Article
Version 1
Preserved in Portico This version is not peer-reviewed
Perturbation-Based Non-Perturbative Method
Version 1
: Received: 4 August 2023 / Approved: 4 August 2023 / Online: 7 August 2023 (03:04:12 CEST)
How to cite: Dai, W. Perturbation-Based Non-Perturbative Method. Preprints 2023, 2023080432. https://doi.org/10.20944/preprints202308.0432.v1 Dai, W. Perturbation-Based Non-Perturbative Method. Preprints 2023, 2023080432. https://doi.org/10.20944/preprints202308.0432.v1
Abstract
This paper presents a non-perturbative method for solving eigenproblems. This method applies to almost all potentials and provides non-perturbative approximations for any energy level. The method converts an eigenproblem into a perturbation problem, obtains perturbation solutions through standard perturbation theory, and then analytically continues the perturbative solution into a non-perturbative solution.
Keywords
Non-perturbative Method; Eigenproblem; Analytic continuation; Rational approximation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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