Circular Scale of Time as a Guide for the Schrödinger Perturbation Process of a Quantum-Mechanical System

摘要

We point out that a suitable scale of time for the Schr ö dinger 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 .