Author(s)

Stanisław Olszewski

Institute of Physical Chemistry, Polish Academy of Sciences, Warsaw, Poland.

We point out that a suitable scale of time for the Schrödinger perturbation process is a closed line having rather a circular and not a conventional straight-linear character. A circular nature of the scale concerns especially the time associated with a particular order N of the perturbation energy which provides us with a full number of the perturbation terms predicted by Huby and Tong. On the other hand, a change of the order N—connected with an increased number of the special time points considered on the scale—requires a progressive character of time. A classification of the perturbation terms is done with the aid of the time-point contractions present on a scale characteristic for each N. This selection of terms can be simplified by a partition procedure of the integer numbers representing N-1. The detailed calculations are performed for the perturbation energy of orders N=7 and N=8 .

Quantum Mechanics, Schrödinger’s Perturbation Process, Accuracy of a Circular Scale of Time in the Perturbation Calculations

Olszewski, S. (2019) Circular Scale of Time as a Guide for the Schrödinger Perturbation Process of a Quantum-Mechanical System. World Journal of Mechanics, 9, 113-145. doi: 10.4236/wjm.2019.95009.