dorsal/arxiv
View SchemaSemiclassical dynamics of a spin-1/2 in an arbitrary magnetic field
| Authors | Adrian Alscher, Hermann Grabert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904102 |
| URL | https://arxiv.org/abs/quant-ph/9904102 |
| DOI | 10.1088/0305-4470/32/26/309 |
| Journal | J.Phys.A32:4907-4919,1999 |
Abstract
The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical approximation leads to a continuous minimal action path with jumps at the endpoints. The resulting semiclassical propagator is shown to coincide with the exact quantum mechanical propagator. A non-linear transformation of the angle variables allows for a determination of the semiclassical path and the jumps without solving a boundary-value problem. The semiclassical spin dynamics is thus readily amenable to numerical methods.
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"abstract": "The spin coherent state path integral describing the dynamics of a\nspin-1/2-system in a magnetic field of arbitrary time-dependence is considered.\nDefining the path integral as the limit of a Wiener regularized expression, the\nsemiclassical approximation leads to a continuous minimal action path with\njumps at the endpoints. The resulting semiclassical propagator is shown to\ncoincide with the exact quantum mechanical propagator. A non-linear\ntransformation of the angle variables allows for a determination of the\nsemiclassical path and the jumps without solving a boundary-value problem. The\nsemiclassical spin dynamics is thus readily amenable to numerical methods.",
"arxiv_id": "quant-ph/9904102",
"authors": [
"Adrian Alscher",
"Hermann Grabert"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/32/26/309",
"journal_ref": "J.Phys.A32:4907-4919,1999",
"title": "Semiclassical dynamics of a spin-1/2 in an arbitrary magnetic field",
"url": "https://arxiv.org/abs/quant-ph/9904102"
},
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