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math-ph2026
The Pauli-Villars-regularized Dirac vacuum in electromagnetic fields at positive temperature
William Borrelli, Umberto Morellini
In this paper we consider a model of the Dirac vacuum in classical electromagnetic fields at positive temperature. We adopt the Pauli-Villars regularisation technique in order to p…
math-ph2025
Global well-posedness in a Hartree-Fock model for graphene
William Borrelli, Umberto Morellini
Graphene is a monolayer graphitic film in which electrons behave like two-dimensional Dirac fermions without mass. Its study has attracted a wide interest in the domain of condense…
math-ph2024
Pauli Hamiltonians with an Aharonov-Bohm Flux
William Borrelli, Michele Correggi, Davide Fermi
We study a two-dimensional Pauli operator describing a charged quantum particle with spin moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We class…