In this paper, we prove the existence of the Stark-Wannier quantum resonances for one-dimensional Schr\uf6dinger operators with smooth periodic potential and small external homogeneous electric field. Such a result extends the existence result previously obtained in the case of periodic potentials with a finite number of open gaps
On L 2 (R), we consider the Schrödinger operator (1.1) H ǫ = − ∂ 2 ∂x 2 + v(x) − ǫx, where v is a re...
We extend the rigorous theory of complex scaling to atoms in constant electric field. This allows on...
. We consider a Wannier-Stark problem for small field f in the oneladder case. We prove that a gener...
In this paper, we prove the existence of the Stark-Wannier quantum resonances for one-dimensional S...
Abstract. In this paper we prove the existence of the Stark-Wannier quan-tum resonances for one-dime...
In this paper, we study the Wannier-Stark ladder by carrying out numerical calculations on a multipl...
In this paper we consider stationary solutions to the nonlinear one-dimensional Schrödinger equation...
Let H-B be any fixed one-dimensional Bloch Hamiltonian with only the first m gaps open and H-F = H-B...
In this work, we discuss the resonance states of a quantum particle in a periodic potential plus sta...
The paper discusses the metastable states of a quantum particle in a periodic potential under a cons...
Abstract. The paper discusses the metastable states of a quantum particle in a periodic potential un...
Following Avron we consider the Stark effect for Bloch electrons in the case of a finite number of g...
In this talk, we report on results about the width of the resonances for a slowly varying perturbati...
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel...
29 pages, published versionInternational audienceWe consider the Hamiltonian $H$ of a 3D spinless no...
On L 2 (R), we consider the Schrödinger operator (1.1) H ǫ = − ∂ 2 ∂x 2 + v(x) − ǫx, where v is a re...
We extend the rigorous theory of complex scaling to atoms in constant electric field. This allows on...
. We consider a Wannier-Stark problem for small field f in the oneladder case. We prove that a gener...
In this paper, we prove the existence of the Stark-Wannier quantum resonances for one-dimensional S...
Abstract. In this paper we prove the existence of the Stark-Wannier quan-tum resonances for one-dime...
In this paper, we study the Wannier-Stark ladder by carrying out numerical calculations on a multipl...
In this paper we consider stationary solutions to the nonlinear one-dimensional Schrödinger equation...
Let H-B be any fixed one-dimensional Bloch Hamiltonian with only the first m gaps open and H-F = H-B...
In this work, we discuss the resonance states of a quantum particle in a periodic potential plus sta...
The paper discusses the metastable states of a quantum particle in a periodic potential under a cons...
Abstract. The paper discusses the metastable states of a quantum particle in a periodic potential un...
Following Avron we consider the Stark effect for Bloch electrons in the case of a finite number of g...
In this talk, we report on results about the width of the resonances for a slowly varying perturbati...
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel...
29 pages, published versionInternational audienceWe consider the Hamiltonian $H$ of a 3D spinless no...
On L 2 (R), we consider the Schrödinger operator (1.1) H ǫ = − ∂ 2 ∂x 2 + v(x) − ǫx, where v is a re...
We extend the rigorous theory of complex scaling to atoms in constant electric field. This allows on...
. We consider a Wannier-Stark problem for small field f in the oneladder case. We prove that a gener...
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