| Issue |
Europhys. Lett.
Volume 72, Number 1, October 2005
|
|
|---|---|---|
| Page(s) | 7 - 13 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10205-1 | |
| Published online | 31 August 2005 | |
Topological spin transport of a relativistic electron
Bar-Ilan University - Ramat-Gan, 52900, Israel
Received:
15
March
2005
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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