Add to ORKGAbstract. In this article we review some recent developments in the theory of Schrödinger operators with quasi-periodic potentials on the discrete line. We focus in particular on the work by the authors on the formation of a dense set of gaps in the spectrum of such operators with general analytic potentials, provided the Lyapunov exponent is positive
We study some spectral problems for a second-order differential operator with periodic potential. No...
In this note, I wish to describe the first order semiclassical approximation to the spectr...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
Abstract. We exhibit a dense set of limit periodic potentials for which the corresponding one-dimens...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of ...
We consider discrete quasiperiodic Schrödinger operators with analytic samplingfunctions. The thesis...
AbstractWe consider the Schrödinger operator on the real line with a 2×2 matrix-valued 1-periodic po...
We study discrete spectrum in spectral gaps of an elliptic periodic second order different...
Abstract. In this note, I wish to describe the first order semiclassical approximation to the spec-t...
We study discrete quasiperiodic Schrödinger operators on ℓ2(ℤ) with potentials defined by γ-Hölder f...
n this article we investigate numerically the spectrum of some representative examples of discrete ...
Consider the Schrödinger operator Ly = -y" + q'y on L²(R) with a periodic distrib...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
AbstractWe investigate the spectral properties of discrete one-dimensional Schrödinger operators who...
We study some spectral problems for a second-order differential operator with periodic potential. No...
In this note, I wish to describe the first order semiclassical approximation to the spectr...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
Abstract. We exhibit a dense set of limit periodic potentials for which the corresponding one-dimens...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of ...
We consider discrete quasiperiodic Schrödinger operators with analytic samplingfunctions. The thesis...
AbstractWe consider the Schrödinger operator on the real line with a 2×2 matrix-valued 1-periodic po...
We study discrete spectrum in spectral gaps of an elliptic periodic second order different...
Abstract. In this note, I wish to describe the first order semiclassical approximation to the spec-t...
We study discrete quasiperiodic Schrödinger operators on ℓ2(ℤ) with potentials defined by γ-Hölder f...
n this article we investigate numerically the spectrum of some representative examples of discrete ...
Consider the Schrödinger operator Ly = -y" + q'y on L²(R) with a periodic distrib...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
AbstractWe investigate the spectral properties of discrete one-dimensional Schrödinger operators who...
We study some spectral problems for a second-order differential operator with periodic potential. No...
In this note, I wish to describe the first order semiclassical approximation to the spectr...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...