Classical Model of the Dirac Electron in Curved Space

摘要

The action for the classical model of the electron exhibiting Zitterbewegung is generalized to curved space by introducing a spin connection. The dynamical equations and the symplectic structure are given for several different choices of the variables. In particular, we obtain the equation of motion for spin and compare it with the Papapetrou equation. 18 refs. (Atomindex citation 18:062444)