scholarly journals One-dimensional Schrodinger operator with a negative parameter and its applications to the study of the approximation numbers of a singular hyperbolic operator

Filomat ◽  
2018 ◽  
Vol 32 (3) ◽  
pp. 785-790
Author(s):  
M.B. Muratbekov ◽  
M.M. Muratbekov
Keyword(s):  
Distribution Function ◽  
Schrödinger Operator ◽  
Hyperbolic Type ◽  
Singular Operator ◽  
Schrodinger Operator ◽  
Hyperbolic Operator ◽  
Approximation Numbers ◽  
One Dimensional ◽  
The One ◽  
Negative Parameter

In this paper we use the one-dimensional Schr?dinger operator with a negative parameter to the study of the approximation numbers of a hyperbolic type singular operator. Estimates for the distribution function of the approximation numbers are obtained.

scholarly journals On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential

2017 ◽  
Vol 14 (05) ◽  
pp. 1750065 ◽  
Author(s):  
Oktay Veliev
Keyword(s):  
Schrödinger Operator ◽  
Spectral Properties ◽  
Schrodinger Operator ◽  
Symmetric Potential ◽  
One Dimensional ◽  
Symmetric Complex ◽  
The One ◽  
Complex Valued

In this paper, we investigate the spectrum and spectrality of the one-dimensional Schrödinger operator with a periodic PT-symmetric complex-valued potential.

The one-dimensional Schrödinger operator with point δ- and δ-interactions

2008 ◽  
Vol 84 (1-2) ◽  
pp. 125-129 ◽  
Author(s):  
N. I. Goloshchapova ◽  
L. L. Oridoroga
Keyword(s):  
Schrödinger Operator ◽  
Schrodinger Operator ◽  
One Dimensional ◽  
The One
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