78 citations · 1k across the 73 of their papers we have counts for
5 papers · 2 filters
Two Hartree-Fock models for the vacuum polarization
Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational constr…
Microscopic Derivation of the Ginzburg-Landau Model
Rupert L. Frank, Christian Hainzl, Robert Seiringer +1
We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to…
Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields
Philippe Gravejat, Christian Hainzl, Mathieu Lewin +1
Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the pres…
Ground state properties of graphene in Hartree-Fock theory
Christian Hainzl, Mathieu Lewin, Christof Sparber
We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we re…
Dynamics of Bose-Einstein condensates of fermion pairs in the low density limit of BCS theory
Christian Hainzl, Benjamin Schlein
We show that the time-evolution of the wave function describing the macroscopic variations of the pair density in BCS theory can be approximated, in the dilute limit, by a time-dep…