Affiliation:
1. Department of Pure and Applied Mathematics, University of Crete, and Institute of Applied and Computational Mathematics, FORTH, GR-711 10, Greece
Abstract
In this paper we study the semiclassical behavior of the scattering data of a non-self-adjoint Dirac operator with a real, positive, multi-humped, fairly smooth but not necessarily analytic potential decaying at infinity. We provide the rigorous semiclassical analysis of the Bohr-Sommerfeld condition for the location of the eigenvalues, the norming constants, and the reflection coefficient.
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