Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
Jens Bolte, Stefan Keppeler
Abstract
We investigate the Dirac equation in the semiclassical limit --> 0. A semiclassical propagator and a trace formula are derived and are shown to be determined by the classical orbits of a relativistic point particle. In addition, two phase factors enter, one of which can be calculated from the Thomas precession of a classical spin transported along the particle orbits. For the second factor we provide an interpretation in terms of dynamical and geometric phases.
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