Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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)

A peer-reviewed article of this Preprint also exists.

Chang Liu, Wen-Du Li, Wu-Sheng Dai. Perturbation-based nonperturbative method. Annals of Physics. Volume 468, September 2024, 169741. https://doi.org/10.1016/j.aop.2024.169741. Chang Liu, Wen-Du Li, Wu-Sheng Dai. Perturbation-based nonperturbative method. Annals of Physics. Volume 468, September 2024, 169741. https://doi.org/10.1016/j.aop.2024.169741.

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

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