Circular Time Scale Yields a Recurrent Calculation of the Schrödinger Perturbation Energy

Abstract

An essential simplification of approach to the Schr ö dinger perturbation series for energy does hold when the perturbation events are arranged along a circular scale of time. The aim of the present paper is to demonstrate how such a scale of time leads to the recurrence calculation process of the Schr ö dinger energy terms belonging to an arbitrary perturbation order N . This process seems to have never been represented before. Only a non-degenerate quantum state and its perturbation due to the space-dependent potential are considered in the paper.