DISCRETE SCHRODINGER OPERATORS WITH DECAYING AND 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
Ludwig Maximilian University of Munich (LMU)
Munich Ctr Quantum Sci & Technol MCQST
California Institute of Technology (Caltech)
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 (SSIF 2011)
Mathematics
Physical Sciences
DOI
10.1090/spmj/1803