Semiclassical dynamics of a spin-1/2 in an arbitrary magnetic field

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dc.creatorAlscher, Adrian
dc.creatorGrabert, Hermann
dc.date1999-04-29
dc.date.accessioned2026-07-07T10:55:12Z
dc.date.available2026-07-07T10:55:12Z
dc.descriptionThe 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.
dc.description16 pages, submitted to Journal of Physics A
dc.identifierhttps://arxiv.org/abs/quant-ph/9904102
dc.identifierhttp://arxiv.org/abs/quant-ph/9904102
dc.identifierJ.Phys.A32:4907-4919,1999
dc.identifierdoi:10.1088/0305-4470/32/26/309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186040
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleSemiclassical dynamics of a spin-1/2 in an arbitrary magnetic field
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