On the singular spectrum for adiabatic quasi-periodic Schrodinger operators on the real line
Fedotov, Alexander ; Klopp, Frederic
arXiv, 0304035 / Harvested from arXiv
Text on arXiv
In this paper, we study spectral properties of a family of quasi-periodic Schrodinger operators on the real line in the adiabatic limit. We assume that the adiabatic iso-energetic curves are extended along the momentum direction. In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent, and show that the spectrum is purely singular.
Publié le : 2003-04-25
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  Mathematics - Spectral Theory,  34E05, 34E20, 34L05 
@article{0304035,
     author = {Fedotov, Alexander and Klopp, Frederic},
     title = {On the singular spectrum for adiabatic quasi-periodic Schrodinger
  operators on the real line},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304035}
}

Fedotov, Alexander; Klopp, Frederic. On the singular spectrum for adiabatic quasi-periodic Schrodinger
  operators on the real line. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304035/