3 papers
math-ph2026
Recent Advances on a Model for the Electromagnetic Dirac Field at Thermal Equilibrium
Umberto Morellini
We review recent progress on a model for the relativistic electron-positron field interacting with a classical electromagnetic field at positive temperature. The ultimate goal is t…
math-ph2024
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…
quant-ph2024
Vacuum polarization in a one-dimensional effective quantum-electrodynamics model
Timothée Audinet, Umberto Morellini, Antoine Levitt +1
With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum pola…