European Congress of Mathematics
Kraków, 2 – 7 July, 2012


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pp: 627–641

DOI: 10.4171/120-1/38

A nonlinear variational problem in relativistic quantum mechanics

Mathieu Lewin[1]

(1) Université de Cergy-Pontoise, France

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

Keywords: Nonlinear analysis, variational methods, quantum mechanics, Dirac operator, renormalization, quantum electrodynamics, vacuum polarization

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