Volume 72, Number 1, October 2005
|Page(s)||7 - 13|
|Published online||31 August 2005|
Topological spin transport of a relativistic electron
Bar-Ilan University - Ramat-Gan, 52900, Israel
Accepted: 2 August 2005
Semiclassical (with an accuracy of 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.
PACS: 03.65.Pm – Relativistic wave equations
© EDP Sciences, 2005
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