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math.AP2023
Properties of periodic Dirac--Fock functional and minimizers
Isabelle Catto, Long Meng
Existence of minimizers for the Dirac--Fock model in crystals was recently proved by Paturel and Séré and the authors \cite{crystals} by a retraction technique due to Séré \cite{Se…
math.AP2023
Strichartz estimates for the half wave/Klein-Gordon and Dirac Equations on compact manifolds without boundary
Federico Cacciafesta, Elena Danesi, Long Meng
In this paper we study Strichartz estimates for the half wave, the half Klein-Gordon and the Dirac Equations on compact manifolds without boundary, proving in particular for each o…
math.AP2023
A rigorous justification of the Mittleman's approach to the Dirac--Fock model
Long Meng
In this paper, we study the relationship between the Dirac--Fock model and the electron-positron Hartree--Fock model. We justify the Dirac--Fock model as a variational approximatio…