Pubblications

Preprints

  • M. Camarasa, F. Pizzichillo: “Dirac operators with infinite mass boundary conditions on unbounded domains with infinite corners”.
    ArXiv preprint: 2312.12983, (2023).

Articles (accepted or published)

  • L. Fanelli, F. Pizzichillo: A relativistic Hardy-type inequality with minimisers”.
    Journal of Physics A: Mathematical and Theoretical (2025); doi: 10.1088/1751-8121/adb4b1
  • J. Dolbeault, D. Gontier, F. Pizzichillo, H. Van Den Bosch: “Keller and Lieb-Thiering estimates of the eigenvalues in the gap of Dirac operators”.
    Revista Matemática Iberoamericana (2024); doi: 10.4171/RMI/1443

     

  • M. Gallone, B. Cassano, F. Pizzichillo: “Dirac-Coulomb operators with infinite mass boundary conditions in sectors”.
    Journal of Mathematical Physics, (2022); doi: 10.1063/5.0089526

     

  • F. Pizzichillo, H. Van Den Bosch: “Self-Adjointness of two dimensional Dirac operators on corner domains”.
    Journal of Spectral Theory, (2021); doi: 10.4171/jst/365

     

  • T. Ourmières-Bonafos, F. Pizzichillo: “Dirac operators and shell interactions: a survey”.
    Mathematical Challenges of Zero-Range Physics. Springer INdAM Series, (2021); doi: 10.1007/978-3-030-60453-0_5

     

  • B. Cassano, F. Pizzichillo, L. Vega: “A Hardy-type inequality and some spectral characterizations for the Dirac-Coulomb operator”.
    Revista Matemática Complutense, (2020); doi: 10.1007/s13163-019-00311-4

     

  • B. Cassano, F. Pizzichillo: “Boundary triples for the Dirac operator with Coulomb-type spherically symmetric perturbations”.
    Journal of Mathematical Physics (2019); doi: 10.1063/1.5063986

     

  • B. Cassano, F. Pizzichillo: “Self-adjoint extensions for the Dirac operator with Coulomb-type spherically symmetric potentials“.
    Letters in Mathematical Physics, (2018); doi: 10.1007/s11005-018-1093-9

     

  • A. Mas, F. Pizzichillo: “Klein’s paradox and the relativistic $\delta$-shell interaction in $\mathbb R^3$“.
    Analysis & PDE, (2018); doi: 10.2140/apde.2018.11.705

     

  • T. Ourmières-Bonafos, K. Pankrashkin, F. Pizzichillo: “Spectral asymptotics for $\delta$-interactions on sharp cones”.
    Journal of Mathematical Analysis and Applications, (2018); doi: 10.1063/1.5000381

     

  • A. Mas, F. Pizzichillo: “The relativistic spherical $\delta$-shell interaction in $\mathbb R^3$: spectrum and approximations”.
    Journal of Mathematical Physics, (2017); doi: 10.1063/1.5000381

     

Thesis

Web page of Fabio Pizzichillo
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