Europhys. Lett.
Volume 72, Number 1, October 2005
Page(s) 7 - 13
Section General
Published online 31 August 2005
Europhys. Lett., 72 (1), pp. 7-13 (2005)
DOI: 10.1209/epl/i2005-10205-1

Topological spin transport of a relativistic electron

K. Yu. Bliokh

Bar-Ilan University - Ramat-Gan, 52900, Israel

received 15 March 2005; accepted in final form 2 August 2005
published online 31 August 2005

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 non-Abelian 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.

03.65.Pm - Relativistic wave equations.

© EDP Sciences 2005