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Updated: Oct 30, 2025

Preparing an Isotopically Pure 229Th Ion Beam for Studies of 229mTh
Published on: May 3, 2019
Theoretical fractional formulation of a three-dimensional radio frequency ion trap (Paul-trap) for optimum mass
Sarkhosh Seddighi Chaharborj1,2, Shahriar Seddighi Chaharborj3, Zahra Seddighi Chaharborj4
1School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada.
Abstract:
We investigate the dynamics of an ion confined in a Paul-trap supplied by a fractional periodic impulsional potential. The Cantor-type cylindrical coordinate method is a powerful tool to convert differential equations on Cantor sets from cantorian-coordinate systems to Cantor-type cylindrical coordinate systems. By applying this method to the classical Laplace equation, a fractional Laplace equation in the Cantor-type cylindrical coordinate is obtained. The fractional Laplace equation is solved in the Cantor-type cylindrical coordinate, then the ions is modelled and studied for confined ions inside a Paul-trap characterized by a fractional potential. In addition, the effect of the fractional parameter on the stability regions, ion trajectories, phase space, maximum trapping voltage, spacing between two signals and fractional resolution is investigated and discussed.
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