Add to ORKGThis talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Schrodinger equation, obtained in recent joint works with Wilhelm Schlag. We consider one-dimensional dierence Schrodinger equatio
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral ...
Usually spectral structure of the ordinary periodic Schrödinger operator is revealed based on analy...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of d...
n this article we investigate numerically the spectrum of some representative examples of discrete ...
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
In this paper we investigate numerically the following Hill’s equation x00 + (a + bq(t))x = 0 where ...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
In this note, I wish to describe the first order semiclassical approximation to the spectr...
Cet article est en français / This paper is in frenchThis paper is devoted to the description of our...
In this paper, we study spectral properties of the one dimensional periodic Schrödinger operator wit...
This paper concerns Hill’s equation with a (parametric) forcing that is real analytic and quasi-peri...
Wigner-von Neumann type perturbations of the periodic one-dimensional Schrodinger operator are consi...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral ...
Usually spectral structure of the ordinary periodic Schrödinger operator is revealed based on analy...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of d...
n this article we investigate numerically the spectrum of some representative examples of discrete ...
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
In this paper we investigate numerically the following Hill’s equation x00 + (a + bq(t))x = 0 where ...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
In this note, I wish to describe the first order semiclassical approximation to the spectr...
Cet article est en français / This paper is in frenchThis paper is devoted to the description of our...
In this paper, we study spectral properties of the one dimensional periodic Schrödinger operator wit...
This paper concerns Hill’s equation with a (parametric) forcing that is real analytic and quasi-peri...
Wigner-von Neumann type perturbations of the periodic one-dimensional Schrodinger operator are consi...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
We survey the theory of quasi-periodic Schrödinger-type operators, focusing on the advances made sin...
For the one-dimensional Schrödinger equation, some real intervals with no eigenvalues (the spectral ...
Usually spectral structure of the ordinary periodic Schrödinger operator is revealed based on analy...