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

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dc.creatorRozmej, P.
dc.creatorArvieu, R.
dc.date1999-03-22
dc.date.accessioned2026-07-07T10:55:10Z
dc.date.available2026-07-07T10:55:10Z
dc.descriptionThe 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.
dc.descriptionLaTeX2e, uses IOP style files (included), 14 pages, 9 separate postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9903073
dc.identifierhttp://arxiv.org/abs/quant-ph/9903073
dc.identifierJ.Phys.A32:5367-5382,1999
dc.identifierdoi:10.1088/0305-4470/32/28/314
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186034
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectAtomic Physics
dc.titleThe Dirac Oscillator. A relativistic version of the Jaynes--Cummings model
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