Continuous quasiperiodic Schrodinger operators with Gordon type potentials Academic Article uri icon

abstract

  • Let us concern the quasi-periodic Schrdinger operator in the continuous case (Hy)(x) = y(x) + V(x, x)y(x), where V:(R/Z)2R is piecewisely -Hlder continuous with respect to the second variable. Let L(E) be the Lyapunov exponent of Hy = Ey. Define () as ()=lim supkln||k||k. We prove that H admits no eigenvalue in regime {ER:L(E)>()}.

published proceedings

  • JOURNAL OF MATHEMATICAL PHYSICS

altmetric score

  • 0.75

author list (cited authors)

  • Liu, W.

citation count

  • 1

complete list of authors

  • Liu, Wencai

publication date

  • June 2018