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

Olszewski, Stanisław (2019) Circular Scale of Time as a Guide for the Schrödinger Perturbation Process of a Quantum-Mechanical System. World Journal of Mechanics, 09 (05). pp. 113-145. ISSN 2160-049X

[thumbnail of WJM_2019051515135873.pdf] Text
WJM_2019051515135873.pdf - Published Version

Download (721kB)

Abstract

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 .

Item Type: Article
Subjects: STM Academic > Engineering
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 21 Feb 2023 10:20
Last Modified: 21 Feb 2024 04:21
URI: http://article.researchpromo.com/id/eprint/175

Actions (login required)

View Item
View Item