Scattering theory in the weighted spaces for some Schrödinger equations
Scattering theory: Some old and new problems.
Scattering, transformations spectrales et équations d'évolution non linéaire II
Scattering, transformations spectrales et équations d'évolution non linéaires
Schrödinger equation spectrum and Korteweg-De Vries type invariants
Schrödinger operator with magnetic field in domain with corners
We present here a simplified version of results obtained with F. Alouges, M. Dauge, B. Helffer and G. Vial (cf [4, 7, 9]). We analyze the Schrödinger operator with magnetic field in an infinite sector. This study allows to determine accurate approximation of the low-lying eigenpairs of the Schrödinger operator in domains with corners. We complete this analysis with numerical experiments.
Schrödinger operators in the uniform norm
Schrödinger operators with almost periodic potentials in nonseparable Hilbert spaces
Schrödinger operators with Highly Singular, Oscillating Potentials.
Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
Semi-classical analysis and vanishing properties of solutions to quasilinear equations.
Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
Semiclassical analysis of low lying eigenvalues. I. Non degenerate minima : asymptotic expansions
Semiclassical analysis of low lying eigenvalues. I. Non-degenerate minima : asymptotic expansions
Semiclassical and weak-magnetic-field eigenvalue asymptotics for the Schrödinger operator with electromagnetic potential
Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part i: non-critical case
We consider a version of the Weyl formula describing the asymptotic behaviour of the counting function of eigenvalues in the semiclassical approximation for self-adjoint elliptic differential operators under weak regularity hypotheses. Our aim is to treat Hölder continuous coefficients and to investigate the case of critical energy values as well.
Semi-classical eigenstates at the bottom of a multidimensional well
Semiclassical eigenstates in a multidimensional well
Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections
Semiclassical resolvent estimates