Add to ORKGWe consider eigenfunctions of a semiclassical Schrödinger operator on an interval, with a single-well type potential and Dirichlet boundary conditions. We give upper/lower bounds on the L^2 density of the eigenfunctions that are uniform in both semiclassical and high energy limits. These bounds are optimal and are used in an essential way in a companion paper in application to a controllability problem. The proofs rely on Agmon estimates and a Gronwall type argument in the classically forbidden region, and on the description of semiclassical measures for boundary value problems in the classically allowed region. Limited regularity for the potential is assumed
AbstractWe consider a semiclassical Schrödinger operator in one dimension with an analytic potential...
We consider semiclassical Schrödinger operators with matrix-valued, long-range, smooth potential, fo...
The aim of this work is to provide an upper bound on the eigenvalues countingfunctionN...
We consider eigenfunctions of a semiclassical Schrödinger operator on an interval, with a single-wel...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
Abstract. For all sums of eigenfunctions of a semiclassical Schrödinger oper-ator below some given ...
International audienceThe semiclassical limit, as the Planck constant (h) over bar tends to 0, of bo...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
We consider the operator ${\mathcal A}_h=-h^2\Delta+iV$ in the semi-classical limit $h\rightarrow0$,...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
AbstractWe study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiene...
22 pages.The aim of this paper is to provide uniform estimates for the eigenvalue spacings of one-di...
AbstractWe consider a semiclassical Schrödinger operator in one dimension with an analytic potential...
We consider semiclassical Schrödinger operators with matrix-valued, long-range, smooth potential, fo...
The aim of this work is to provide an upper bound on the eigenvalues countingfunctionN...
We consider eigenfunctions of a semiclassical Schrödinger operator on an interval, with a single-wel...
We consider eigenfunctions of a semiclassical Schr{\"o}dinger operator on an interval, with a single...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
Abstract. For all sums of eigenfunctions of a semiclassical Schrödinger oper-ator below some given ...
International audienceThe semiclassical limit, as the Planck constant (h) over bar tends to 0, of bo...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
We consider the operator ${\mathcal A}_h=-h^2\Delta+iV$ in the semi-classical limit $h\rightarrow0$,...
International audienceWe consider the operator A h = −h 2 ∆ + iV in the semi-classical limit h → 0, ...
AbstractWe study a semiclassical limit of the lowest eigenvalue of a Schrödinger operator on a Wiene...
22 pages.The aim of this paper is to provide uniform estimates for the eigenvalue spacings of one-di...
AbstractWe consider a semiclassical Schrödinger operator in one dimension with an analytic potential...
We consider semiclassical Schrödinger operators with matrix-valued, long-range, smooth potential, fo...
The aim of this work is to provide an upper bound on the eigenvalues countingfunctionN...