论文标题

耦合两个频率山方程的分析近似解

Analytical Approximate Solution of a Coupled Two Frequency Hill's Equation

论文作者

Saxena, Varun

论文摘要

求解了两个频率丘陵方程。分析上近似解决方案使用修改的Lindstedt Poincare扰动方法得出正确的一阶。对于广泛的控制参数,我们比较数值和分析解决方案。解决方案是使用静电DC和RF场的组合离子陷阱中充电颗粒的电动力学的全面理解的第一步,以及恒定的静态磁场,并有限制抗药物的前景,例如抗氢,以进行相当长的时间。

A coupled two frequency Hill's equation is solved. Analytically approximate solution correct up-to first order is derived using modified Lindstedt Poincare perturbation method. For a wide range of controlling parameters we compare the numerical and analytical solutions. The solution is the first step towards developing a comprehensive understanding of the electrodynamics of charged particles in a combinational ion trap utilizing both electrostatic DC and RF fields along with a constant static magnetic field with prospects of confining antimatter such as anti hydrogen for a reasonably long durations of time.

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