83 citations · 154 across the 12 of their papers we have counts for
5 papers · 1 filter
Exponential decay of the critical points in a discrete model of polyacetylene
David Gontier, Adechola E. K. Kouande, Éric Séré
In this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states…
Domains for Dirac-Coulomb min-max levels
Maria J. Esteban, Mathieu Lewin, Eric Séré
We consider a Dirac operator in three space dimensions, with an electrostatic (i.e. real-valued) potential , having a strong Coulomb-type singularity at the origin. This oper…
Spurious Modes in Dirac Calculations and How to Avoid Them
Mathieu Lewin, Eric Séré
In this paper we consider the problem of the occurrence of spurious modes when computing the eigenvalues of Dirac operators, with the motivation to describe relativistic electrons…
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…
Variational methods in relativistic quantum mechanics
Maria J. Esteban, Mathieu Lewin, Eric séré
This review is devoted to the study of stationary solutions of linear and nonlinear equations from relativistic quantum mechanics, involving the Dirac operator. The solutions are f…