2 papers
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.AP2024
Relativistic electrons coupled with Newtonian nuclear dynamics
Umberto Morellini
In the study of the electronic structure of heavy atoms, relativistic effects cannot be neglected and the Dirac operator naturally appears in place of the Schrödinger operator, ra…