Project-3/latex/sections/introduction.tex
2023-10-17 19:41:01 +02:00

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\section{Introduction}
We are surrounded by matter, which are made up of elementary particles. In the field of physics we want to understand the properties of these particles, measure their physical quantities, not to mention explain the origin of mass \cite{britannica:2023:matter}.
However, to study a particle, it is necessary isolate and contain it over time. The Penning trap is a device, able to confine charged particles for a period of time. This concept was evolved from F. M. Penning's implementation of magnetic fiels to a vaccum gauge, and J. R. Pierce's work with electron beams, and put into practice by Hans Dehmelt. In 1973 Dehmelt and his group of researchers were able to contain a particle and store it over several months \cite{vogel:2018:ch1}.
We want to study the effects of the Penning trap, when it is used to confine charged particles. Our focus will be on an ideal Penning trap, where an electrostatic field confines the particle in z-direction, and a magnetic field confines it in the radial direction. Using a numerical approach we will model a single particle, to study the particle motion in radial direction. In addition, we will model a system of particles, to study their motion both with and without particle interaction.
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