The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model

Details The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model

1999-03-22

arxiv.org/abs/quant-ph/9903073v1

J.Phys.A32:5367-5382,1999

Physics

Quantum Physics

LaTeX2e, uses IOP style files (included), 14 pages, 9 separate postscript figures

Scientific paper

10.1088/0305-4470/32/28/314

The dynamics of wave packets in a relativistic Dirac oscillator is compared to that of the Jaynes-Cummings model. The strong spin-orbit coupling of the Dirac oscillator produces the entanglement of the spin with the orbital motion similar to what is observed in the model of quantum optics. The collapses and revivals of the spin which result extend to a relativistic theory our previous findings on nonrelativistic oscillator where they were known under the name of `spin-orbit pendulum'. There are important relativistic effects (lack of periodicity, zitterbewegung, negative energy states). Many of them disappear after a Foldy-Wouthuysen transformation.

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