dorsal/arxiv
View SchemaThe Dirac Oscillator. A relativistic version of the Jaynes--Cummings model
| Authors | P. Rozmej, R. Arvieu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9903073 |
| URL | https://arxiv.org/abs/quant-ph/9903073 |
| DOI | 10.1088/0305-4470/32/28/314 |
| Journal | J.Phys.A32:5367-5382,1999 |
Abstract
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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"abstract": "The dynamics of wave packets in a relativistic Dirac oscillator is compared\nto that of the Jaynes-Cummings model. The strong spin-orbit coupling of the\nDirac oscillator produces the entanglement of the spin with the orbital motion\nsimilar to what is observed in the model of quantum optics. The collapses and\nrevivals of the spin which result extend to a relativistic theory our previous\nfindings on nonrelativistic oscillator where they were known under the name of\n`spin-orbit pendulum\u0027. There are important relativistic effects (lack of\nperiodicity, zitterbewegung, negative energy states). Many of them disappear\nafter a Foldy-Wouthuysen transformation.",
"arxiv_id": "quant-ph/9903073",
"authors": [
"P. Rozmej",
"R. Arvieu"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"physics.atom-ph"
],
"doi": "10.1088/0305-4470/32/28/314",
"journal_ref": "J.Phys.A32:5367-5382,1999",
"title": "The Dirac Oscillator. A relativistic version of the Jaynes--Cummings model",
"url": "https://arxiv.org/abs/quant-ph/9903073"
},
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