DISCRETE SCHRODINGER OPERATORS WITH DECAYING AND OSCILLATING POTENTIALS
Artikel i vetenskaplig tidskrift, 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
Författare
R. L. Frank
Ludwig-Maximilians-Universität München (LMU)
Munich Ctr Quantum Sci & Technol MCQST
California Institute of Technology (Caltech)
Simon Larson
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Algebra och geometri
St. Petersburg Mathematical Journal
1061-0022 (ISSN) 1547-7371 (eISSN)
Vol. 35 1 233-244Ämneskategorier (SSIF 2011)
Matematik
Fysik
DOI
10.1090/spmj/1803