AA 2022-23, Marco Falconi

Program:

Classical ElectroDynamics

• The dynamics of extended charges: global well-posedness results
• Disasters with pointlike charges: blow-up of the electrostatic energy
• Disasters with small extended charges: runaway and non-causal solutions

Quantum ElectroDynamics

• The dynamics of quantum extended charges: self-adjointness of the Pauli-Fierz Hamiltonian
• Disasters with pointlike charges: an ultraviolet problem in QFT
• The effective mass in the dipole approximation

QED <-> CED

• An introduction to semiclassical tools for bosonic quantum fields
• Bohr’s correspondence principle in electrodynamics
• A quantum detour: regularizing classical electrodynamics by means of quantum electrodynamics