Publication

Relativistic guiding centre drift orbits in canonical and magnetic coordinates

Wilfred Anthony Cooper
1997
Journal Articles

Abstract

The Hamiltonian formulation of the guiding centre drift orbits for three-dimensional (3D) toroidal configurations with general time-dependent electric and magnetic field structures has been extended to cover relativistic particles. For static 3D magnetic fields with nested magnetic surfaces, a mapping procedure from the equilibrium to the canonical coordinates is outlined. This transformation is shown to be so complicated that it renders impractical most applications in canonical coordinates. For magnetic coordinates, the transformation is straightforward. The relativistic guiding centre drift equations are explicitly derived with a constrained perturbed magnetic field that allows these coordinates to adopt a canonical structure.

Official source

https://infoscience.epfl.ch/entities/publication/4f9c836c-afdd-4f13-8c5d-126144dd5036

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Wilfred Anthony Cooper
1997
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4f9c836c-afdd-4f13-8c5d-126144dd5036

About this result

Related concepts (32)

Canonical coordinates

In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time. Canonical coordinates are used in the Hamiltonian formulation of classical mechanics. A closely related concept also appears in quantum mechanics; see the Stone–von Neumann theorem and canonical commutation relations for details.

Hamiltonian mechanics

Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena. Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics.

Field-reversed configuration

A field-reversed configuration (FRC) is a type of plasma device studied as a means of producing nuclear fusion. It confines a plasma on closed magnetic field lines without a central penetration. In an FRC, the plasma has the form of a self-stable torus, similar to a smoke ring. FRCs are closely related to another self-stable magnetic confinement fusion device, the spheromak. Both are considered part of the compact toroid class of fusion devices.

Related publications (32)

Relativistic guiding centre drift orbits in canonical and magnetic coordinates

Chat with Graph Search

A Diffusion Framework for Geometrically Valid and Practically Viable 3D Molecular Generation

First Demonstration of Resonant Pitch-Angle Scattering of Relativistic Electrons by Externally Launched Helicon Waves

Advanced SQUID-on-lever scanning probe for high-sensitivity magnetic microscopy with sub-100-nm spatial resolution