In this paper we study of the residue of the scattering amplitude for resonances near the real axis. We are motivated by the following interesting result by Lahmar-Benbernou and Martinez [Be], [BeM]. Consider the semiclassical scattering amplitude related to the Schrödinger equation in the case of a “well in an island”. They studied a simple resonance z0(h) exponentially close to the real axis, corresponding to
We discuss the relation between the analytic structure of the scattering amplitude and the origin of...
In the setting of obstacle scattering in Euclidean spaces, the poles of meromorphic continuation of ...
AbstractTraceformulas are useful in the study of resonances. In this article, we work in a semi-clas...
Abstract. We show how the presence of resonances close to the real axis implies exponential lower bo...
Microlocalization of resonant states and estimates of the residue of the scattering amplitude Jean-f...
We study aspects of scattering theory for the Schrödinger operator on the real line. In the first pa...
Abstract. We study the semi-classical behavior as h → 0 of the scattering amplitude f (θ, ω, λ, h) a...
We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant...
International audienceWe study the spectral projection associated to a barrier-top resonance for the...
Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to...
An exact Fourier-Bessel representation of the scattering amplitude is introduced and discussed for p...
International audienceIn this paper we study the distribution of scattering resonances for a multi-d...
The derivation of a partial-wave amplitude for scattering by a separable, nonlocal potential given b...
The purpose of this paper is to describe the basic problems of resonances via meromorphic continuati...
The well-known resonance structure in the scattering amplitudes for dielectric spheres (Mie scatteri...
We discuss the relation between the analytic structure of the scattering amplitude and the origin of...
In the setting of obstacle scattering in Euclidean spaces, the poles of meromorphic continuation of ...
AbstractTraceformulas are useful in the study of resonances. In this article, we work in a semi-clas...
Abstract. We show how the presence of resonances close to the real axis implies exponential lower bo...
Microlocalization of resonant states and estimates of the residue of the scattering amplitude Jean-f...
We study aspects of scattering theory for the Schrödinger operator on the real line. In the first pa...
Abstract. We study the semi-classical behavior as h → 0 of the scattering amplitude f (θ, ω, λ, h) a...
We employ a scalar model to exemplify the use of contour deformations when solving Lorentz-invariant...
International audienceWe study the spectral projection associated to a barrier-top resonance for the...
Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to...
An exact Fourier-Bessel representation of the scattering amplitude is introduced and discussed for p...
International audienceIn this paper we study the distribution of scattering resonances for a multi-d...
The derivation of a partial-wave amplitude for scattering by a separable, nonlocal potential given b...
The purpose of this paper is to describe the basic problems of resonances via meromorphic continuati...
The well-known resonance structure in the scattering amplitudes for dielectric spheres (Mie scatteri...
We discuss the relation between the analytic structure of the scattering amplitude and the origin of...
In the setting of obstacle scattering in Euclidean spaces, the poles of meromorphic continuation of ...
AbstractTraceformulas are useful in the study of resonances. In this article, we work in a semi-clas...