论文标题
捕获离子系统的可集成性
Integrability of the Trapped Ionic System
论文作者
论文摘要
在本文中，我们将探索2D系统，描述了四极字段中捕获的离子系统，并具有合理对称的己酮和章鱼场的叠加，以实现meromormormorphic集成性。我们使用Lyapunov和Ziglin-Morales-Ruiz-Ramis的经典方法用于证明。对正常变异方程式（NVE）的单构型组（是一个heun方程）进行了研究，以进行交换。该研究使用了一些来自先验数字理论的经典和现代结果。
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.
