In this article, we obtain asymptotic formulas for the Bloch eigenvalues of the operator L generated by a system of Schrödinger equations with periodic PT-symmetric complex-valued coefficients. Then, using these formulas, we classify the spectrum ?(L) of L and find a condition on the coefficients for which ?(L) contains all half line [H, ?) for some H. © 2021 Author(s)
Veliev, Oktay A. (Dogus Author)The book describes the direct problems and the inverse problem of the...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We investigate the Schrödinger operator $L_{(q)}$ in $L_{(2)}(\mathbb{R}^d)\;(d\geq1)$ with the comp...
Veliev, Oktay A. (Dogus Author)In this paper, we investigate the spectrum and spectrality of the one...
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the perio...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger o...
In this paper, we give a description of the spectral analysis of the Schrodinger operator L(q) with ...
In this article, we study the short- and long-range perturbations of periodic Schrodinger operators....
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
Veliev, Oktay A. (Dogus Author)In this paper we investigate the one-dimensional Schrodinger operator...
Veliev, Oktay A. (Dogus Author)The book describes the direct problems and the inverse problem of the...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
We investigate the Schrödinger operator $L_{(q)}$ in $L_{(2)}(\mathbb{R}^d)\;(d\geq1)$ with the comp...
Veliev, Oktay A. (Dogus Author)In this paper, we investigate the spectrum and spectrality of the one...
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the perio...
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem ...
The book describes the direct problems and the inverse problem of the multidimensional Schrödinger o...
In this paper, we give a description of the spectral analysis of the Schrodinger operator L(q) with ...
In this article, we study the short- and long-range perturbations of periodic Schrodinger operators....
The Schrödinger equation ... is considered. The solution of this equation is reduced to the problem...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
International audienceThis article is devoted to the spectral analysis of the electromagnetic Schröd...
Veliev, Oktay A. (Dogus Author)In this paper we investigate the one-dimensional Schrodinger operator...
Veliev, Oktay A. (Dogus Author)The book describes the direct problems and the inverse problem of the...
The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, d...
AbstractWe consider Schrödinger operators H = − 12Δ + V for a large class of potentials. V. We show ...
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