36 citations · 55 across the 11 of their papers we have counts for
15 papers
Large time well posedness for a Dirac--Klein-Gordon system
Federico Cacciafesta, Anne-Sophie de Suzzoni, Long Meng +1
In this paper we prove well posedness for a system coupling a nonlinear Dirac with a Klein-Gordon equation that represents a toy model for the Helium atom with relativistic correct…
Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems
Enno Lenzmann, Jérémy Sok
We prove that the energy-critical half-wave maps equation \[ \partial_t \mathbf{S} =\mathbf{S} \times |\nabla| \mathbf{S}, \quad (t,x) \in \mathbb{R} \times \mathbb{T} \] arises as…
On symmetry of traveling solitary waves for dispersion generalized NLS
Lars Bugiera, Enno Lenzmann, Armin Schikorra +1
We consider dispersion generalized nonlinear Schrödinger equations (NLS) of the form , where denotes a (pseudo)-differential operator…
On symmetry and uniqueness of ground states for linear and nonlinear elliptic PDEs
Lars Bugiera, Enno Lenzmann, Jérémy Sok
We study ground state solutions for linear and nonlinear elliptic PDEs in with (pseudo-)differential operators of arbitrary order. We prove a general symmetry result…
Spectral flow of Dirac operators with magnetic cable knot
Jérémy Sok, Jan Philip Solovej
We study the spectral flow of Dirac operators with magnetic links on . These are generalisations of Aharonov-Bohm solenoids where the magnetic fields contain finitely…
A sharp rearrangement principle in Fourier space and symmetry results for PDEs with arbitrary order
Enno Lenzmann, Jérémy Sok
We prove sharp inequalities for the symmetric-decreasing rearrangement in Fourier space of functions in . Our main result can be applied to a general class of (pseudo…
The Dirac-Frenkel Principle for Reduced Density Matrices, and the Bogoliubov-de-Gennes Equations
Niels Benedikter, Jérémy Sok, Jan Philip Solovej
The derivation of effective evolution equations is central to the study of non-stationary quantum many-body sytems, and widely used in contexts such as superconductivity, nuclear p…
Analysis of zero modes for Dirac operators with magnetic links
Fabian Portmann, Jeremy Sok, Jan Philip Solovej
In this paper we provide a means to approximate Dirac operators with magnetic fields supported on links in (and ) by Dirac operators with smooth magnet…
Spectral flow for Dirac operators with magnetic links
Fabian Portmann, Jérémy Sok, Jan Philip Solovej
This paper is devoted to the study of the spectral properties of Dirac operators on the three-sphere with singular magnetic fields supported on smooth, oriented links. As for Aharo…
Self-adjointness and spectral properties of Dirac operators with magnetic links
Fabian Portmann, Jérémy Sok, Jan Philip Solovej
We define Dirac operators on (and ) with magnetic fields supported on smooth, oriented links and prove self-adjointness of certain (natural) extensions…
The positronium and the dipositronium in a Hartree-Fock approximation of quantum electrodynamics
Jérémy Sok
The Bogoliubov-Dirac-Fock (BDF) model is a no-photon approximation of quantum electrodynamics. It allows to study relativistic electrons in interaction with the Dirac sea. A state…
Absence of binding in a mean-field approximation of quantum electrodynamics
Jérémy Sok
We study the Bogoliubov-Dirac-Fock model which is a mean-field approximation of QED. It allows to consider relativistic electrons interacting with the Dirac sea. We study the syste…
The positronium in a mean-field approximation of quantum electrodynamics
Jérémy Sok
The Bogoliubov-Dirac-Fock (BDF) model is a no-photon, mean-field approxi- mation of quantum electrodynamics. It describes relativistic electrons in the Dirac sea. In this model, a…
Charge renormalisation in a mean-field approximation of QED
Jérémy Sok
We study the Bogoliubov-Dirac-Fock (BDF) model, a no-photon, mean-field approxi- mation of quantum electrodynamics that allows to study relativistic electrons interacting with the…
Existence of Ground State of an Electron in the BDF Approximation
Jérémy Sok
The Bogoliubov-Dirac-Fock (BDF) model allows to describe relativistic electrons interacting with the Dirac sea. It can be seen as a mean-field approximation of Quantum Electro-dyna…