In the presence of an external magnetic field, we prove absence of a ground state within the Hartree-Fock theory of atoms and molecules. The result is established for a wide class of magnetic fields when the number of electrons is greater than or equal to 2Z + K, where Z is the total charge of K nuclei. Positivity properties are instrumental in the proof of this bound for the maximal ionizatio
International audienceWe study the well-posedness of the reduced Hartree-Fock model for molecules an...
The effect of the uniform magnetic field on the electron in the spherically symmetric square-well po...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree...
In the presence of an external magnetic field, we prove existence of a ground state within the Hartr...
Within the Hartree-Fock theory of atoms and molecules we prove existence of a ground state in the pr...
In the dissertation at hand various aspects of the Hartree-Fock approximation for non-relativistic a...
We prove the existence of a ground state within the Hartree-Fock theory for atoms and molecules, in ...
International audienceThe purpose of this article is to extend the work by Anantharaman and Cancès [...
In this note we establish the existence of ground states for atoms within several restricted Hartre...
old submission: math-ph/0402058We study the ground state solutions of the Dirac-Fock model in the ca...
The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrody...
The ionization conjecture for atomic models states that the ionization energy and maximal excess cha...
We study the energy of relativistic electrons and positrons interacting via the second-quantized Cou...
We establish existence of infinitely many distinct solutions to the multi-configurative Hartree-Fock...
International audienceWe study the well-posedness of the reduced Hartree-Fock model for molecules an...
The effect of the uniform magnetic field on the electron in the spherically symmetric square-well po...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...
In the presence of an external magnetic field, we prove absence of a ground state within the Hartree...
In the presence of an external magnetic field, we prove existence of a ground state within the Hartr...
Within the Hartree-Fock theory of atoms and molecules we prove existence of a ground state in the pr...
In the dissertation at hand various aspects of the Hartree-Fock approximation for non-relativistic a...
We prove the existence of a ground state within the Hartree-Fock theory for atoms and molecules, in ...
International audienceThe purpose of this article is to extend the work by Anantharaman and Cancès [...
In this note we establish the existence of ground states for atoms within several restricted Hartre...
old submission: math-ph/0402058We study the ground state solutions of the Dirac-Fock model in the ca...
The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrody...
The ionization conjecture for atomic models states that the ionization energy and maximal excess cha...
We study the energy of relativistic electrons and positrons interacting via the second-quantized Cou...
We establish existence of infinitely many distinct solutions to the multi-configurative Hartree-Fock...
International audienceWe study the well-posedness of the reduced Hartree-Fock model for molecules an...
The effect of the uniform magnetic field on the electron in the spherically symmetric square-well po...
In this paper, we investigate the maximum number of electrons that can be bound to a system of nucle...