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Phys. Rev. A 68, 042105 (2003) [5 pages]

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

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Md. Manirul Ali1,*, A. S. Majumdar1,†, Dipankar Home2, and Shyamal Sengupta3
1S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Calcutta 700098, India
2Department of Physics, Bose Institute, Calcutta 700009, India
3Jadavpur University, Calcutta 700032, India

Received 16 June 2003; published 9 October 2003

The mean arrival time of free particles is computed using the quantum-mechanical probability current. This is uniquely determined in the nonrelativistic limit of Dirac equation, although the Schrödinger probability current has an inherent nonuniqueness. Since the Dirac probability current contains 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 nonrelativistic regime.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.042105
DOI:
10.1103/PhysRevA.68.042105
PACS:
03.65.Ta

*Electronic address: mani@bose.res.in

Electronic address: archan@bose.res.in