Hamilton–Dirac systems for charged particles in gauge fields

@article{Jimnez2015HamiltonDiracSF,
title={Hamilton–Dirac systems for charged particles in gauge fields},
author={F. Jim{\'e}nez},
journal={Journal of Geometry and Physics},
year={2015},
volume={94},
pages={35-49}
}

Abstract In this work, we use the Sternberg phase space (which may be considered as the classical phase space of particles in gauge fields) in order to explore the dynamics of such particles in the context of Hamilton–Dirac systems and their associated Hamilton–Pontryagin variational principles. For this, we develop an analogue of the Pontryagin bundle in the case of the Sternberg phase space. Moreover, we show the link of this new bundle to the so-called magnetized Tulczyjew triple, which is… Expand