023). Giovanni Morchio (1948-2021). In A. Cintio, & A. Michelangeli (Eds.), Trails in modern theoretical and mathematical physics. A volume in tribute to Giovanni Morchio (pp. 3-7). Springer. https://doi.org/10.1007/978-3-031-44988-8_1
Michelangeli, A. (2023). Teachings and legacy of a theoretical physicist. In A. Cintio, & A. Michelangeli (Eds.), Trails in modern theoretical and mathematical physics. A volume in tribute to Giovanni Morchio (pp. 285–289). Springer. https://doi.org/10.1007/978-3-031-44988-8_26
Georgiev, V., Michelangeli, A., & Scandone, R. (2022). Schrödinger flow’s dispersive estimates in a regime of re-scaled potentials. In V. Georgiev, A. Michelangeli, & R. Scandone (Eds.), Springer INdAM Series: Vol. 52. Qualitative properties of dispersive PDEs (pp. 111–125). Springer. https://doi.org/10.1007/978-981-19-6434-3_5
Gallone, M., Michelangeli, A., & Pozzoli, E. (2022). Heat equation with inverse-square potential of bridging type across two half-lines. In V. Georgiev, A. Michelangeli, & R. Scandone (Eds.), Springer INdAM Series: Vol. 52. Qualitative properties of dispersive PDEs (pp. 141–164). Springer. https://doi.org/10.1007/978-981-19-6434-3_7
Gallone, M., Michelangeli, A., & Ottolini, A. (2021). Kreı̆n-Višik-Birman self-adjoint extension theory revisited. In A. Michelangeli (Ed.), Springer INdAM Series: Vol. 42. Mathematical challenges of zero-range physics (pp. 239–304). Springer. https://doi.org/10.1007/978-3-030-60453-0_12
Khotyakov, M., & Michelangeli, A. (2021). Translation and adaptation from Russian of M. Sh. Birman, “On the theory of self-adjoint extensions of positive definite operators”, Math. Sb. 28 (1956), 431–450. In A. Michelangeli (Ed.), Springer INdAM Series: Vol. 42. Mathematical challenges of zero-range physics (pp. 305–329). Springer. https://doi.org/10.1007/978-3-030-60453-0_13
Dell’Antonio, G., & Michelangeli, A. (2015). Dynamics on a graph as the limit of the dynamics on a “fat graph”. In D. Mugnolo (Ed.), Springer Proceedings in Mathematics & Statistics: Vol 128. Mathematical Technology of Networks (pp. 49–64). Springer. https://doi.org/10.1007/978-3-319-16619-3_5
Journal Articles
Michelangeli, A. (2024). On creating new essential spectrum by self-adjoint extension of gapped operators. Annals of Functional Analysis, 15(2), Article 18. https://doi.org/10.1007/s43034-024-00319-y
Dugandžija, N., Michelangeli, A., & Vojnović, I. (2024). Generalised solutions to linear and non-linear Schrödinger-type equations with point defect: Colombeau and non-Colombeau regimes. Expositiones Mathematicae, 42(2), Article 125533. https://doi.org/10.1016/j.exmath.2023.125533
Georgiev, V., Michelangeli, A., & Scandone, R. (2024). Standing waves and global well-posedness for the 2d Hartree equation with a point interaction. Communications in Partial Differential Equations, 49(3), 242–278. https://doi.org/10.1080/03605302.2024.2338534
Caruso, N. A., Michelangeli, A., & Ottolini, A. (2023). On a comparison between absolute and relative self-adjoint extension schemes. Quaestiones Mathematicae, 47(1), 219–237. https://doi.org/10.2989/16073606.2023.2209282
Lee, J., & Michelangeli, A. (2023). On the characterisation of fragmented Bose-Einstein condensation and its emergent effective evolution. Nonlinearity, 36(12), 6364-6402. https://doi.org/10.1088/1361-6544/ad027a
Caruso, N. A., & Michelangeli, A. (2023). Krylov solvability under perturbations of abstract inverse linear problems. Journal of Applied Analysis, 29(1), 3-29. https://doi.org/10.1515/jaa-2022-2004
Michelangeli, A., & Santamaria, N. (2022). Lieb–Robinson bounds and growth of correlations in Bose mixtures. Asymptotic Analysis, 130(1-2), 233-259. https://doi.org/10.3233/ASY-211750
Gallone, M., Michelangeli, A., & Pozzoli, E. (2022). Quantum geometric confinement and dynamical transmission in Grushin cylinder. Reviews in Mathematical Physics, 34 (7), Article 2250018. https://doi.org/10.1142/S0129055X22500180
Caruso, N. A., & Michelangeli, A. (2022). Convergence of the conjugate gradient method with unbounded operators. Operator and Matrices, 16(1), 35-68. https://doi.org/10.7153/oam-2022-16-05
Cintio, A., & Michelangeli, A. (2021). Self-adjointness in quantum mechanics: A pedagogical path. Quantum Studies: Mathematics and Foundations, 8(3), 271–306. https://doi.org/10.1007/s40509-021-00245-x
Gallone, M., & Michelangeli, A. (2021). Quantum particle across Grushin singularity. Journal of Physics A: Mathematical and Theoretical, 54(21), Article 215201. https://doi.org/10.1088/1751-8121/abeb81
Michelangeli, A. (2021). Models of zero-range interaction for the bosonic trimer at unitarity, Reviews in Mathematical Physics, 33(4), Article 2150010. https://doi.org/10.1142/S0129055X21500100
Lotoreichik, V., & Michelangeli, A. (2021). Faber-Krahn inequalities for Schrödinger operators with point and with Coulomb interactions, Journal of Mathematical Physics, 62(1), Article 012105. https://doi.org/10.1063/5.0014360
Michelangeli, A., & Scandone, R. (2021). On real resonances for three-dimensional Schrödinger operators with point interactions. Mathematics in Engineering, 3(2), 1-14. https://doi.org/10.3934/mine.2021017
Caruso, N.A., & Michelangeli, A. (2021). Krylov solvability of unbounded inverse linear problems. Integral Equations and Operator Theory, 93(1), Article 1. https://doi.org/10.1007/s00020-020-02616-2
Caruso, N.A., Michelangeli, A., & Novati, P. (2021). On general convergence behaviours of finite-dimensional approximants for abstract linear inverse problems. Asymptotic Analysis, 127(1-2), 167-189. https://doi.org/10.3233/ASY-211678
Gallone, M., & Michelangeli, A. (2020). Self-Adjoint extensions with Friedrichs lower bound. Complex Analysis and Operator Theory, 14(7), Article 73 https://doi.org/10.1007/s11785-020-01032-z
Caruso, N., Michelangeli, A., & Novati, P. (2019). On Krylov solutions to infinite-dimensional inverse linear problems. Calcolo 56(3), Article 32. https://doi.org/10.1007/s10092-019-0330-7
Gallone, M., Michelangeli, A., & Pozzoli, E. (2019). On geometric quantum confinement in Grushin-type manifolds. Zeitschrift für angewandte Mathematik und Physik, 70(6), Article 158. https://doi.org/10.1007/s00033-019-1203-2
Michelangeli, A., & Scandone, R. (2019). Point-like perturbed fractional Laplacians through shrinking potentials of finite range. Complex Analysis and Operator Theory, 13(8), 3717–3752. https://doi.org/10.1007/s11785-019-00927-w
de Oliveira, G., & Michelangeli, A. (2019). Mean-field dynamics for mixture condensates via Fock space methods. Reviews in Mathematical Physics, 31(8), Article 1950027. https://doi.org/10.1142/S0129055X19500272
Gallone, M., & Michelangeli, A. (2019). Hydrogenoid spectra with central perturbations. Reports on Mathematical Physics, 84(2), 215-243. https://doi.org/10.1016/S0034-4877(19)30084-9
Cornean, H., Michelangeli, A., & Yajima, K. (2019). Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and Lp-boundedness of wave operators. Reviews in Mathematical Physics, 31(4), Article 1950012. https://doi.org/10.1142/S0129055X19500120
Michelangeli, A., Nam, P. T., & Olgiati, A. (2019). Ground state energy of mixtures of Bose gases. Reviews in Mathematical Physics, 31(2), Article 1950005. https://doi.org/10.1142/S0129055X19500053
Erceg, M., & Michelangeli, A. (2019). On contact interactions realised as Friedrichs systems. Complex Analysis and Operator Theory, 13(3), 703–736. https://doi.org/10.1007/s11785-018-0787-4
Gallone, M., & Michelangeli, A. (2019). Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei. Analysis and Mathematical Physics, 9(1), 585–616. https://doi.org/10.1007/s13324-018-0219-7
Michelangeli, A., & Pitton, G. (2018). Non-linear Gross-Pitaevskii dynamics of a 2D binary condensate: A numerical analysis. Rendiconti di Matematica e delle Sue Applicazioni, 39(2), 347 – 362. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2018(2)/347-362.pdf
Becker, S., Michelangeli, A., & Ottolini, A. (2018). Spectral analysis of the 2 + 1 fermionic trimer with contact interactions. Mathematical Physics, Analysis and Geometry, 21(4), Article 35. https://doi.org/10.1007/s11040-018-9294-0
Michelangeli, A., & Olgiati, A. (2018). Effective non-linear spinor dynamics in a spin-1 Bose–Einstein condensate. Journal of Physics A: Mathematical and Theoretical, 51(40), Article 405201. https://doi.org/10.1088/1751-8121/aadbc2
Michelangeli, A., Ottolini, A., & Scandone, R. (2018). Fractional powers and singular perturbations of quantum differential Hamiltonians. Journal of Mathematical Physics, 59(7), Article 072106. https://doi.org/10.1063/1.5033856
Gallone, M., & Michelangeli, A. (2018). Discrete spectra for critical Dirac-Coulomb Hamiltonians, Journal of Mathematical Physics, 59(6), Article 062108. https://doi.org/10.1063/1.5011305
Michelangeli, A., Olgiati, A., & Scandone, R. (2018). Singular Hartree equation in fractional perturbed Sobolev spaces. Journal of Nonlinear Mathematical Physics, 25(4), 558–588. https://doi.org/10.1080/14029251.2018.1503423
Antonelli, P., Michelangeli, A., & Scandone, R. (2018). Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials. Zeitschrift für angewandte Mathematik und Physik, 69(2), Article 46. https://doi.org/10.1007/s00033-018-0938-5
Georgiev, V., Michelangeli, A., & Scandone, R. (2018). On fractional powers of singular perturbations of the Laplacian. Journal of Functional Analysis, 275(6), 1551-1602. https://doi.org/10.1016/j.jfa.2018.03.007
Dell’Antonio, G., Michelangeli, A., Scandone, R., & Yajima, K. (2018). Lp-boundedness of wave operators for the three-dimensional multi-centre point interaction. Annales Henri Poincaré, 19(1), 283–322. https://doi.org/10.1007/s00023-017-0628-4
Michelangeli, A., & Ottolini, A. (2018). Multiplicity of self-adjoint realisations of the (2+1)-fermionic model of Ter-Martirosyan-Skornyakov type. Reports on Mathematical Physics, 81(1), 1-38. https://doi.org/10.1016/S0034-4877(18)30014-4
Michelangeli, A., & Olgiati, A. (2017). Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. Journal of Nonlinear Mathematical Physics, 24(3), 426–464. https://doi.org/10.1080/14029251.2017.1346348
Antonić, N., Erceg, M., & Michelangeli, A. (2017). Friedrichs systems in a Hilbert space framework: solvability and multiplicity. Journal of Differential Equations, 263(12), 8264-8294. https://doi.org/10.1016/j.jde.2017.08.051
Michelangeli, A., & Ottolini, A. (2017). On point interactions realised as Ter-Martyrosyan-Skornyakov operators. Reports on Mathematical Physics, 79(2), 215-260. https://doi.org/10.1016/S0034-4877(17)30036-8
Michelangeli, A., & Olgiati, A. (2017). Mean-field quantum dynamics for a mixture of Bose–Einstein condensates. Analysis and Mathematical Physics 7(4), 377–416. https://doi.org/10.1007/s13324-016-0147-3
Michelangeli, A., & Pfeiffer, P. (2016). Stability of the (2+2)-fermionic system with zero-range interaction. Journal of Physics A: Mathematical and Theoretical, 49(10), Article 105301. https://doi.org/10.1088/1751-8113/49/10/105301
Michelangeli, A., & Monaco, D. (2016). Stability of closed gaps for the alternating Kronig–Penney Hamiltonian. Analysis and Mathematical Physics, 6(1), 67–83. https://doi.org/10.1007/s13324-015-0108-2
Dell’Antonio, G, & Michelangeli A. (2016). Schrödinger operators on half-line with shrinking potentials at the origin. Asymptotic Analysis, 97(1-2), 113-138. https://doi.org/10.3233/ASY-151349
Correggi, M., Dell’Antonio, G., Finco, D., Michelangeli, A., & Teta, A. (2015). A Class of Hamiltonians for a Three-Particle Fermionic System at Unitarity. Mathematical Physics, Analysis and Geometry, 18(1), Article 32. https://doi.org/10.1007/s11040-015-9195-4
Michelangeli, A. (2015). Global well-posedness of the magnetic Hartree equation with non-Strichartz external felds. Nonlinearity, 28(8), 2743-2765. https://doi.org/10.1088/0951-7715/28/8/2743
Michelangeli, A., & Schmidbauer, C. (2013). Binding properties of the (2+1)-fermion system with zero-range interspecies interaction. Physical Review A, 87(5), Article 053601. https://doi.org/10.1103/PhysRevA.87.053601
Correggi, M., Dell'Antonio, G., Finco, D., Michelangeli, A., & Teta, A. (2012). Stability for a system of N fermions plus a different particle with zero-range interactions. Reviews in Mathematical Physics, 24(7), Article 1250017. https://doi.org/10.1142/S0129055X12500171
Michelangeli, A., & Schlein, B. (2012). Dynamical collapse of boson stars. Communications in Mathematical Physics, 311(3), 645–687. https://doi.org/10.1007/s00220-011-1341-7
Michelangeli, A. (2010). Strengthened convergence of marginals to the cubic nonlinear Schrödinger equation. Kinetic and Related Models, 3(3), 457- 471. https://doi.org/47110.3934/krm.2010.3.457
Zagordi, O., & Michelangeli, A. (2006). 1D periodic potentials with gaps vanishing at k = 0. Memoirs on Differential Equations and Mathematical Physics, 47, 133-158. https://www.emis.de/journals/MDEMP/vol47/vol47-3.pdf
Erdős, L., Michelangeli, A., & Schlein, B. (2009). Dynamical Formation of Correlations in a Bose-Einstein Condensate. Communications in Mathematical Physics, 289(3), 1171–1210. https://doi.org/10.1007/s00220-009-0828-y
Michelangeli, A. (2008) Equivalent definitions of asymptotic 100% B.E.C. Il Nuovo Cimento Della Societa Italiana Di Fisica B, 123(2), 181-192. https://dx.doi.org/10.1393/ncb/i2008-10521-y
Michelangeli, A. (2007). Role of scaling limits in the rigorous analysis of Bose-Einstein condensation. Journal of Mathematical Physics, 48(10), Article 102102. https://doi.org/10.1063/1.2783114
Other Publications
Georgiev, V. S., & Michelangeli, A. (2022). Mini-Workshop: Zero-range and point-like singular perturbations: For a spillover to analysis, PDE and differential geometry (Report No. 44/2022). Oberwolfach Reports, 19(4), 2601–2627. EMS. https://doi.org/10.4171/OWR/2022/44
Michelangeli, A., & Pitton, G. (2016). Non-linear Schrödinger system for the dynamics of a binary condensate: Theory and 2D numerics [Preprint]. SISSA Digital Library, 63. https://www.math.sissa.it/publication/non-linear-schr%C3%B6dinger-system-dynamics-binary-condensate-theory-and-2d-numerics
Gallone, M., Michelangeli, A., & Ottolini, A. (2017). Krein-Visik-Birman self-adjoint extension theory revisited [Preprint]. SISSA Digital Library, 25. https://www.math.sissa.it/publication/krein-visik-birman-self-adjoint-extension-theory-revisited
Michelangeli, A., & Schlein, B. (2010). Classical and quantum mechanical models of many-particle systems: Dynamical collapse of boson stars (Report No. 54/2010). (Oberwolfach Reports 7, Issue 4). EMS. https://doi.org/10.4171/OWR/2010/54
Michelangeli, A. (2007). The Born approximation in the problem of the rigorous derivation of the Gross-Pitaevskii equation. In M. D'Elia, K. Konishi, E. Meggiolaro, & P. Rossi (Eds.), Sense of beauty in physics: A volume in honour of Adriano Di Giacomo (pp. 435-434). Pisa University Press.
