Affiliation:
1. Department of Mechanical Engineering Dogus University Istanbul Turkey
Abstract
AbstractIn this article, we consider the one‐dimensional Schrödinger operator with a Hermitian periodic matrix potential Q. We investigate the bands and gaps of the spectrum and prove that most of the positive real axis is overlapped by m bands. Moreover, we find a condition on the potential Q for which the number of gaps in the spectrum of is finite.
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