Circular Scale of Time and Its Use in Calculating the Schrödinger Perturbation Energy of a Non-Degenerate Quantum State

Abstract

The paper presents a circular scale of time—and its diagrams—which can be successfully applied in calculating the Schr ö dinger perturbation energy of a non-degenerate quantum state. This seems to be done in a more simple way than with the aid of any other of the perturbation approaches of a similar kind. As an example of the theory suitable to comparison is considered the Feynman diagrammatic method based on a straight-linear scale of time which represents a much more complicated formalism than the present one. All diagrams of the approach outlined in the paper can obtain as their counterparts the algebraic formulae which can be easily extended to an arbitrary Schr ö dinger perturbation order. The calculations and results descending from the perturbation orders N between N = 1 and N = 7 are reported in detail.