https://doi.org/10.1140/epjp/s13360-024-04991-w
Regular Article
Perturbation theory in the framework of the improved asymptotic iteration method
Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Unidad Profesional Adolfo López Mateos, Edificio 9, 07738, Ciudad de México, Ciudad de México, Mexico
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Received:
28
November
2023
Accepted:
11
February
2024
Published online:
15
March
2024
Abstract
Based on the concepts of the improved asymptotic iteration method, we modify the original asymptotic iteration method for perturbation problems previously published. In our computations, the proposed method proves to be significantly faster than the previous perturbative method as we make explicit in the examples given in this work. Our procedure enables us to compute the corrections to the energy eigenvalues to an order as high as 15 in numeric computations, and of order as high as 5 in symbolic ones.
J. Jaimes-Najera and A. Lopez-Ortega contributed equally to the paper.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
