Discrete Schrödinger operators with decaying and oscillating potentials
Artikel i vetenskaplig tidskrift, 2024

The paper is devoted to a family of discrete one-dimensional Schrödinger operators with power-like decaying potentials with rapid oscillations. In particular, for the potential V (n) = λn−α cos(πωnβ) with 1 < β < 2α, it is proved that the spectrum is purely absolutely continuous on the spectrum of the Laplacian.

Spectrum

Laplacian

almost Mathieu operator

Författare

Rupert L. Frank

Munich Ctr Quantum Sci & Technol MCQST

Ludwig-Maximilians-Universität München (LMU)

California Institute of Technology (Caltech)

Simon Larson

Chalmers, Matematiska vetenskaper, Algebra och geometri

St. Petersburg Mathematical Journal

1061-0022 (ISSN) 1547-7371 (eISSN)

Vol. 35 1 233-244

Ämneskategorier

Atom- och molekylfysik och optik

Matematisk analys

DOI

10.1090/spmj/1803

Mer information

Senast uppdaterat

2024-07-05