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math-ph2019
The Hartree and Vlasov equations at positive density
Mathieu Lewin, Julien Sabin
We consider the nonlinear Hartree and Vlasov equations around a translation-invariant (homogeneous) stationary state in infinite volume, for a short range interaction potential. Fo…
math-ph2012
Charge renormalization and static electron/positron pair production for a nonlinear Dirac model with weak interactions
Julien Sabin
The Hartree-Fock approximation of Quantum Electrodynamics provides a rigorous framework for the description of relativistic electrons in external fields. This nonlinear model takes…