Miniaturizing Large Hadron Collider (LHC): charged particle dynamics in electromagnetic field

Abstract

This dissertation investigates the behavior of charged particles in electromagnetic fields, emphasizing both theoretical and computational perspectives. The study addresses the intricate dynamics of charged particle motion, which are critical to advancements in fields such as particle physics, plasma research, and electromagnetic device design. By exploring the interplay of classical and relativistic effects, the research seeks to enhance our understanding of particle trajectories under diverse electromagnetic conditions.

A significant portion of the dissertation focuses on relativistic charged particle motion under the influence of strong electromagnetic fields. Utilizing tensor-based formulations and relativistic transformations, the research uncovers the complex effects of high velocities, contributing to fields such as astrophysics and accelerator technologies.

The findings of this study provide valuable contributions to the fields of theoretical electromagnetism and particle dynamics. Potential applications include the miniaturization of high-energy devices, improved designs for particle accelerators, and more efficient computational tools for modeling electromagnetic interactions. These advancements lay the groundwork for future innovations in compact, energy-efficient technologies and high-precision electromagnetic systems.