Direct search for wave operator by a Genetic Algorithm (GA): Route to few eigenvalues of a Hamiltonian

A genetic algorithm is invoked to search out the wave operator leading to the determination of a few eigenvalues and eigenvectors of a specially designed real symmetric matrix (Durand matrix) that simulates a Hamiltonian supporting bound states coupled to continuum. The performance is compared with that of a standard iterative method for different partition sizes, and parallelizability of the GA-based approach is tested. In many cases the GA-based approach smoothly converges while the standard iterative schemes diverge.