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



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Rubio, Jesús and Luis Aina, Alfredo (2014) Spin state in the propagation of quantum relativistic particles along classical trajectories. Physical review A, 89 (5). 052128/1- 052128/7. ISSN 1050-2947


Official URL: http://dx.doi.org/10.1103/PhysRevA.89.052128



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.

Item Type:Article
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©2014 American Physical Society. A.L. acknowledges support from Projects No. FIS2012-35583 of the Spanish Ministerio de Economía y Competitividad and No. QUITEMAD S2009-ESP-1594 of the Consejería de Educación de la Comunidad de Madrid.

Uncontrolled Keywords:Dirac-equation; Optical fibers; Polarization; Rotation
Subjects:Sciences > Physics > Optics
ID Code:30179
Deposited On:20 May 2015 14:27
Last Modified:20 May 2015 14:27

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