Spin state in the propagation of quantum relativistic particles along classical trajectories

We address the propagation of the spin along classical trajectories for a spin-1/2 particle obeying the Dirac equation with scalar potentials. Focusing on classical trajectories as the exact propagation of wave-function discontinuities, we find an explicit spin-transport law for the case of the Dira...

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Detalles Bibliográficos
Autores: Rubio, Jesús, Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34648
Acceso en línea:https://hdl.handle.net/20.500.14352/34648
Access Level:acceso abierto
Palabra clave:535
Dirac-equation
Optical fibers
Polarization
Rotation
Óptica (Física)
2209.19 Óptica Física
Descripción
Sumario:We address the propagation of the spin along classical trajectories for a spin-1/2 particle obeying the Dirac equation with scalar potentials. Focusing on classical trajectories as the exact propagation of wave-function discontinuities, we find an explicit spin-transport law for the case of the Dirac oscillator. In the general case we examine the spin propagation along classical trajectories emerging as an approximation of the quantum dynamics via the mechanical analog of the optical eikonal asymptotic approach. Throughout we establish as many parallels as possible with the equivalent situation for the electromagnetic field.