Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system

dc.creatorDayi, Omer F.
dc.date2007-09-25
dc.date2008-07-08
dc.date.accessioned2026-07-07T11:37:28Z
dc.date.available2026-07-07T11:37:28Z
dc.descriptionThe dynamics of observables which are matrices depending on \hbar and taking values in classical phase space is defined retaining the terms up to the first order in \hbar of the Moyal bracket. Within this semiclassical approach a first order lagrangian involving gauge fields is studied as a constrained hamiltonian system. This provides a systematic study of spin dynamics in the presence of non-abelian Berry gauge fields. We applied the method to various types of dynamical spin systems and clarified some persisting discussions. In particular employing the Berry gauge field which generates the Thomas precession, we calculated the force exerted on an electron in the external electric and magnetic fields. Moreover, a simple semiclassical formulation of the spin Hall effect is accomplished.
dc.descriptionReferences and some clarification added. Published version
dc.identifierhttps://arxiv.org/abs/0709.3908
dc.identifierhttp://arxiv.org/abs/0709.3908
dc.identifierJ.Phys.A41:315204,2008
dc.identifierdoi:10.1088/1751-8113/41/31/315204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199215
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleSpin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system
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