TITLE:
Circular Scale of Time as a Guide of the Schrödinger’s Perturbation Theory
AUTHORS:
S. Olszewski
KEYWORDS:
Scale of Time, Schrödinger’s Perturbation Theory, Non-Degenerate Quantum State
JOURNAL NAME:
Journal of Modern Physics,
Vol.13 No.7,
July
18,
2022
ABSTRACT: The paper is a kind of a review which considers an investigation of the scale of time suggested by an application of the Schrödinger perturbation method, especially when the perturbation of a non-degenerate quantum state is examined. In fact the method was applied in numerous cases—also by Schrödinger himself—without any use of the notion of time. Simultaneously, because of the development of computers, their use in solving the perturbation problems gradually decreased. However, the point of importance in the paper became the time. We demonstrate that collisions of a quantum system with the perturbation potential can be arranged along a circular scale of time whose properties provide us precisely with the energy terms obtained by the Schrödinger perturbation theory. This validity of results is checked till the perturbation order N = 7.