DISCRETE SCHRODINGER OPERATORS WITH DECAYINGAND OSCILLATING POTENTIALS
Journal article, 2024
The paper is devoted to a family of discrete one-dimensional Schodingeroperators with power-like decaying potentials with rapid oscillations. In particular, the potential V(n)=lambda n(-alpha)cos(pi omega n beta)with1<beta<2 alpha, it is proved that the spectrum is purely absolutely continuous on the spectrum of the Laplacian
Laplacian
almost Mathieu operator
Spectrum
Author
R. L. Frank
California Institute of Technology (Caltech)
Ludwig Maximilian University of Munich (LMU)
Munich Ctr Quantum Sci & Technol MCQST
Simon Larson
University of Gothenburg
Chalmers, Mathematical Sciences, Algebra and geometry
St. Petersburg Mathematical Journal
1061-0022 (ISSN) 1547-7371 (eISSN)
Vol. 35 1 233-244Subject Categories
Mathematics
Physical Sciences
DOI
10.1090/spmj/1803