Add to ORKGI relate the existence of eigenfunctions of decaying perturbations of the free Laplacian to the semi-classical behavior of the spectrum of quasi-periodic Schrödinger operators. In particular, I construct embedded eigenvalues in the spectrum of the discrete Laplacian perturbed by a potential of generalized bounded variation
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem...
AbstractI relate the existence of eigenfunctions of decaying perturbations of the free Laplacian to ...
Schrödinger operators on the half line. More precisely, the perturbations we consider satisfy a gene...
We investigate the Schrödinger operator $L_{(q)}$ in $L_{(2)}(\mathbb{R}^d)\;(d\geq1)$ with the comp...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
Wigner-von Neumann type perturbations of the periodic one-dimensional Schrodinger operator are consi...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. We prove that a class of discrete Schrodinger operators with a quasi-periodic potential ta...
Abstract. A common challenge to proving asymptotic stability of solitary waves is understanding the ...
Abstract. It is known that, if a locally perturbed periodic self-adjoint operator on a combinatorial...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
Perturbation problems for operators with embedded eigenvalues are generally challenging since the em...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem...
AbstractI relate the existence of eigenfunctions of decaying perturbations of the free Laplacian to ...
Schrödinger operators on the half line. More precisely, the perturbations we consider satisfy a gene...
We investigate the Schrödinger operator $L_{(q)}$ in $L_{(2)}(\mathbb{R}^d)\;(d\geq1)$ with the comp...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We consider Schrödinger operators H = −1/2 Δ + V for a large class of potentials. V. We show that if...
Wigner-von Neumann type perturbations of the periodic one-dimensional Schrodinger operator are consi...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. We prove that a class of discrete Schrodinger operators with a quasi-periodic potential ta...
Abstract. A common challenge to proving asymptotic stability of solitary waves is understanding the ...
Abstract. It is known that, if a locally perturbed periodic self-adjoint operator on a combinatorial...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
Perturbation problems for operators with embedded eigenvalues are generally challenging since the em...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
In this paper we discuss several examples of Schrödinger operators describing a particle confined to...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem...