2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217089An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schrödinger perturbation theory and yields expansions for eigenvalues and eigenvectors in terms of functions of the perturbation parameter.11 pages, LaTeXQuantum Physicstext