Exceptional points in Faddeev scattering problem

Abstract

Exceptional points are values of the spectral parameter for which the homogeneous Faddeev scattering problem has a non-trivial solution. We study the existence/absence of exceptional points for small perturbations of conductive potentials of arbitrary shape and show that problems with absorbing potentials do not have exceptional points in a neighborhood of the origin. A criterion for existence of exceptional points is given.

Minor corrections are made

References in corpus (3)

• Applications of elliptic operator theory to the isotropic interior transmission eigenvalue problem
• Exceptional circles of radial potentials
• Weyl type bound on positive Interior Transmission Eigenvalues