Asymptotic distribution of resonances for one-dimensional Schrödinger operators with compactly supported potential

2007 ◽  
Vol 198 (12) ◽  
pp. 1787-1804 ◽  
Author(s):  
S A Stepin ◽  
A G Tarasov
Keyword(s):  
Asymptotic Distribution ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
One Dimensional ◽  
Compactly Supported

scholarly journals Reflection Probabilities of One-Dimensional Schrödinger Operators and Scattering Theory

2017 ◽  
Vol 18 (6) ◽  
pp. 2075-2085 ◽  
Author(s):  
Benjamin Landon ◽  
Annalisa Panati ◽  
Jane Panangaden ◽  
Justine Zwicker
Keyword(s):  
Scattering Theory ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
One Dimensional

PACKING SUBORDINACY WITH APPLICATION TO SPECTRAL CONTINUITY

2019 ◽  
Vol 108 (2) ◽  
pp. 226-244 ◽  
Author(s):  
V. R. BAZAO ◽  
S. L. CARVALHO ◽  
C. R. DE OLIVEIRA
Keyword(s):  
Continuous Spectrum ◽  
Dimensional Stability ◽  
Schrödinger Operators ◽  
Stability Result ◽  
Schrodinger Operators ◽  
Spectral Measures ◽  
One Dimensional ◽  
Continuity Properties ◽  
Rotation Numbers ◽  
Spectral Continuity

By using methods of subordinacy theory, we study packing continuity properties of spectral measures of discrete one-dimensional Schrödinger operators acting on the whole line. Then we apply these methods to Sturmian operators with rotation numbers of quasibounded density to show that they have purely $\unicode[STIX]{x1D6FC}$-packing continuous spectrum. A dimensional stability result is also mentioned.

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