2 papers
math.AP2019
Complex eigenvalue splitting for the Dirac operator
Koki Hirota, Jens Wittsten
We analyze the eigenvalue problem for the semiclassical Dirac (or Zakharov-Shabat) operator on the real line with general analytic potential. We provide Bohr-Sommerfeld quantizatio…
math.AP2017
Real eigenvalues of a non-self-adjoint perturbation of the self-adjoint Zakharov-Shabat operator
K. Hirota
We study the eigenvalues of the self-adjoint Zakharov-Shabat operator corresponding to the defocusing nonlinear Schrodinger equation in the inverse scattering method. Real eigenval…