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arXiv · 2006.15908

Integrability of the Trapped Ionic System

Georgi Georgiev
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Abstract

In this paper we will explore the 2D system describing trapped ionic system in the quadrapole field with a superposition of rationally symmetric hexapole and octopole fields for meromorphic integrability. We use the Lyapunov's and Ziglin-Morales-Ruiz-Ramis's classical methods for the proofs. The monodromy group of the normal variational equation (NVE), which is a Heun equation, is studied for commutativity. Some classical and modern results from the theory of transcendental numbers are used for the research.

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Georgi Georgiev. 2021-03-02. Integrability of the Trapped Ionic System. https://doi.org/10.1063/5.0041696

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