On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scattering.
On the scattering theory of the Laplacian with a periodic boundary condition. I. Existence of wave operators.
On the Schrödinger equation in L...spaces.
On the S-matrix for Schrödinger operators with long-range potentials.
On the solution of Schrödinger-like wave equations
On the Spectra of Schrödinger Operators with a Complex Potential.
Opening gaps in the spectrum of strictly ergodic Schrödinger operators
We consider Schrödinger operators with dynamically defined potentials arising from continuous sampling along orbits of strictly ergodic transformations. The Gap Labeling Theorem states that the possible gaps in the spectrum can be canonically labelled by an at most countable set defined purely in terms of the dynamics. Which labels actually appear depends on the choice of the sampling function; the missing labels are said to correspond to collapsed gaps. Here we show that for any collapsed gap,...
Opérateur de Schrödinger avec champ magnétique
Opérateur de Schrödinger avec une métrique
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