dorsal/arxiv
View SchemaSpin-orbit pendulum - Relativistic extension
| Authors | M. Turek, P. Rozmej, R. Arvieu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909023 |
| URL | https://arxiv.org/abs/quant-ph/9909023 |
| Journal | Acta Phys. Polon. B31 (2000) 517 |
Abstract
We discuss an extension of the theory of {\em spin-orbit pendulum} phenomenon given in [1] to relativistic approach. It is done within the so called Dirac Oscillator. Our first results, focusing on circular wave packet motion have been published recently [2]. The scope of this paper is motion of a linear wave packet. In relativistic approach we found {\em Zitterbewegung} in spin-orbit motion (in Dirac representation) due to coupling to negative energy states. This effect is washed out in the Foldy-Wouthuysen representation. Another important change with respect to non-relativistic case is the loss of periodicity. The phenomenon reminds the time evolution of population inversion in Jaynes-Cummings model.
{
"annotation_id": "69907c06-2809-438c-8394-dfb3667ca9a1",
"date_created": "2026-03-02T18:02:48.468000Z",
"date_modified": "2026-03-02T18:02:48.468000Z",
"file_hash": "029256423cc5b7e2136018560269bbdf24d3981326e1cc005e26e070513e4be7",
"private": false,
"record": {
"abstract": "We discuss an extension of the theory of {\\em spin-orbit pendulum} phenomenon\ngiven in [1] to relativistic approach. It is done within the so called Dirac\nOscillator. Our first results, focusing on circular wave packet motion have\nbeen published recently [2]. The scope of this paper is motion of a linear wave\npacket. In relativistic approach we found {\\em Zitterbewegung} in spin-orbit\nmotion (in Dirac representation) due to coupling to negative energy states.\nThis effect is washed out in the Foldy-Wouthuysen representation. Another\nimportant change with respect to non-relativistic case is the loss of\nperiodicity. The phenomenon reminds the time evolution of population inversion\nin Jaynes-Cummings model.",
"arxiv_id": "quant-ph/9909023",
"authors": [
"M. Turek",
"P. Rozmej",
"R. Arvieu"
],
"categories": [
"quant-ph"
],
"journal_ref": "Acta Phys. Polon. B31 (2000) 517",
"title": "Spin-orbit pendulum - Relativistic extension",
"url": "https://arxiv.org/abs/quant-ph/9909023"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a86e20e1-fdee-41a7-9c7d-6032abf17f67",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}