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.
References
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Tong, B.Y. (1962) On Huby’s Rules for Non-Degenerate Rayleigh-Schrodinger Perturbation Theory in Any Order. Proceedings of the Physical Society (London), 80, 1101-1104. http://dx.doi.org/10.1088/0370-1328/80/5/308
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Olszewski, S. (2011) Circular Scale of Time Applied in Classifying the Quantum-Mechanical Energy Terms Entering the Framework of the Schrodinger Perturbation Theory. Journal of Quantum Information Science, 1, 142. http://dx.doi.org/10.4236/jqis.2011.13020
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