
Conference on "Variational and spectral methods in Quantum Field Theory"
Organizers: Volker Bach (Braunschweig), Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Eric Séré (ParisDauphine)
Marcel Griesemer (Stuttgart, Germany): "Multipolarons in a Constant Magnetic Field"
Tuesday 23 April 2013, 09:30  10:15
Amphi Hermite
The binding of a system of N polarons subject to a constant magnetic field of strength B is investigated within the PekarTomasevich approximation. In this approximation the energy of N polarons is described in terms of a nonquadratic functional with a quartic term that accounts for the electronelectron selfinteraction mediated by phonons. The size of a coupling constant, denoted by α, in front of the quartic is determined by the electronic properties of the crystal under consideration, but in any case α must be in (0,1). For all values of N and B we find an interval (α_{N,B},1) where the N polarons bind in a single cluster described by a minimizer of the PekarTomasevich functional. This minimizer is exponentially localized in the Nparticle configuration space R^{3N}.