dorsal/arxiv
View SchemaSemiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
| Authors | Jens Bolte, Stefan Keppeler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805041 |
| URL | https://arxiv.org/abs/quant-ph/9805041 |
| DOI | 10.1103/PhysRevLett.81.1987 |
| Journal | Phys.Rev.Lett. 81 (1998) 1987-1991 |
Abstract
We investigate the Dirac equation in the semiclassical limit \hbar --> 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.
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"abstract": "We investigate the Dirac equation in the semiclassical limit \\hbar --\u003e 0. A\nsemiclassical propagator and a trace formula are derived and are shown to be\ndetermined by the classical orbits of a relativistic point particle. In\naddition, two phase factors enter, one of which can be calculated from the\nThomas precession of a classical spin transported along the particle orbits.\nFor the second factor we provide an interpretation in terms of dynamical and\ngeometric phases.",
"arxiv_id": "quant-ph/9805041",
"authors": [
"Jens Bolte",
"Stefan Keppeler"
],
"categories": [
"quant-ph",
"chao-dyn",
"math-ph",
"math.MP",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.81.1987",
"journal_ref": "Phys.Rev.Lett. 81 (1998) 1987-1991",
"title": "Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles",
"url": "https://arxiv.org/abs/quant-ph/9805041"
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