Abstract
In this article we consider a one-dimensional Dirac operator with a potential of Gevrey class α and study the semiclassical and high-energy asymptotics of the spectral gaps for a region of energies that in the Schrödinger case corresponds to unbounded motion. An exponential upper bound for the gap’s widths as well as the asymptotic expansion of their positions are derived for both cases; the first two terms in the asymptotic expansions are explicitly written down for the scalar potential case.
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