A nonlinear variational problem in relativistic quantum mechanics

Mathieu Lewin (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We describe several recent results obtained in collaboration with P. Gravejat, C. Hainzl, E. Séré and J.P. Solovej, concerning a nonlinear model for the relativistic quantum vacuum in interaction with a classical electromagnetic field.

Mots clés: Nonlinear analysis; variational methods; quantum mechanics; Dirac operator; renormalization; quantum electrodynamics; vacuum polarization

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Mathieu Lewin. A nonlinear variational problem in relativistic quantum mechanics. 6th European Congress of Mathematics, Jul 2012, Krakow, Poland. ⟨hal-00731484⟩