Abstract
An essential simplification of approach to the Schrodinger perturbation series for energy does hold when the perturbation events are arranged along a circular scale of time. The aim of the present paper is to demonstrate how such a scale of time leads to the recurrence calculation process of the Schrodinger energy terms belonging to an arbitrary perturbation order N. This process seems to have never been represented before. Only a non-degenerate quantum state and its perturbation due to the space-dependent potential are considered in the paper.
Highlights
In science an identical result obtained in two different ways does not necessarily mean an effect of a secondary importance
The aim of the present paper is to demonstrate how such a scale of time leads to the recurrence calculation process of the Schrödinger energy terms belonging to an arbitrary perturbation order N
The present paper considers the well-known Schrödinger perturbation series for energy of a non-degenerate quantum state; the applied perturbation potential does not depend on time
Summary
In science an identical result obtained in two different ways does not necessarily mean an effect of a secondary importance. An example is the Schrödinger perturbation formalism. In order to get it Schrödinger elaborated a special treatment of the inhomogeneous differential equations in course of which the energies and wave functions of a stationary quantum state perturbed by a time-independent potential could be calculated with the aid of the energies and wave functions representing the unperturbed quantum states of a given system [1]. The unperturbed system was less complicated than a perturbed one, and the perturbation was limited to the potentials difference entering the perturbed and original state. An effective formalism leading to the Schrödinger results is based usually on an iterative process; see e.g.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
