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

• 作者: aw Olszewski Stanisł
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: QUANTUM Mechanics Schr?dinger’s PERTURBATION PROCESS Accuracy of a CIRCULAR SCALE of TIME in the PERTURBATION Calculations
• 年，卷（期）: lxgjqkyw_2019,（5）
• 页码范围: 113-145
• 页数: 33页
• 分类号: O1

摘要

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 .