Research

Curriculum

Publications

Teaching/Didattica

. . .


foto

Davide Fermi

Ph.D. in Mathematics


M.Sc. and B.Sc. in Physics


Associate professor,
Politecnico di Milano
Dipartimento di Matematica

Research Group in Mathematical Physics @ Politecnico di Milano

Contact

Address: Dipartimento di Matematica
Politecnico di Milano
Piazza Leonardo da Vinci, 32 - Ed. 14 Nave
I--20133 Milano MI, Italy
Email: davide.fermi [ at ] polimi.it
fermidavide [ at ] gmail.com
Webpage: https://fermidavide.com

Upcoming events

9-14 Feb. 2025   -  

MCQM25 - Mathematical challenges in Quantum Mechanics 2025 @ GSSI (l'Aquila, Italy)

March - June 2025   -  

QMP25 - Quantum Mathematics @ Polimi 2025 (Milano, Italy)

Research interests

Curriculum Vitae

Curriculum Vitae et Studiorum: extended version in PDF.

Academic positions

Nov. 2022 - : Researcher (rtd B) at Politecnico di Milano, Department of Mathematics
June 2021 - Oct. 2022: Researcher (rtd A) at Università degli Studi Roma Tre, Department of Mathematics and Physics
(position funded by ERC consolidator grant UniCoSM, PI Prof. Alessandro Giuliani)
Jan. 2021 - May 2021: Postdoc at Università degli Studi di Roma 'La Sapienza', Department of Mathematics
Project: "Mathematical Methods in Quantum Mechanics"
Supervisor: Prof. Alessandro Teta
Mar. 2020 - Dec. 2020 : Postdoc at Scuola Normale Superiore di Pisa, Classe di Scienze
Project: "Mathematical Aspects of Condensed Matter Physics"
Supervisor: Prof. Michele Correggi
Dec. 2016 - Feb. 2020 : Postdoc at Università degli Studi di Milano, Department of Mathematics
Project: "Analytical and Geometrical Methods for Differential Equations and Quantum Field Theory"
Supervisors: Prof. Marco Peloso and Prof. Livio Pizzocchero
Apr. 2016 - Nov. 2016 : Postdoc at Università degli Studi dell'Insubria (Como, Italy), Department of Science and High Technologies (DiSAT)
Project: "FIR 2013 - Mathematical Problems in Condensed Matter Physics"
Supervisors: Prof. Claudio Cacciapuoti and Prof. Andrea Posilicano

Education and Qualifications

Nov. 2020 : Abilitazione Scientfica Nazionale for Associate Professor in Mathematical Physics
(Professore di II Fascia, s.c. 01/A4, Fisica Matematica - valid until 09 Nov. 2029)
Oct. 2012 - Feb. 2016 : PhD in Mathematics at Università degli Studi di Milano
Thesis: "A functional analytic framework for local zeta regularization and the scalar Casimir effect"
Advisor: Prof. Livio Pizzocchero
Nov. 2010 - July 2012 : Master's Degree in Theoretical Physics at Università degli Studi di Milano
Thesis: "L'Effetto Casimir e la Regolarizzazione Zeta" (transl. "Zeta regularization and the Casimir effect")
Advisors: Prof. Livio Pizzocchero and Prof. Franco Gallone
Sept. 2007 - Oct. 2010 : Bachelor's Degree in Physics at Università degli Studi di Milano
Thesis: "Lo Spaziotempo di Alcubierre" (transl. "Alcubierre's spacetime")
Advisor: Prof. Livio Pizzocchero

Publications

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Books

  1. D. Fermi, L. Pizzocchero, Local zeta regularization and the scalar Casimir effect. A general approach based on integral kernels,
    World Scientific Publishing (2017), ISBN: 978-981-3224-99-5 (hardcover), ISBN: 978-981-3225-01-5 (ebook).
    See also arXiv:1505.00711, arXiv:1505.01044.


Preprints

  1. D. Fermi, The Aharonov-Bohm Hamiltonian: self-adjointness, spectral and scattering properties,
    arXiv:2407.15115 [math-ph]


Pulished Papers

  1. W. Borrelli, M. Correggi, D. Fermi, Pauli Hamiltonians with an Aharonov-Bohm Flux,
    J. Spectral Theory 14(3), 1147-1193 (2024) [47 pages]
    DOI:10.4171/JST/496 ;  arXiv:2312.11971 [math-ph]

  2. M. Correggi, D. Fermi, Schrödinger operators with multiple Aharonov-Bohm fluxes,
    Ann. Henri Poincaré (2024) [41 pages]
    DOI:10.1007/s00023-024-01446-x ;  arXiv:2306.08910 [math-ph]

  3. M. Correggi, D. Fermi, Deficiency indices for singular magnetic Schrödinger operators,
    Milan J. Math. 92, 25-39 (2024) [15 pages]
    DOI:10.1007/s00032-023-00390-5 ;  arXiv:2311.09987 [math-ph]

  4. D. Fermi, Quadratic forms for Aharonov-Bohm Hamiltonians,
    pp. 205--228 in M. Correggi, M. Falconi (Eds.),
    ''Quantum Mathematics I'', Springer INdAM Series (SINDAMS, vol. 57), Springer Singapore (2024) [24 pages]
    DOI:10.1007/978-981-99-5894-8_7 ;  arXiv:2208.06285 [math-ph]

  5. D. Fermi, D. Ferretti, A. Teta, Rigorous derivation of the Efimov effect in a simple model,
    Lett. Math. Phys. 113, 113 (2023) [37 pages]
    DOI:10.1007/s11005-023-01734-3 ;  arXiv:2306.12157 [math-ph]

  6. D. Fermi, L. Pizzocchero, On the Casimir effect with δ-like potentials, and a recent paper by K. Ziemian (Ann. Henri Poincaré, 2021),
    Ann. Henri Poincaré 24 (2023), 2363–2400 [38 pages]
    DOI:10.1007/s00023-022-01263-0

  7. D. Fermi, A. Giuliani, Periodic striped states in Ising models with dipolar interactions,
    pp. 269-293 in R. L. Frank, A. Laptev, M. Lewin, R. Seiringer (Eds.),
    ''The Physics and Mathematics of Elliott Lieb. The 90th Anniversary Volume I'', EMS Press (2022) [25 pages]
    DOI:10.4171/90-1/12 ;  arXiv:2203.01249 [math-ph]

  8. C. Cacciapuoti, D. Fermi, A. Posilicano, The semi-classical limit with a delta-prime potential,
    Rev. Math. Phys. 34(6) (2022), 2250015 [33 pages]
    DOI:10.1142/S0129055X22500155 ;  arXiv:2012.12735 [math-ph]

  9. D. Fermi, Vacuum polarization with zero-range potentials on a hyperplane,
    Universe 2021, 7(4) (2021), 92 [27 pages]
    (invited feature article)
    DOI:10.3390/universe7040092 ;  arXiv:2103.13720 [math-ph]

  10. M. Correggi, D. Fermi, Magnetic perturbations of anyonic and Aharonov-Bohm Schrödinger operators,
    J. Math. Phys. 62(3) (2021), 032101 [25 pages]
    DOI:10.1063/5.0018933 ;  arXiv:2006.09056 [math-ph]

  11. C. Cacciapuoti, D. Fermi, A. Posilicano, The semiclassical limit on a star-graph with Kirchhoff conditions,
    Anal. Math. Phys. 11 (2021), 45 [43 pages]
    DOI:10.1007/s13324-020-00455-3 ;  arXiv:2005.03790 [math-ph]

  12. C. Cacciapuoti, D. Fermi, A. Posilicano, Scattering theory for delta-potentials supported by locally deformed planes,
    pp. 35-55 in A. Michelangeli (Ed.), ''Mathematical Challenges of Zero-Range Physics'', Springer (2021) [20 pages]
    DOI:10.1007/978-3-030-60453-0_2

  13. D. Fermi, M. Gengo, L. Pizzocchero, Integrable scalar cosmologies with matter and curvature,
    Nucl. Phys. B 957 (2020), 115095 [102 pages]
    DOI:10.1016/j.nuclphysb.2020.115095 ;  arXiv:2001.03228 [gr-qc]

  14. C. Cacciapuoti, D. Fermi, A. Posilicano, The semi-classical limit with a delta potential,
    Annali di Matematica Pura ed Applicata 200 (2021), 453–489, [37 pages]
    DOI:10.1007/s10231-020-01002-4 ;  arXiv:1907.05801 [math-ph]

  15. D. Fermi, The Casimir energy anomaly for a point interaction,
    Mod. Phys. Lett. A 35(03) (2020), 2040008 [5 pages]
    DOI:10.1142/S0217732320400088 ;  arXiv:1909.00604 [math-ph]

  16. D. Fermi, Some remarks on a new exotic spacetime for time travel by free fall,
    pp. 243-265 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) [23 pages]
    DOI:10.1007/978-3-030-18061-4_8 ;  arXiv:1812.09021 [gr-qc]

  17. D. Fermi, M. Gengo, L. Pizzocchero, On the necessity of phantom fields for solving the horizon problem in scalar cosmologies,
    Universe 2019, 5(3) (2019), 76 [20 pages]
    (invited feature article)
    DOI:10.3390/universe5030076 ;  arXiv:1901.11511 [gr-qc]

  18. C. Cacciapuoti, D. Fermi, A. Posilicano, Scattering from local deformations of a semitransparent plane,
    J. Math. Anal. Appl. 473(1) (2019), 215-257 [43 pages]
    DOI:10.1016/j.jmaa.2018.12.045 ;  arXiv:1807.07916 [math-ph]
    Corrigengum
    J. Math. Anal. Appl. 482(1) (2020), 123554 [2 pages]
    DOI:10.1016/j.jmaa.2019.123554

  19. C. Cacciapuoti, D. Fermi, A. Posilicano, On inverses of Krein's Q-functions,
    Rend. Mat. Appl. (7) 39(2) (2018), 229-240 [12 pages]
    Editor's page ;  arXiv:1809.05150 [math.SP]

  20. D. Fermi, L. Pizzocchero, A time machine for free fall into the past,
    Class. Quant. Grav. 35(16) (2018), 165003 [42 pages]
    DOI:10.1088/1361-6382/aace6e ;  arXiv:1803.08214 [gr-qc]

  21. D. Fermi, L. Pizzocchero, Local Casimir Effect for a Scalar Field in Presence of a Point Impurity
    Symmetry 2018, 10(2) (2018) [20 pages]
    (invited contribution in I. H. Brevik and K. A. Milton (guest Eds.), ''Casimir Physics and Applications'' Special Issue of Symmetry),
    DOI:10.3390/sym10020038 ;  arXiv:1712.10039 [math-ph]

  22. 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 pages];
    DOI:10.1007/978-3-319-58904-6_5 ;  arXiv:1702.05296 [math-ph]

  23. 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 pages]
    DOI:10.1142/S0217751X16500032 ;  arXiv:1505.03276 [math-ph]

  24. 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 pages]
    DOI:10.1142/S0217751X15502139 ;  arXiv:1505.01651 [math-ph]

  25. D. Fermi, L. Pizzocchero, Local zeta regularization and the Casimir effect,
    Prog. Theor. Phys. 126(3) (2011), 419 [15 pages]
    DOI:10.1143/PTP.126.419 ;  arXiv:1104.4330 [math-ph]


Teaching/Didattica

PhD courses

Lauree Magistrali / M.Sc. degree

Lauree Triennali / B.Sc. degree

External links

Friends and coworkers

William Borrelli

Claudio Cacciapuoti

Michele Correggi

Alessandro Giuliani

Livio Pizzocchero

Andrea Posilicano

Alessandro Teta

Personal profiles

Orcid

Scopus

Publons - Web of Science

Google Scholar

MathSciNet

arXiv

Research Gate

Affiliations

International Association of Mathematical Physics (IAMP)

Istituto Nazionale di Alta Matematica "F. Severi" (INdAM)

Gruppo Nazionale per la Fisica Matematica (GNFM)

Unione Matematica Italiana (UMI)

Istituto Nazionale di Fisica Nucleare (INFN)

Gruppo BELL: Fundamental Problems in Quantum Physics (INFN-BELL)

Other Mathematics and Physics Links

Local Quantum Physics Crossroads (LQP2)

The International Society on General Relativity & Gravitation (ISGRG)

Last updated on November 19, 2024.