2 papers
math-ph2026
The Pauli-Villars-regularised Dirac field coupled to electromagnetic fields at thermal equilibrium
William Borrelli, Umberto Morellini
In this paper we consider a model for the Dirac field in a classical electromagnetic field at thermal equilibrium. We adopt the Pauli-Villars regularisation technique in order to p…
math.AP2023
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, rai…