In this paper we find explicit conditions on the periodic PT-symmetric complex-valued potential q for which the number of gaps in the real part of the spectrum of the one-dimensional Schrodinger operator L(q) is finite
In this paper, we give a description of the spectral analysis of the Schrodinger operator L(q) with ...
AbstractWe consider the Schrödinger operator on the real line with a 2×2 matrix-valued 1-periodic po...
Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: ...
We enlarge the limited class of analytically solvable one-dimensional periodic potentials with a fin...
Veliev, Oktay A. (Dogus Author)In this paper, we investigate the spectrum and spectrality of the one...
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
Appearance of energy bands and gaps in the dispersion relations of a periodic potential is a standar...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of ...
Let L be the Hill-Schrodinger operator considered with a singular complex-valued potential v of the ...
Abstract. In this article we review some recent developments in the theory of Schrödinger operators...
We review the current status of one dimensional periodic potentials and also present several new res...
AbstractThe Bethe–Sommerfeld conjecture states that the spectrum of the stationary Schrödinger opera...
This document overlap with a previous prepublication, hal-02497879v1, but contains several improveme...
Associated Lame potentials V(x)=a(a+1)msn2(x,m)+b(b+1)mcn2(x,m)/dn2(x,m) are used to construct compl...
The spectrum of a Schrödinger operator with periodic potential generally consists of bands and gaps....
In this paper, we give a description of the spectral analysis of the Schrodinger operator L(q) with ...
AbstractWe consider the Schrödinger operator on the real line with a 2×2 matrix-valued 1-periodic po...
Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: ...
We enlarge the limited class of analytically solvable one-dimensional periodic potentials with a fin...
Veliev, Oktay A. (Dogus Author)In this paper, we investigate the spectrum and spectrality of the one...
The spectral properties of the Schrödinger operator T_t y = -y"+ q_t y in L²(R) are st...
Appearance of energy bands and gaps in the dispersion relations of a periodic potential is a standar...
Abstract. In this paper we investigate numerically the spectrum of some representative examples of ...
Let L be the Hill-Schrodinger operator considered with a singular complex-valued potential v of the ...
Abstract. In this article we review some recent developments in the theory of Schrödinger operators...
We review the current status of one dimensional periodic potentials and also present several new res...
AbstractThe Bethe–Sommerfeld conjecture states that the spectrum of the stationary Schrödinger opera...
This document overlap with a previous prepublication, hal-02497879v1, but contains several improveme...
Associated Lame potentials V(x)=a(a+1)msn2(x,m)+b(b+1)mcn2(x,m)/dn2(x,m) are used to construct compl...
The spectrum of a Schrödinger operator with periodic potential generally consists of bands and gaps....
In this paper, we give a description of the spectral analysis of the Schrodinger operator L(q) with ...
AbstractWe consider the Schrödinger operator on the real line with a 2×2 matrix-valued 1-periodic po...
Two PT-symmetric potentials are compared, which possess asymptotically finite imaginary components: ...
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