Anomaly and singular continuous spectrum in a one-dimensional incommensurate system

1989 ◽  
Vol 22 (13) ◽  
pp. L571-L577 ◽  
Author(s):  
Yong-Jihn Kim ◽  
M Y Choi ◽  
M H Lee
Keyword(s):  
Continuous Spectrum ◽  
Singular Continuous Spectrum ◽  
One Dimensional

On the singular continuous spectrum of self-adjoint extensions

1996 ◽  
Vol 222 (4) ◽  
pp. 533-542 ◽  
Author(s):  
Johannes Brasche ◽  
Hagen Neidhardt
Keyword(s):  
Continuous Spectrum ◽  
Singular Continuous Spectrum

scholarly journals Duality and singular continuous spectrum in the almost Mathieu equation

1997 ◽  
Vol 178 (2) ◽  
pp. 169-183 ◽  
Author(s):  
A. Y. Gordon ◽  
S. Jitomirskaya ◽  
Y. Last ◽  
B. Simon
Keyword(s):  
Continuous Spectrum ◽  
Mathieu Equation ◽  
Singular Continuous Spectrum

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.

On the singular continuous spectrum of self-adjoint extensions

1996 ◽  
Vol 222 (4) ◽  
pp. 533-542 ◽  
Author(s):  
Johannes Brasche ◽  
Hagen Neidhardt
Keyword(s):  
Continuous Spectrum ◽  
Singular Continuous Spectrum
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