Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates
High Energy Physics - Theory
2017-05-02 v3 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in spin indices is proposed. The particle number and current densities for the Dirac particles are acquired in the helicity basis. Following a similar procedure, semiclassical kinetic theory of the Weyl particles is accomplished. It is shown that the phase-space dynamics of the Weyl and Dirac particles is directly linked. The anomalous chiral effects due to the external electromagnetic fields and angular velocity of the frame are calculated.
Keywords
Cite
@article{arxiv.1605.05451,
title = {Semiclassical dynamics of Dirac and Weyl particles in rotating coordinates},
author = {O. F. Dayi and E. Kilincarslan and E. Yunt},
journal= {arXiv preprint arXiv:1605.05451},
year = {2017}
}
Comments
Appendix added. Published version