A series of spectral gaps for the almost Mathieu operator with a small coupling constant

Abstract

For the almost Mathieu operator with a small coupling constant, for a series of spectral gaps, we describe the asymptotic locations of the gaps and get lower bounds for their lengths. The results are obtained by analysing a monodromy matrix.

41 pages, 1 figure

References in corpus (1)

• Asymptotics of spectral gaps of quasi-periodic Schrödinger operators