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• W2948682016 abstract "In this article, we studied the problem of the Colombian potential perturbed by van der Waals potential interacting with combined electric and magnetic fields, known as Stark and Zeeman effects, and we determined new integrable cases by using the Painlevé analysis for 2D integrability. This analysis contains three steps: Leading-order behaviors, resonances, and evaluation of arbitrary constants. We also determined the associated second integrals of motion. We verified the integrability of the problem in 3D, with determination of the integrals of motion. We justified the results by numerical investigations using the Poincaré surfaces of the section, and we observed the transition chaos-order-chaos when we varied one of the system parameters." @default.
• W2948682016 created "2019-06-14" @default.
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• W2948682016 date "2019-06-01" @default.
• W2948682016 modified "2023-09-26" @default.
• W2948682016 title "The hydrogen atom in the van der Waals potential combined by magnetic and electric fields, Painlevé analysis, and integrability" @default.
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• W2948682016 doi "https://doi.org/10.1063/1.5090485" @default.
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