scholarly journals Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime

2015 ◽  
Vol 56 (1) ◽  
pp. 012701 ◽  
Author(s):  
Wencai Liu ◽  
Xiaoping Yuan
Keyword(s):  
Schrödinger Operator ◽  
Hölder Continuity ◽  
Schrodinger Operator ◽  
Holder Continuity ◽  
Spectral Measures ◽  
One Dimensional

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.

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