Abstract
The Schrodinger perturbation energy for an arbitrary order N of the perturbation has been presented with the aid of a circular scale of time. The method is of a recurrent character and developed for a non-degenerate quantum state. It allows one to reduce the inflation of terms necessary to calculate known from the Feynman’s diagrammatical approach to a number below that applied in the original Schrodinger perturbation theory.
Highlights
The conceptual background of quantum mechanics seems to be inadequate when the perturbation methods are considered; see e.g. [1]
On one side a complicated Schrödinger formalism should be applied, [2], yet on the other side an inflation of terms, provided by the diagrammatical method based on the Feynman classification of the perturbation process, completed with the aid of the time variable comes into play [3] [4]
The aim of this paper is to address these highlighted problems by applying a circular scale of time with diagrams
Summary
The conceptual background of quantum mechanics seems to be inadequate when the perturbation methods are considered; see e.g. [1]. On one side a complicated Schrödinger formalism should be applied, [2], yet on the other side an inflation of terms, provided by the diagrammatical method based on the Feynman classification of the perturbation process, completed with the aid of the time variable comes into play [3] [4]. Both methods can be tedious to follow especially when a large perturbation order N is taken into account. The present contribution combines the results obtained from both the circular scale and the partition properties of N This method allows us to calculate the Schrödinger terms for energy for an arbitrary N. The presentation commences with an outline of a theory relating to time
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