Topological spin transport of a relativistic electron
Abstract
Semiclassical (with an accuracy of hbar) motion equations for a relativistic electron, which follow from the Dirac equation, are derived. We determine both the evolution equation for electron polarization, which takes the nonAbelian Berry phase into account, and Hamiltonian equations for trajectories of the particle's center in the phase space. The equations have covariant form with respect to U(2) gauge transformations and contain topological spin terms that are connected to the Berry gauge field arising during the diagonalization of the Dirac equation. The trajectory equations substantially differ from the traditional ones and predict a number of new observable phenomena.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 October 2005
 DOI:
 10.1209/epl/i2005102051
 arXiv:
 arXiv:quantph/0501183
 Bibcode:
 2005EL.....72....7B
 Keywords:

 Quantum Physics;
 Other
 EPrint:
 10 pages, to appear in Europhysics Letters