𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A universal phase space for particles in Yang-Mills fields

✍ Scribed by Alan Weinstein

Publisher
Springer
Year
1978
Tongue
English
Weight
167 KB
Volume
2
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

✦ Synopsis

Given a principal G-bundle P over M and a Hamiltonian G-space Q, one may construct the reduced symplectic manifold (T*P β€’ Q)o-When a connection on P is chosen, this manifold becomes a bundle over T*M with fibre Q. It is shown that this bundle is precisely the phase space constructed by Sternberg for a classical particle in a Yang-Mills field.

πŸ“œ SIMILAR VOLUMES

Canonical formulations of a classical pa
Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
✍ Richard Montgomery πŸ“‚ Article πŸ“… 1984 πŸ› Springer 🌐 English βš– 316 KB

Wong [14] introduced equations of motion for a spin 0 particle in a Yang-Mills field which was widely accepted among physicists. It is shown that these are equivalent to the various mathematical formulations for the motion of such particles as given by the Kaluza-Klein formulation of Kemer [4], and

A Phase Field Crystal Approach for Parti
A Phase Field Crystal Approach for Particles in a Flowing Solvent
✍ Simon Praetorius; Axel Voigt πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 357 KB

## Abstract A number of dynamic density functional theories (dDFTs) have been developed to describe the dynamics of the one‐particle density of atomic fluids. We review an approach that accounts for particle advection by a flowing solvent, and make further approximations using a locally advected ph