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Lecture# Relativistic Motion of Charged Particles

Description

This lecture covers the relativistic motion of a charged particle in a constant electric field, including Lorentz covariant formulation of electrodynamics, Maxwell equations, EM radiation, and the relativistic Larmor power emitted by accelerated charged particles. The instructor explains the concepts using examples and discusses the non-relativistic limit. The lecture also delves into the Lorentz invariance and the use of 4-vectors in understanding the dynamics of charged particles.

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Related concepts (40)

PHYS-324: Classical electrodynamics

The goal of this course is the study of the physical and conceptual consequences of Maxwell equations.

Electric field

An electric field (sometimes E-field) is the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. Electric fields originate from electric charges and time-varying electric currents. Electric fields and magnetic fields are both manifestations of the electromagnetic field, one of the four fundamental interactions (also called forces) of nature.

Particle beam

A particle beam is a stream of charged or neutral particles. In particle accelerators, these particles can move with a velocity close to the speed of light. There is a difference between the creation and control of charged particle beams and neutral particle beams, as only the first type can be manipulated to a sufficient extent by devices based on electromagnetism. The manipulation and diagnostics of charged particle beams at high kinetic energies using particle accelerators are main topics of accelerator physics.

Quantum electrodynamics

In particle physics, quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. In essence, it describes how light and matter interact and is the first theory where full agreement between quantum mechanics and special relativity is achieved. QED mathematically describes all phenomena involving electrically charged particles interacting by means of exchange of photons and represents the quantum counterpart of classical electromagnetism giving a complete account of matter and light interaction.

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

Particle accelerator

A particle accelerator is a machine that uses electromagnetic fields to propel charged particles to very high speeds and energies, and to contain them in well-defined beams. Large accelerators are used for fundamental research in particle physics. The largest accelerator currently active is the Large Hadron Collider (LHC) near Geneva, Switzerland, operated by the CERN. It is a collider accelerator, which can accelerate two beams of protons to an energy of 6.5 TeV and cause them to collide head-on, creating center-of-mass energies of 13 TeV.

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Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Relativistic Larmor Formula: Synchrotron RadiationPHYS-324: Classical electrodynamics

Explores the relativistic Larmor formula and synchrotron radiation in the context of accelerated charged particles and electromagnetic fields.

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Covers the radiation-reaction force, conservation of momentum, and correct force expressions.

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Covers Newton's three laws of motion, fundamental forces, and exercises, including gravitational and electromagnetic forces.