Phys. Rev. Lett. 81, 1987–1991 (1998)Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 ParticlesReceived 14 May 1998; published in the issue dated 7 September 1998 We investigate the Dirac equation in the semiclassical limit ħ→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. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.1987
DOI:
10.1103/PhysRevLett.81.1987
PACS:
03.65.Sq, 03.65.Pm
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.