Charged Particles in a 2+1 Curved Background
High Energy Physics - Theory
2016-09-06 v1 Plasma Physics
Abstract
The coupling to a 2+1 background geometry of a quantized charged test particle in a strong magnetic field is analyzed. Canonical operators adapting to the fast and slow freedoms produce a natural expansion in the inverse square root of the magnetic field strength. The fast freedom is solved to the second order. At any given time, space is parameterized by a couple of conjugate operators and effectively behaves as the `phase space' of the slow freedom. The slow Hamiltonian depends on the magnetic field norm, its covariant derivatives, the scalar curvature and presents a peculiar coupling with the spin-connection.
Cite
@article{arxiv.hep-th/9803187,
title = {Charged Particles in a 2+1 Curved Background},
author = {P. Maraner},
journal= {arXiv preprint arXiv:hep-th/9803187},
year = {2016}
}
Comments
22 pages