Perturbation theory for embedded eigenvalues of asymptotically periodic operators
This thesis explores the persistence of embedded eigenvalues of asymptotically periodic Schrödinger-type operators under perturbations on domains with only one unbounded direction. Embedded eigenvalues present unique challenges, as they lie within the continuous spectrum, making their stability under perturbations a nontrivial problem.The aim of the first part of the thesis is to provide a general