Spin dependent observable effect for free particles using the arrival time distribution

Details Spin dependent observable effect for free particles using the arrival time distribution Spin dependent observable effect for free particles using the arrival time distribution

2003-06-16

arxiv.org/abs/quant-ph/0306106v2

Phys. Rev. A68, 042105 (2003)

Physics

Quantum Physics

5 Latex pages, 2.eps figures; discussions sharpened and references added; accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.68.042105

The mean arrival time of free particles is computed using the quantum probability current. This is uniquely determined in the non-relativistic limit of Dirac equation, although the Schroedinger probability current has an inherent non-uniqueness. Since the Dirac probability current involves a spin-dependent term, an arrival time distribution based on the probability current shows an observable spin-dependent effect, even for free particles. This arises essentially from relativistic quantum dynamics, but persists even in the non-relativistic regime.

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