Critical magnetic fields for the Dirac-Coulomb operator

Hamiltonians in Magnetic Fields

16 October 14:00 - 15:00

Maria J. Esteban - Université Paris-Dauphine

In this talk I will present a study about the coupling of the Dirac operator with a Coulomb potential and a constant magnetic potential. This is a model for an electron submitted to the action of an external electromagnetic field. We show that there is a critical magnetic field beyond which the electron becomes unstable. We also compare the critical field for general electron wave-functions and for functions in the first Landau level. We prove that the two are very far from each other for small electrical fields.
Rafael D. Benguria
Pontificia Universidad Católica de Chile
Arne Jensen
Aalborg University
Georgi Raikov
Pontificia Universidad Católica de Chile
Grigori Rozenblioum
Chalmers/University of Gothenburg
Jan Philip Solovej
University of Copenhagen