AbstractWe investigate the kernels of the transformation operators for one-dimensional Schrödinger operators with potentials, which are asymptotically close to Bohr almost periodic infinite-gap potentials
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
In this article, we study the short- and long-range perturbations of periodic Schrodinger operators....
Abstract. We investigate the kernels of the transformation operators for one-dimensional Schrödinge...
AbstractWe investigate the kernels of the transformation operators for one-dimensional Schrödinger o...
In the first part of this thesis we investigate the kernels of the transformation operators for one–...
Abstract. We prove the complete asymptotic expansion of the spectral function (the integral kernel o...
We generalize the approach to localization in one dimension introduced by Kunz-Souillard, and refine...
We prove that one-dimensional Schrödinger operators with even almost periodic potential have no poin...
The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to be stable u...
The spectrum of a Schrödinger operator with periodic potential generally consists of bands and gaps....
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
In this article, we study the short- and long-range perturbations of periodic Schrodinger operators....
Abstract. We investigate the kernels of the transformation operators for one-dimensional Schrödinge...
AbstractWe investigate the kernels of the transformation operators for one-dimensional Schrödinger o...
In the first part of this thesis we investigate the kernels of the transformation operators for one–...
Abstract. We prove the complete asymptotic expansion of the spectral function (the integral kernel o...
We generalize the approach to localization in one dimension introduced by Kunz-Souillard, and refine...
We prove that one-dimensional Schrödinger operators with even almost periodic potential have no poin...
The absolutely continuous spectrum of one-dimensional Schrödinger operators is proved to be stable u...
The spectrum of a Schrödinger operator with periodic potential generally consists of bands and gaps....
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-d...
In this paper we consider the Schrödinger operator H = –d2/dx2+ V in L2(ℝ), where V satisfies an abs...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
We find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asymptotic seri...
AbstractWe find sufficient conditions for the ground state energy e(λ) of −Δ + λV to have an asympto...
In this article, we study the short- and long-range perturbations of periodic Schrodinger operators....