Add to ORKGInternational audienceIn this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operator with an external electrostatic potential. The latter describes a relativistic quantum electron moving in the field of some (pointwise or extended) nuclei. The main question we ask is whether the eigenvalue is minimal when the nuclear charge is concentrated at one single point. This well-known property in nonrelativistic quantum mechanics has escaped all attempts of proof in the relativistic case
Continuum states of the Dirac equation are calculated numerically for the electrostatic field genera...
We study the Bogoliubov-Dirac-Fock model that allows to consider relativistic electrons interacting ...
The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrody...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
We study the reduced Bogoliubov-Dirac-Fock (BDF) energy which allows to describe relativistic electr...
The Dirac equation for an electron in the central Coulomb field of a point-like nucleus with the cha...
. A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for re...
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion...
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion...
The purpose of this work is to give an introduction to relativistic quantum mechanics for the electr...
The purpose of this work is to give an introduction to relativistic quantum mechanics for the electr...
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecu...
The Bogoliubov-Dirac-Fock (BDF) model allows to describe relativistic elec- trons interacting with t...
Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic qua...
Continuum states of the Dirac equation are calculated numerically for the electrostatic field genera...
We study the Bogoliubov-Dirac-Fock model that allows to consider relativistic electrons interacting ...
The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrody...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
In this article we formulate several conjectures concerning the lowest eigenvalue of a Dirac operato...
We study the reduced Bogoliubov-Dirac-Fock (BDF) energy which allows to describe relativistic electr...
The Dirac equation for an electron in the central Coulomb field of a point-like nucleus with the cha...
. A virial theorem is established for the operator proposed by Brown and Ravenhall as a model for re...
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion...
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion...
The purpose of this work is to give an introduction to relativistic quantum mechanics for the electr...
The purpose of this work is to give an introduction to relativistic quantum mechanics for the electr...
We study the ionization problem in the Thomas-Fermi-Dirac-von Weizsäcker theory for atoms and molecu...
The Bogoliubov-Dirac-Fock (BDF) model allows to describe relativistic elec- trons interacting with t...
Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic qua...
Continuum states of the Dirac equation are calculated numerically for the electrostatic field genera...
We study the Bogoliubov-Dirac-Fock model that allows to consider relativistic electrons interacting ...
The Bogoliubov-Dirac-Fock (BDF) model is the mean-field approximation of no-photon Quantum Electrody...