Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles

Details Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles

1998-05-14

arxiv.org/abs/quant-ph/9805041v1

Phys.Rev.Lett. 81 (1998) 1987-1991

Physics

Quantum Physics

8 pages, no figures

Scientific paper

10.1103/PhysRevLett.81.1987

We investigate the Dirac equation in the semiclassical limit \hbar --> 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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