Quasi-exactly solvable deformations of quantum systems associated with exceptional orthogonal polynomials
This research constructs new families of quasi-exactly solvable (QES) quantum systems by deforming supersymmetric partners of exactly solvable systems using Darboux-Crum transformations and exceptional orthogonal polynomials. The method involves applying these transformations to established solvable models before introducing specific deformations, providing a novel framework for generating complex QES potentials.