Développements asymptotiques pour des perturbations fortes de l'opérateur de Schrödinger périodique
Distribution of matrix elements and level spacings for classically chaotic systems
Effets dispersifs dans les équations de Schrödinger et de Vlasov
Eigenmodes of the damped wave equation and small hyperbolic subsets
We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...
Eigenvalue distribution of random operators and matrices
Entropy and localization of eigenfunctions
Équation de Schrödinger magnétique périodique avec symétrie d'ordre six : mesure du spectre II
Équations de Schrödinger avec potentiels singuliers et à longue portée dans l'approximation de liaison forte
Équilibre instable en régime semi-classique. II. Conditions de Bohr-Sommerfeld
Erratum to “Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials”.
Estimation des résidus de la matrice de diffusion associés à des résonances de forme I
Estimations exponentielles en théorie de la diffusion pour des opérateurs de Schrödinger matriciels
Estimations sur l'effet tunnel microlocal
Étude semi-classique d'une perturbation d'un opérateur de Schrödinger périodique
Exact solutions and symmetry operators for the nonlocal Gross-Pitaevskii equation with quadratic potential.
Explicit summation of the constituent WKB series and new approximate wave functions.
Far from equilibrium steady states of 1D-Schrödinger–Poisson systems with quantum wells I
From multi-instantons to exact results
In these notes, conjectures about the exact semi-classical expansion of eigenvalues of hamiltonians corresponding to potentials with degenerate minima, are recalled. They were initially motivated by semi-classical calculations of quantum partition functions using a path integral representation and have later been proven to a large extent, using the theory of resurgent functions. They take the form of generalized Bohr--Sommerfeld quantization formulae. We explain here their...
Functional integral approaches to the bosonization of effective multi-quark interactions with breaking.
Global existence of solutions to Schrödinger equations on compact riemannian manifolds below
In this paper, we will study global well-posedness for the cubic defocusing nonlinear Schrödinger equations on the compact Riemannian manifold without boundary, below the energy space, i.e. , under some bilinear Strichartz assumption. We will find some , such that the solution is global for .