Abstract
The main facts about the scale of time considered as a plot of a sequence of events are submitted both to a review and a more detailed calculation. Classical progressive character of the time variable, present in the everyday life and in the modern science, too, is compared with a circular-like kind of advancement of time. This second kind of the time behaviour can be found suitable when a perturbation process of a quantum-mechanical system is examined. In fact the paper demonstrates that the complicated high-order Schrodinger perturbation energy of a non-degenerate quantum state becomes easy to approach of the basis of a circular scale. For example for the perturbation order N = 20 instead of 19! ≈ 1.216 × 1017 Feynman diagrams, the contribution of which should be derived and calculated, only less than 218 ≈ 2.621 × 105 terms belonging to N = 20 should be taken into account to the same purpose.
Highlights
Time Notion and Its Subjective CharacterTime notion penetrates our everyday life and this penetration concerns obviously the science, too
How to cite this paper: Olszewski, S. (2014) Circular Scale of Time and Energy of a Quantum State Calculated from the Schrödinger Perturbation Theory
A look on quantum mechanics indicates that the time scale applied in it can depend on the kind of the examined problem
Summary
Time notion penetrates our everyday life and this penetration concerns obviously the science, too. The human nature of an observer grown up in the everyday life leads him a priori to a well-established notion of time and its scale. As an effect of these observations we get a notion of time as a label of a sequence of events extended between a very distant past and a very distant future. This is a commonly accepted idea which penetrated into science. The aim of the paper is to point out that for the perturbation problem met in quantum mechanics it becomes much more useful to develop a time scale which is different than a classical one. A new scale is a mixture of the progressive scale applied in the classical physics and a circular scale of time
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