The main goal of this paper is to describe some new variational methods for the characterization and computation of the eigenvalues and the eigenstates of Dirac operators. Our methods are all based on exact variational principles, both of min-max and of minimization types. The minimization procedure that we introduce is done in a particular set of functions satisfying a nonlinear constraint. Finally, we present several numerical methods that we have implemented in particular cases, in order to construct approximate solutions of that minimization problem.ou
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...
A variational discrete representation of the relativistic energy spectrum of an electron in a Coulom...
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...
The main goal of this paper is to describe some new variational methods for the characterization and...
In this paper we give two different variational characterizations for the eigenvalues of H+V where H...
Abstract. This review is devoted to the study of stationary solutions of lin-ear and nonlinear equat...
Abstract. We discuss a novel strategy for computing the eigen-values and eigenfunctions of the relat...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
This article is devoted to a two-spinor characterization of energy levels of Dirac operators based a...
Variational solutions to the Dirac equation in a discrete L2 basis set are investigated. Numerical c...
Variational solutions to the Dirac equation in a discrete L2 basis set are investigated. Numerical c...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We introduce variational methods for finding approximate eigenfunctions and eigenval-ues of quantum ...
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...
A variational discrete representation of the relativistic energy spectrum of an electron in a Coulom...
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...
The main goal of this paper is to describe some new variational methods for the characterization and...
In this paper we give two different variational characterizations for the eigenvalues of H+V where H...
Abstract. This review is devoted to the study of stationary solutions of lin-ear and nonlinear equat...
Abstract. We discuss a novel strategy for computing the eigen-values and eigenfunctions of the relat...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
This article is devoted to a two-spinor characterization of energy levels of Dirac operators based a...
Variational solutions to the Dirac equation in a discrete L2 basis set are investigated. Numerical c...
Variational solutions to the Dirac equation in a discrete L2 basis set are investigated. Numerical c...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We discuss a novel strategy for computing the eigenvalues and eigenfunctions of the relativistic Dir...
We introduce variational methods for finding approximate eigenfunctions and eigenval-ues of quantum ...
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...
A variational discrete representation of the relativistic energy spectrum of an electron in a Coulom...
Cette thèse porte sur l'étude de modèles non linéaires issus de la mécanique quantique relativiste.D...