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Conference on "Variational and spectral methods in Quantum Field Theory"
Organizers: Volker Bach (Braunschweig), Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Eric Séré (Paris-Dauphine)


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 Pekar-Tomasevich approximation. In this approximation the energy of N polarons is described in terms of a non-quadratic functional with a quartic term that accounts for the electron-electron self-interaction 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 N,B,1) where the N polarons bind in a single cluster described by a minimizer of the Pekar-Tomasevich functional. This minimizer is exponentially localized in the N-particle configuration space R3N.