Circular Scale of Time and Energy of a Quantum State Calculated from the Schrödinger Perturbation Theory

Abstract

The main facts about the scale of time considered as a plot of a sequence of events are submitted both to a review and a more detailed calculation. Classical progressive character of the time variable, present in the everyday life and in the modern science, too, is compared with a circular-like kind of advancement of time. This second kind of the time behaviour can be found suitable when a perturbation process of a quantum-mechanical system is examined. In fact the paper demonstrates that the complicated high-order Schrodinger perturbation energy of a non-degenerate quantum state becomes easy to approach of the basis of a circular scale. For example for the perturbation order N = 20 instead of 19! ≈ 1.216 × 10 17 Feynman diagrams, the contribution of which should be derived and calculated, only less than 2 18 ≈ 2.621 × 10 5 terms belonging to N = 20 should be taken into account to the same purpose.