paper

Quantile Motion and Tunneling

arXiv:quant-ph/9809053 · doi:10.1016/S0375-9601(98)00730-0

Abstract

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.

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

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