Opérateur de Schrödinger pour un champ magnétique constant sur l'espace euclidien à deux dimensions
Opérateurs de Schrödinger avec champ magnétique
Opérateurs de Schrödinger avec champs magnétiques faibles et constants
Opérateurs de Schrödinger avec potentiel singuliér magnétique, dans un ouvert arbitraire de
Opérateurs de temps-retard dans la théorie de la diffusion
Opérateurs pseudo-différentiels et capacités symplectiques
Optimal measures for the fundamental gap of Schrödinger operators
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
Optimal potentials for Schrödinger operators
We consider the Schrödinger operator on , where is a given domain of . Our goal is to study some optimization problems where an optimal potential has to be determined in some suitable admissible classes and for some suitable optimization criteria, like the energy or the Dirichlet eigenvalues.
Optimality conditions for control problems governed by abstract semilinear differential equations in complex Banach spaces.
Oscillateur quartique et méthodes semi-classiques
symmetric Schrödinger operators: reality of the perturbed eigenvalues.
Periodic Schrödinger Operators on a Manifold.
Periodic Schrödinger Operators with Constant Weak Magnetic Fields
Periodic Schrödinger Operators with (Non-Periodic) Magnetic and Electric Potentials.
Perturbation by differences of unbounded potentials.
Perturbation properties of the spectrum of periodic Schrödinger operators
Perturbation results for Stark effect resonances.
Perturbatively unstable eigenvalues of a periodic Schrödinger operator.
Point interactions in two diemsions: Basic properties, approximations and applications to solid state physics.
Pointwise bounds on the asymptotics of spherically averaged -solutions of one-body Schrödinger equations