78 citations · 1k across the 73 of their papers we have counts for
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Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation
Christian Hainzl, Mathieu Lewin, Christof Sparber
We consider a generalized Dirac-Fock type evolution equation deduced from no-photon Quantum Electrodynamics, which describes the self-consistent time-evolution of relativistic elec…
Self-consistent solution for the polarized vacuum in a no-photon QED model
Christian Hainzl, Mathieu Lewin, Eric Sere
We study the Bogoliubov-Dirac-Fock model introduced by Chaix and Iracane ({\it J. Phys. B.}, 22, 3791--3814, 1989) which is a mean-field theory deduced from no-photon QED. The asso…
Enhanced binding revisited for a spinless particle in non-relativistic QED
Isabelle Catto, Pavel Exner, Christian Hainzl
We consider a spinless particle coupled to a quantized Bose field and show that such a system has a ground state for two classes of short-range potentials which are alone too weak…
Existence of a stable polarized vacuum in the Bogoliubov-Dirac-Fock approximation
Christian Hainzl, Mathieu Lewin, Eric Sere
According to Dirac's ideas, the vacuum consists of infinitely many virtual electrons which completely fill up the negative part of the spectrum of the free Dirac operator . In…