Quantile Motion and Tunneling

Details Quantile Motion and Tunneling Quantile Motion and Tunneling

1998-09-17

arxiv.org/abs/quant-ph/9809053v1

Phys.Lett. A249 (1998) 265-270

Physics

Quantum Physics

13 pages, LaTeX, elsart, 3 ps figures, submitted to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(98)00730-0

The concepts of quantile position, trajectory, and velocity are defined. For a tunneling quantum mechanical wave packet, it is proved that its quantile position always stays behind that of a free wave packet with the same initial parameters. In quantum mechanics the quantile trajectories are mathematically identical to Bohm's trajectories. A generalization to three dimensions is given.

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