Semiclassical WKB problem for the non-self-adjoint Dirac operator with a decaying potential
Semiclassical WKB problem for the non-self-adjoint Dirac operator with a decaying potential
In this paper, we examine the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a fairly smooth—but not necessarily analytic—potential decaying at infinity. In particular, using ideas and methods from the work of Langer and Olver [Philos. Trans. R. Soc. London, Ser. A 278(1279), 137–174 (1975)], …