A physically transparent and mathematically simple semiclassical model isemployed to examine dynamics in the central-spin problem. The results reproducea number of previous findings obtained by various quantum approaches and, atthe same time, provide information on the electron spin dynamics and Berry'sphase effects over a wider range of experimentally relevant parameters thanavailable previously. This development is relevant to dynamics of boundmagnetic polarons and spin dephasing of an electron trapped by an impurity or aquantum dot, and coupled by a contact interaction to neighboring localizedmagnetic impurities or nuclear spins. Furthermore, it substantiates theapplicability of semiclassical models to simulate dynamic properties ofspintronic nanostructures with a mesoscopic number of spins.
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