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Olszewski, S. (2014) Circular Scale of Time and Energy of a Quantum State Calculated from the Schrodinger Perturbation Theory. Circular Scale of Time and Construction of the Schrodinger Perturbation Series for Energy Made Simple. Journal of Modern Physics, 5, 1502.

has been cited by the following article:

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

  AUTHORS: Stanisław Olszewski

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

  JOURNAL NAME: World Journal of Mechanics, Vol.9 No.5, May 16, 2019

  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 .