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.
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.
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